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1^ U^i~<y\
fiarbarti €a\\tsz Itlirarg
THE GIFT OF
GINN AND COMPANY
3 2044 097 004 634
Mathematics for Common Schools
»
Part I
AN
ELEMENTARY ARITHMETIC
BY
JOHN H. WALSH
▲gSOCIATK 8UPBBINTBNDBNT OF PUBLIC INSTRUCTION,
BBOOKLTN, K.T.
BOSTON, U.8.A.
D. 0. HEATH & CO., PUBLISHERS
1898
of^it-c^'X^ I / r,^ff. ^ ^ "^
HARVARD COLLEGE UBRARy
GIFT OF
GINN & COMPANY
MARCH 17, 1927
Copyright, I8fl«,
Bt JOHN H. WALSH.
J. S. Cushlngr & Co. - Berwick & Smiti
Boston, Wass.. U.S^. '
CONTENTS. — PART I.
-•o*-
CHAPTER I.
PASS
Addition and Subtraction 1
Notation and Numeration to 99 3
Addition ' 3
Subtraction 9
Addition 15
Notation and Numeration to 999 \ . 18
Subtraction 26
Drills 28
CHAPTER II.
Multiplication and Division 36
Multiplication by 2 36
Division by 2 38
Notation and Numeration to 9,999 42
Multiplication by 3 50
Drills 51
Division by 3 54
Multiplication by 4 57
Division by 4 59
Multiplication by 5 62
Division by 5 63
United States Money 64
Addition and Subtraction 65
Fractional Parts of Numbers 67
Roman Notation 68
Liquid Measure 69
V
VI CONTENTS. — PART I.
CHAPTER III.
PAQB
Multiplication and Division — Ounce and Pound — Two Opera-
tions — Halves, Thirds, Fourths — Multiplication by a
Mixed Number 72
Multiplication by 6 72
Division by 6 75
Quotients and Remainders 80
Multiplication by a Mixed Number 81
Notation and Numeration to 99,999 83
Multiplication by 7 85
Division by 7 85
Multiplication by 8 90
Division by 8 90
Multiplication by 9 94
Division by 9 94
Multiplication by 10 98
Division by 10 98
Special Drills 99
Halves (Addition and Subtraction) 105
Fourths (Addition and Subtraction) 106
Thirds (Addition apd Subtraction) 107
CHAPTER IV.
Multipliers and Divisors of Two or More Figures — Multi-
pliers containing Fractions — Addition and Subtraction
of Easy Mixed Numbers — Inch, Foot, and Yard . . . 110
Halves and Fourths (Addition and Subtraction) 110
Multiplication by 11 and 12 113
' Division by 11 and 12 114
Multipliers ending in 118
Divisors ending in US
Long Measure 122
Multipliers of Two Digits 122
CONTENTS. — PART I. Vll
PAOX
Long DiviBion '. 124
Special Drills 127
Halves, Fourths, and Eighths 129
Multipliers ending with Ciphers 144
Halves, Thirds, and Sixths 145
Long Division Drills 148
Divisors ending with Ciphers 150
Thirds and Ninths 154
Special Drills 156
Multipliers of More than Two Figures 157
CHAPTER V.
Multipliers and Divisobs of Thbee ob More Figures — Addi-
tion AND Subtraction of Easy Fractions — Multiplication
BY A Mixed Numbee — Easy Denominate Numbers . . . 160
Multiplication hy a Mixed Number 160
Long Division 161
Special Drills 162
Mixed Numbers (Addition and Subtraction) 167
Dry Measure 170
Notation and Numeration to 999,999 172
More than One Operation 177
Easy Fractions (Addition and Subtraction) 179
Short Methods 181
Halves and Fifths 184
Fourths and Fifths 184
Long Division Drills 186
Thirds and Fourths 192
Denominate Numbers 194
Thirds and Fifths 201
Special Drills 203
Roman Notation 211
ELEMENTAEY AEITHMETIC.
CHAPTER I.
ADDITION AM) SUBTBAOTIOU.
ADDITION.
1. Oral Problems.
1. A girl pays four cents for a slate and one cent for a pencil.
How much do both cost ?
2. There are three pears on one plate and two on another.
How many are there on both plates ?
3. John had two marbles. How many had he after buying
four more ?
4. Mary is four years old, and Harry is two years' older.
How old is Harry ?
6. A boy lost three tops and had three tops left. How many
had he at first ?
6. How many cents will it take to buy a five-cent ball and a
two-cent kite ?
7. Ned has four large fire-crackers and four small ones. How
many fire-crackers has he ?
8. How many wheels has a bicycle? How many has a
tricycle ? How many have both together ?
1
2 ARITHMETIC.
9. I paid six cents for Roman candles and three cents for
torpedoes. How many cents did I spend ?
10. William rode four miles to his uncle's and four miles
home again. How many miles did he ride ?
NOTATION AND NUMERATION
2. The first nine numbers are written as follows :
One. Two. Three. Four. Five. Six. Seven. Eight Nine.
123456789
Zero, or nothing, is written 0.
3. Sight Ezeroises.
Add :
23 5 43423210
42153256389
5
7
1
6
4
2
3
4
6
2
5
4
3
4
7
6
5
2
8
4
9
1
7
2
3
8
1
4
1
3
6
1
4
1
1
« " —
3
7
6
5
•
3
2
6
5
1
1
6
2
1
8
3
1
5
1
1
2
1
1
2
1
4
2
5
8
2
7
3
7
4
2
Note.. Brief drills should be given regularly, upon the preceding com-
binations, as well as upon those that follow. It is important, however, not
to wast^ time by prolonging them too much.
ADDITION. 6
NOTATION AND NUMERATION.
4 Ten is written 10.
Ten and one are eleven, written 11. Ten and two are
twelve, written 12. Thirteen is written 13. Fourteen, 14. Fif-
teen, 15. Sixteen, 16. Seventeen, 17. Eighteen, 18. Nine-
teen, 19.
Twenty is written 20. Twenty-one, 21. Twenty-two, 22.
Thirty, 30. Forty, 40. Fifty, 50. Sixty, 60. Seventy, 70.
Eighty, 80. Ninety, 90.
5. Write in figures :
Twenty-three. Thirty-one. Forty-two. Fifty-four. Sixty-
five. Seventy-six. Eighty-seven. Ninety-eight.
Twenty-five. Thirty-six. Twenty-seven. Forty-eight.
Twenty-nine. Fifty. Fifteen. Seventeen. Seventy. Ninety-
nine. Eighty-four.
6. Read the following numbers :
11.
34,
45,
13,
10,
95,
16,
46.
19,
25,
94,
73,
90,
44,
60,
55,
21,
56,
83,
17,
54,
36,
50,
40,
33,
63.
72,
49,
74,
62,
47,
32,
71,
28,
52.
93,
75,
64,
48,
68,
18.
69,
12,
23,
57.
The right-hand figure is called the units* figure.
7. Slate Exercises.
If there are 12 boys in the first row and 11 boys in the second
row, how many are there in both rows ?
Write the numbers, placing the units* figure of the second 12 b,
under the units' figure of the first. Add the right-hand column, H J.
placing the total, 3, underneath. Then write the total of the —
other column. The answer is 23 boys. Use b. for boys. 28 b.
4
ARITHMETIC.
a Add:
»
I. 22
2. 10
3. 31
4. 16
5. 25
6. 50
30
45
14
40
2
6
7. 13
8. 26
9. 15
10. 27
11. 48
12. 72
42
30
41
12
51
23
13. 29
14. 15
15. 63
16. 76
17. 27
18. 90
40
62
15
20
71
8
19. 63 20. 36 21. 20 22. 46 23. 57 24. 60
30 63 75 40 31 35
_^ ____ / ^_
25. 71 26. 33 27. 44 28. 22 29. 96 30. 78
26 33 44 66 2 10
31. 35 32. 69 33. 28 34. 45 35. 74 36. 63
50 10 71 43 15 6
37. 35 38. 18 39. 43 40. 83 41. 25 42. 43
54 60 25 6 50 34
43. 26 44. 27 45. 39 46. 45 47. 63 48. 24
71 61 60 ' 4 6 62
9. Slate Problems.
49. How many are 21 cows and 13 cows?
Write c. for cows.
60. 16 apples and 10 apples? 40 roses and 21 roses? 30
fire-crackers and 50 fire-crackers? 22 cents and 41 cents?
ADDITION. 5
51. Mary paid 50 cents for a doll and 15 cents for a rubber
ball. How much did both cost ?
Write f for cents.
62. There were 16 horses in the field. A man put in 3 more.
How many horses were then in the field ?
53. Jane is 10 years old ; her mother is 20 years older. How
old is her mother ?
54. A farmer sold 40 eggs on Monday. On Tuesday he sold
24 eggs. How many did he sell on both days ?
55. There are 32 pages in John's book. In William's book
there are 14 pages more than there are in John's. How many
pages are there in William's book ?
56. How much would you pay for a quart of ice-cream at 40
cents and a quart of strawberries at 15 cents ?
57. If there are 50 boys in one class and 40 boys in another
class, how many are there in the two classes ?
58. A girl has read 25 pages in a primer and 40 pages in a
first reader. How many pages has she read in both books ?
59. There are 14 houses on one side of a street and 13 on the
other side. How many houses are there on both sides ?
10. Oral Problems.
1. A wheel-barrow has 1 wheel, a cart has 2 wheels, and a
wagon has 4 wheels. How many wheels are there on all three ?
2. A boy has 5 cents in his bank, 3 cents in his desk, and
1 cent in his pocket. How much money has he ?
3. How, much would I have to pay for a 5-cent ball, a 2-cent
top, and a 1-cent kite ?
4. Frank gave 3 cherries to Mary, 3 to Fred, and had 3 for
himself. How many had he at first?
6 ARITHMETIC.
6. There are 3 pictures on one wall, 2 on another, 1 on
another, and 2 on another. How many pictures are there on
the four walls ?
6. A girl pays 4 cents for a slate, 3 cents for a blank book,
and 2 cents for a lead pencil. How much does she pay for all
of them ?
7. There are 3 books on the first shelf, 3 on the second shelf,
and 3 on the third shelf. How many are there on the three
shelves?
8. A boy reads 2 pages on Monday, 2 on Tuesday, 2 on
Wednesday, and 2 on Thursday. How many pages does he read
in four days ?
9. There are 3 birds on one branch, 2 on another, 1 on
another, 2 on another. How many birds are on the four
branches ?
10. William is 5 years old, James is 2 years older than
William, Sarah is 2 years older than James. How old is Sarah ?
11. Sight Ezercises.
In adding th&<^e and aubseqaent examples, the papils shoald use as few
words as posaihle. In the first example, six — eight is said ; tliree — six, in
the second; five — nine, in the third; etc.
Add:
2 3
4
5
2
4
1
4
1
4 2
2
1
2
1
2
5
2
2 1
3
2
o
4
3
3
4
1 8
9
2
1
3
4
7
6
7
3
5
3
1
1
2
1 1
2
2
3
1
1
1 2
3
1
3
5
3
3 3
4
5
•
4
6
2
4
2 4
2
4
2
ADDITION.
7
2
1
4
2
4
5
4
3
2
2
2
2
1
1
2
3
3
4
2
4
1
6
2
2
1
2
3
1
3
1
1
8
2
1
1
3
4
2
1
7
9
3
5
3
1
2
1
1
2
2
3
1
2
1
1
1
3
3
5
12. Slate Exercises.
Add:
1.
22
2.
43
3.
17
4.
6
5.
35
6.
11
12
5
20
21
21
55
5
20
41
30
12
22.
7.
10
8.
35
9.
1
10.
95
11.
64
12.
27
14
4
3
2
5
10
15
50
34
1
30
61
13.
35
14.
33
16.
1
16.
13
17.
52
18.
17
13
33
16
42
4
60
41
'
33
50
34
12
1
19.
15
20.
47
21.
22
22.
13
23.
15
24.
43
4
20
22
23
3
32
20
10
22
33
60
11
25.
50
26.
4
27.
41
28.
53
29.
25
30.
65
31
60
42
2
10
31
7
5
3
4
3
2
31.
12
32.
23
33.
16
34.
32
35.
4
36.
12
12
23
3
32
12
3
12
23
20
32
60
62
12
30
40
2
1
'i.
a
ARITHMETIC.
37.
40
38.
64
39.
25
40. 50
41.
50
42.
72
4
2
10
25
m
30
4
5
3
2
• 10
5
2
20
10
1
2
3
1
43.
21
44.
30
45.
35
46. 1
47.
13
48.
47
21
30
13
16
40
20
21
30
41
50
34
10
21
5
10
2
1
2
49.
20
50.
22
51.
13
52. 41
53.
14
54.
21
20
22
4
12
2
32
20
22
20
13
60
43
20
22
2
20
12
2
56.
14
56.
17
57.
44
58. 30
59.
1
60.
27
3
20
11
3
3
30
1
1
22
6
14
11
81
50
1
40
61
1
13. Original Problems.
Make problems containing tbe following numbers :
2 3 4 5 2
4 2 2 12
2 13 2 2
Thus : a duck has 2 feet, a cat has 4 feet, a hen has 2 feet. How many
feet have they ?
My father gave me 2 cents, my mother gave me 4 cents, uncle John
gave me 2 cent«. How many cents had I then ?
14. Slate Problems.
1. How much will I have to pay for a pound of 50-cent tea,
a pound of 25-cent coffee, a pound of raisins at 10 cents, and a
8-cent orange?
SUBTRACTION. 9
2. There are 30 boys in the first class, 42 in the second class,
and 24 in the third class. How many are there in the three
classes ?
3. 22 girls had the right answer, and 17 had wrong ones.
How many girls were in the class ?
4. Martha has a 25-cent piece, a 10-cent piece, and a 2-cent
piece. How much money has she ?
5. I bought a piece of muslin for 24 cents, some ribbon for
20 cents, and a spool of thread for 5 cents. How much did I
pay?
6. There are 24 cherries on one branch, 20 on another, and
40 on another. How many are there on the three branches ?
7. A hunter shot at a flock of blackbirds. He killed 16, and
10 flew away. How many were there in the flock ?
8. There are 25 ducks in one pond, and 24 in another pond.
How many are there in both ?
9. Mrs. Jones bought a doll for Mary for 40 cents, and one
for Sarah for 40 cents. How much did she pay for the dolls ?
10. A boy paid 20 cents for fire-crackers, 10 cents for torpe-
does, 5 cents for pin-wheels, 4 cents for sky-rockets. How much
money did he spend?
SUBTRACTION,
IS. Oral Problems.
1. A boy spent 9 cents for a blank book and a slate. The
blank book cost 5 cents. How much did he pay for the slate ?
2. Mary wishes to buy a 5-cent doll. She has 3 cents already.
How many more cents does she need ?
3. Sarah is 6 years old. In how many years will she be 8?
4. Thomas took out 6 marbles. He brought back 8. How
many did he buy ?
6. What number must we add to 4 to make *IX
10 ARITHMETIC.
16. Oral Ezeroises.
8 and what are 9 ? 3 and what are 5 ?
6 and what are 8? 7 and what are 7?
7 and what are 9 ? 2 and what are 4 ?
5 and what are 6 ? 1 and what are 4 1
9 and what are 9 ? 7 and what are 8 ?
5 and what are 7 ? 3 and what are 3 ?
2 and what are 5 ? 3 and what are 6 ?
6 and what are 9 ? 8 and what are 8 ?
and what are 2 ? 4 and what are 7 ?
1 and what are 9 ? and what are 8 ?
5 and what are 5 ? 4 and what are 6 ?
4 an4 what are 4 ? 2 and what are 6 ?
5 and what are 9 ? 4 and what are 8 ?
1 and what are 6 ? and what are 9 ?
1 and what are 8 ? 3 and what are 7 ?
and what are 6 ? 4 and what are 5 ?
5 and what are 5 ? 2 and what are 7 ?
3 and what are 4 ? 2 and what are 9 ?
3 and what are 3 ? 1 and what are 5 ?
4 and what are 9 ? 4 and what are 4 ?
17. Give the missing numbers :
2
6
1
5
1
I
2
?
?
I
?
?
8
6
7
7
2
8
1
?
?
?
?
?
?
?
8
6
1_
6
1^
2
8
7
2
9
3
2
1
18. Oral ProUemB.
1. A girl has 6 cents. She spends 2 cents. How many 0(
has she left ?
SUBTRACTION.
11
2. There were 5 pears on a plate. Some children ate 3.
How many were on the plate then ?
3. John had 8 marbles. How many had he after losing 4
marbles ?
4. Harry is 6 years old. Mary is 2 years younger. How old
is Mary ?
5. A boy had 6 tops. He has 3 now. How many did he
lose?
19.
Sight
Exercises.
■
Subtract :
9
8
We see tliat 8 and 1
are 9.
5
3
3 and 2
are 6.
1
The answer is
1.
2
The answer is 2.
8
7
9
4
6
4
9
8
7
3
6
7
7
2
5
1
9
7
5
5
6
9
8
1
7
9
8
5
6
2
3
6
8
4
1
5
4
4
6
9
8
6
9
8
7
6
4
2
5
4
1
1.
3
5
5
7
4
9
3
5
9
4
8
4
2
3
2
3
1
4
2
6
7
7
8
1
2
3
8
7
9
6
1
5
1
2
3
6
3
20. Original Problems.
Make problems in subtraction containing the following num-
bers:
Thus : there were 9 birds on a tree. 3 flew away. How many wert
left? A boy had 7 cents. He spent 4. How many cents had he then?
9 7 8 6 4
8 4 .^ 2 1
12 ARITHMETIC.
2L Slate Exercises.
A boy has 25 cents. He pays 15 cents for a ball. How much
will he have then ?
25^ Write the larger number above the Bmaller, the unitja' figures in
1 ^^ a line. Begin at the units' column, and find the number which
TT^A must be added to 6 to make 5. Say 5 and (writing the 0) are 5.
1 and 1 (writing 1) are 2. The answer is 10 cents.
In adding aloud, the word and should not be used. In subtracting, it
indicates that the number said after and is to be written.
22. Subtract:
1. 64
2.
87
3.
55
4.
•28
5.
57
6.
46
52
76
15
6
16
5
7. 79
8.
19
9.
35
10.
36
11.
94
12.
62
18
11
24
22
24
10
13. 70
14.
29
15.
18
16.
59
17.
66
18.
16
30
18
5
36
33
6
19. 88
20.
75
21.
69
22.
87
23.
99
24.
54
44
32
16
27
98
10
25. 35
26.
63
27.
59
28.
38
29.
96
30.
81
4
34
15
22
30
31. 17
32.
93
33.
85
34.
62
35.
38
36.
69
2
1
41
31
3
23
37. 88
38.
48
39.
75
40.
37
41.
29
42.
25
43
24
50
3
5
10
43. 64
44.
87
45.
28
46.
67
47.
55
48.
46
32
46
5
36
«
25
15
49. 79
60.
98
51.
49
52.
66
53.
98
54.
45
27
14
11
22
24
n
ADDITION AND SUBTRACTION. 13
55. 62 56. 76 57. 29 58. 18 59. 59 60. 88
40 30 28 15 34 40
61. From 38 cows take 12 pows.
62. From 84 apples take 40 apples.
63. From 76 roses take 31 roses.
64. From 62 cents take 10 cents.
65. From 93 horses take 23 horses.
ADDITION AND SUBTRACTION
23. Slate Problems.
66. A boy has 55 cents in his bank ; his uncle gives him 10
cents more. How much money has he then?
67. James goes to the store with 75 cents; he buys 60 cents'
worth of groceries. How much change does he bring home ?
68. There are 32 boys in a class and 20 girls. How many
more boys than girls are in the class?
69. There are 32 boys in a class and 20 girls. How many
pupils are there in the class ?
70. I did 60 problems last week ; 40 were right. How many
were wrong ?
71. Sarah had 26 cherries ; she ate 6. How many had she
left?
72. There are 40 apples on one tree and 20 on another. How
many apples are there on both trees?
73. Thomas wishes to buy a ball for 50 cents ; he has saved
30 cents already. How many more cents does he need ?
74. How much would a boy have to pay for a 25-cent ball
and a 10-cent bat ?
75. Ann buys a pound of 40-cent tea for her mother, and gets
10 cents change. How much money did aVi^ gi^o^ ^^ ^ci^^x'\
14 ARITHMETIC.
24. Sight
Ezeioises.
Add:
9 8
2
7
5
3
8
7
9
1 2
9
3
5
9
3
5
2
4 1
4
3
9
5
4
9
6
8 9
7
8
3
G
9
4
6
6 3
2
5
5
8
6
8
9
4 7
8
7
8
5
7
4
5
25. The sign of addition is +.
2 + 3 = 5 is read, 2 plus 3 equals 5 ; or, 2 and 3 are 5.
26. Give answers :
•
•
7 + 6
9 + 8
9 + 4
6 + 5
7 + 8
9 + 5
8 + 9
8 + 8
6 + 5
9 + 6
5 + 9
9 + 9
9 + 7
7 + 7
4 + 6
8 +
6 + 9
6 + 8
8 + 6
+ 9
7 + 9
8 + 7
7 + 9
3 + 8
27. Oral Problems.
1. Susan has 9 splints in one hand and 3 in the other. How
many splints has she in both hands?
2. A boy buys a ball for 10 cents, and a bat for 5 cents.
How much does he give for both ?
3. There are 7 girls sitting in the first row, and 6 girls in the
second row. How many are there in the two rows?
4. Samuel has 8 cents. How much will he have if his aunt
gives him 5 cents?
6. A man pays $10 for a coat, $3 for a vest, and $2 for a hat.
How much does he pay for all of them ?
ADDITION AND SUBTRACTION. 15
ADDITION.
28. Add 28 and 7. — Write the numbers as before ; add 7 and 8 ; £8
the total is 15. Under the first column write the 5, adding the 1 , i^
— I — I
to the 2 tens in the second column, making the total 3 tens. The -p^
answer is 35.
29. The answer in addition is called the sum,
30. Slate Exercises.
Find 1
Bums:
1. 16
2.
28
3.
39
4. 43
5.
65
6.
57
4
17
46
37
29
16
7. 78
8.
84
9.
23
10. 13
11.
23
12.
45
15
9
68
77
57
54
13. 36
14.
17
1
15.
58
16. 5
17.
23
18.
16
25
82
15
18
•
35
54
19. 27
20.
64
21.
14
22. 25
23.
33
24.
16
72
16
28
65
47
79
25. 24
26.
5
27.
16
28. 23
29.
20
30.
64
24
23
5
64
15
32
24
64
25
5
8
3
31. 45
32.
8
33.
60
34. 54
35.
15
36.
32
33
27
9
33
75
33
6
4
6
7
•
8
34
37. 27
38.
7
39.
15
40. 17
41.
27
42.
57
26
5
8
19
7
14
25
14
42
3
21
2
43. 35
44.
16
45.
13
46. 64
47.
7
48.
84
23
8
46
3
22
7
14
20
15
5
8
3
16 ARITHMETIC.
49. 15 + 34-12 + 36 54. 11 + 9 + 33 + 20
50. 20 + 30 + 6 + 29 56. 64 + 25 + 10
61. 84 + 6 + 6 56. 50 + 20 + 10
52. 24 + 24 + 24 + 24 57. 36 + 52 + 1
53. 18 + 14 + 12 58. 75 + 24
31. The sign of subtraction is •— .
5 — 3 = 2 is read, 5 minus 3 equals 2 ; or, 5 less 3, equals 2.
32. Find answers :
59. 35 60. 64 61. 27 62. 36 63. 36 64. 49
-20 -14 -21 -15 +15 +25
«5. 49
66. 75
67. 60
68. 60
69. 75
70. 46
25
+ 20
-60
-40
-50
+ 53
71. 36
72. 38
73. 64
74. 84
75. 15
76. 26
-25
+ 27
+ 32
42
- 4
+ 26
77. 25
78. 37
79. 48
80. 48
81. 72
82. 63
5
+ 18
38
+ 33
+ 18
-30
33. Sight Exercises.
Give missing numbers :
1. 2 + ?=9 5. 3+? = ll 9. ?-2 = 7
2. 8-4 = ? 6. 8 + 7 = ? 10. 8-? = 5
3. ?-5 = 4 7. 9-6=? 11. 9 + 3 = ?
4. ?-7 = 2 8. ? + 5 = 12 12. ?-8 = 2
ADDITION AND SUBTRACTION. 17
34. Original Problems.
Make problems containing tbe following numbers :
1. 15 2. 9 3. 12 4. 6 6. 15
+ 3 -4 +7 -3 + 1
6. 8 7. 8 8. 9 9. 9 10. 8
+ 5 -4 -4 +5 -5
35. Oral Problems.
1. William has 8 jackstones, and Mary has 5 jackstones.
How many jackstones have both?
2. A grocer has 8 barrels of flour. How many will he have
if he sells 4 barrels ?
3. A boy has saved 9 cents. If he spends 4 cents for a blank
book, how much money will he have ?
4. What will be the cost of a 9-cent copy book and a 5-cent
bottle of ink ?
6. A maij buys a coat for $8. He pays $5 in bills, and the
remainder in silver. How much does he pay in silver ?
36. The sign $ stands for " dollars,'' and is written before the
number,
37. Slate Problems.
1. What will be the cost of a horse and a wagon if $75
the horse costs $ 75, and the wagon $20 ? + $20
N.B. — Write the proper sign in each case.
2. There are 24 hours in one day. How many hours 24 h.
are there in two days ? + 24 A.
18 ARITHMETIC.
3. We have 60 minutes for reading and spelling. If 60 m.
we take 40 minutes for reading, how much time is left ~ ^Q ^•
for spelling?
4. A woman pays 75 cents for tea and coffee. She 75^
pays 50 cents for the tea. How much does the coffee — 50 ^
cost ?
6. What is the sum of 56 and 34?
6. A farmer had 37 cows. After he had sold 27 of them,
how many did he have ?
7. There are 45 trees in an orchard ; 25 are apple trees, the
rest are peach trees. How many peach trees are there ?
8. There are 25 apple trees in an orchard, and 20 peach
trees. How many trees are there in the orchard ?
9. William had 26 cherries ; he gave 13 to Mabel, and the
remainder to Julia. How many did he give to Julia?
10. There are 50 yards in a piece of ribbon. How many yards
are left after 20 yards are used ?
NOTATION AND NUMERATION.
38. The numbers from 1 to 9 are written with one figure.
How many figures do we use in writing the numbers from 10
to 99?
Ninety-nine and one make one hundred, written 100.
Two hundred is written 200 ; three hundred, 300.
39. Write in figures :
1. Four hundred. 4. Seven hundred.
2. Five hundred. 5. Eight hundred.
3. Six hundred. 6. Nine hundred.
40. Count from one hundred one to one hundred nine. One
hundred one is written 101. In writing hundreds^ we always
use three figures.
NOTATION AND NUMERATION.
19
41. Write in figures :
1. One hundred two.
2. One hundred three.
3. One hundred four.
4. One hundred five.
42. Read the following :
6. One hundred six.
6. One hundred seven.
7. One hundred eight.
8. One hundred nine.
1. 110
120
130
140
150
2. 160
170
180
190
200
3. 300
400
500
600
700
4. 800
900
111
112
113
5. 201
302
403
504
605
6. 706
807
908
121
232
7. 343
454
565
676
787
8. 898
909
123
334
345
9. 456
567
678
789
890
43. Write in figures :
1. Two hundred three.
2. Six hundred ninety-six.
3. Three hundred one.
4. Eighty-four.
6. Seven hundred nineteen.
7. Five hundred sixteen.
8. One hundred thirty-four.
9. Six hundred nine.
10. Nineteen.
5. Four hundred forty.
11. Seven hundred seventy-seven.
12. Eight hundred seventy-six.
13. Eight hundred five. 15. Nine hundred.
14. Five hundred ninety-tiine. 16. Seventy-five.
20 ARITHMETIC.
17. Sixteen. 23. Nine hundred eighteen.
18. Seven hundred. 24. Six hundred forty-three.
19. Sixty-eight. 25. Two hundred sixty-one.
20. Seven hundred twenty. 26. Four hundred fifty-seven.
21. Six hundred eight. 27. Three hundred eighty- two.
22. Seven hundred three. 28. Nine hundred nine.
44. 1. Write the number that is one less than a hundred.
2. Write the. number that is one more than a hundred.
3. Write the number that is one less than two hundred.
4. Write the number that is one more than three hundred fifty.
6. Write the number that is one less than four hundred twenty.
46. In the number 382, 2 is called the tmita' figure^ 8 is called
the tens* figure^ 3 is called the hundreds' figure.
46. Slate Exercises.
Add:
1. 127
2. 306
3.
288
4.
612
6. 3
243
75
45
196
33
85
4
602
34
333
6. 219
7. 126
8.
175
9.
909
10. 449
62
250
184
44
81
105
484
600
30
314
11. 838
12. 331
13.
38
14.
244
15. 52
123
528
452
42
36
30
86
38
98
35
ADDITION. 21
16. 191 17. 864 18. 499 19. 733 20. 169
117 36 32 94 162
40 25 16 106 208
6 50 200 25 40
21.
208
22.
875
28.
129
24.
43
26. 9
198
104
421
56
17
30
7
48
58
130
3
11
60
620
91
26.
629
27.
97
28.
487
29.
141
30. 635
80
406
110
155
298
3
95
25
203
13
55
201
3
237
43
31.
105
32.
162
33.
310
34.
133
36. 429
610
214
375
233
52
51
245
29
33
160
23
104
2
133
41
6
51
40
233
5
36.
523
37.
870
38.
732
39.
521
40. 80
62
15
116
108
107
7
8
80
63
35
51
45
7
250
312
5
21
64
6
25
41.
707
42.
209
43.
123
44.
50
46. 300
82
186
234
49
50
148
17
45
51
25
1
310
6
638
106
50
3
580
11
84
22 ARITHMETIC.
46. 34 47. 210 48. 250 49. 1 50. 512
605 35 300 22 33
21 406 45 333 240
83 21 3 44 16
112 3 27 555 108
31 74 101 20 30
47. Subtract:
1. 876
2. 978
3. 350
4. 391
5. 457
234
468
220
280
230
6. 844
7. 316
8. 999
9. 969
10. 898
23
5
213
959
886
11. 583
12. 499
13. 605
14. 858
15. 667
102
479
300
836
43
16. 577
17. 555
18. 734
19. 986
20. 843
543
550
600
886
603
21. 694 22. 667 23. 162 24. 952 25. 790
42 310 50 301 740
26. 875
27. 649
28. 790
29. 665
30. 838
875
304
500
664
111
31. 598
32. 928
33. 548
34. 928
35. 564
508
807
510
18
304
ADDITION AND SUBTRACTION. 23
36. 839
37. 997
38.
864
39. 799
40.
935
600
95
41
25
630
41. 805
42. 889
43.
678
44. 858
45.
936
104
615
667
45
706
46. 477
47. 428
48.
893
49. 855
50.
618
253
308
230
5
308
48. Find
sums:
51. 33 + 33 + 33 + 33
52. 22 + 22 + 22 + 22 + 22
53. 86 + 23 + 2
54. 100 + 50 + 25 + 25
55. 216 + 115
56. 34 + 26 + 101 + 5
57. 45 + 54 + 3+16
58. 89 + 25 + 103
59. 75 + 50 + 25
60. 100 + 50 + 25 + 10 + 5 + 3 + 2 + 1
49. Find answers:
61. 395-123 66. 169 — 136
62. 684-453 67. 599-286
63. 978-563 68. 783-250
64. 254- 24 69. 408-303
65. 857- 57 70. 250 — \^^
'jH
ARITHMETIC.
so. Sight
KxmdMiu
Give answers :
10-9
10-1
11-2
11-9
10-5
12-3
11 8
12 9
14-7
10 2
10-8
11-3
12 6
13-9
15 6
16 8
13-8
11 4
10-3
13 5
13 4
15-9
14 5
11-5
10-4
10-6
12-8
11 6
12 7
15-7
12-5
10-7
12-4
11-7
14 8
13 7
16 9
13 6
14-9
15-8
16-7
17-8
18-9
17-9
14-6
Drill upon the foregoing frequently and regularly, bat not too long at a
time.
5L QnJ Froblenu.
1. There are 10 birds on a tree. How many will there be
if 5 more come ?
2. If there are 11 boys belonging to a class, and 9 are pres-
ent, how many are absent ?
3. Lucy is 12 years old. How old will she be in 3 years ?
4. Matthew is 11 years old. How old was he 4 years ago?
5. Patrick has 9 cents in his bank. How many more cents
must he put into the bank to have 15 cents in it ?
6. Andrew has two pockets in his jacket. He has 8 marbles
in each. How many marbles has he ?
7- A girl lives 12 houses from the school. After she passes
8 houses, how many more must she pass ?
8. At a game of ball there are 9 boys on each side. How
many boys are playing ?
SUBTRAC3TI0N. 25
9. Sarah has 15 cents. If she spends 8 cents for worsted,
how much money will she have ?
10. A man bnys two suits of clothes for his boy ; he gives
9 dollars for each suit. How many dollars does he spend ?
52. Original FiobitmB.
Give answers. Make problems.
10 + 5 11- 9 12 + 3
8 + 8 2 + 13 9-6
12 + 6 9+ 8 10 + 7
11-8 10- 7 12-9
53. Sight Exercises.
Give missing numbers :
4-?= 1 6 + ? = lJ 3+? = 12 ?-7 = 2
? + 5 = 12 12-?= 4 14-9= ? 10-? = 5
?-9 = 5 8 + 5 + ? = 17
12-4
15-9
13-6
14-8
16 + 1
14 + 3
9 + 9
12 + 6
54; Slate lixeroises.
Find missing numbers :
1. 29 2. 37
3. 17
4. 86
5. 75
e. 90
+ ? +?
+ ?
+ ?
+?
+ ?
41 50
25
90
100
loO
8UBTBAGTI0N.
55. From 41 take 29.
Writing the larger number above the smaller, we see that the 41
units' number 9 of the latter is greater than the other units' number 1. 29
In this case we say 9 and 2, writing the 2, are 11. Add 1 to 2, —
making it 3. We then say 3 and 1 are 4, writing the 1. 12
26 ARITHMETIC.
56. From 506 take 274.
506
— 274 4 and 2 are 6, 7 and 3 are 10, (1 + 2) 3 and 2 are 5.
232
57* The answer in subtraction is called the difference, or
remainder.
58. Slate ExerdsoB.
Subtract :
1. 60
2. 71
3.
34
4.
58
5. 91
59
68
27
38
79
6. 26
7. 57
8.
48
9.
65
10. 19
18
49
8
15
8
11. 72
12. 92
13.
84
14.
51
15. 63
54
46
42
25
31
16. 72
17. 71
18.
62
19.
60
20. 41
36
3
59
1
40
21. 34
22. 58
23.
91
24.
26
26. 57
_7
20
12
8
8
26. 84
27. 65
28.
19
29.
72
30. 51
76
50
11
18
26
31. 63
32. 62
33.
71
34.
60
36. 41
22
3
66
57
1
36. 34
37. 73
38.
25
39.
94
40. 65
17
28
18
47
26
41. 100
42. 110
43.
200
44.
300
45. 100
10
20
11
80
-J
ADDITION AND SUBTRACTION. 27
46.
400
47. 500
48.
500
49. 500
60. 600
4
150
50
5
300
51.
25
62. 24
53.
32
54. 74
65. 50
6
17
16
18
25
66.
31
57. 64
58.
81
59. 90
60. 46
19
48
79
89
27
59. Find answers :
-
61.
94
62. 48
63.
67
64. 49
65. 18
m
-46
+ 46
-18
+ 18
+ 49
66.
73
67. 47
68.
26
69. 75
70. 100
-26
+ 26
+ 47
+ 25
-25
71.
423
72. 576
73.
375
74. 576
75. 375
—
-201
360
+ 423
77. 214
78.
-123
-25
79. 551
+ 5
76.
321
80. 75
-5
-7
-17
+ 85
+ 252
81.
864 + 99
91. 87-1
57
82.
63 + 307 + 7 + 30
92. 120-
■90
83.
259 + 23 + 104 + 171 + 2
93. 220-
■190
84.
867-
-352
94. 320-
•190
86.
932-
-729
1
95. 143-
134
86.
543-
-540
96. 134+9
87.
360-
-245
97. 267-
■258
88.
27 + 105+316 + 591
98. 258 + 9
89.
17 + 383 + 25 + 2
99. 267-
•9
90.
96-
86
100. 100-
■97
28 ARITHMETIC.
60. Slate FrobkmB.
101. A man pays $75 for a sofa and $15 for a chair. How
much does he pay for both ?
102. A boy has 75 pictures ; he gives away 15. How many
has he then ?
103. Find the difference between 25 and 50.
104. A newsboy pays 24 cents for newspapers ; he sells them
for 40 cents. What is his profit ?
105. Two girls have 50 cents between them; one has 15
cents. How many cents has the other ?
106. A farmer bought a cow and a pig. The pig cost $15.
He paid $35 more for the cow than he did for the pig. What
did he pay for the cow ?
107. A pig and a cow cost $65; the pig cost $15. How
many dollars did the cow cost ?
108. Find the sum of 27 cherries and 46 cherries.
109. A boy sold newspapers for 40 cents ; he made 16 cents.
What did he pay for the papers ?
110. A girl bought a doll for 28 cents ; she received 22 cents
change. How much did she give the storekeeper ?
61. Drills.
1. Add by twos :
0, 2, 4, 6, 8, etc., to 40 ;
1, 3, 5, 7, 9, etc., to 39.
2. Add by threes :
0, 3, 6, 9, 12, etc., to 39;
1, 4, 7, 10, 13, etc., to 40;
2, 5, 8, 11, 14, etc., to 38.
DRILLS. 29
3. Add by fours :
0, 4, 8, etc., to 40; 1, 5, 9, etc., to 37;
2, 6, 10, etc., to, 38; 3, 7, 11, etc., to 39.
4. Add by fives :
0, 5, 10, etc., to 40; 1, 6, 11, etc., to 36;
2, 7, 12, etc., to 37; 3, 8, 13, etc., to 38;
4, 9, 14, etc., to 39.
5- Add by sixes:
0, 6, etc., to 36 ; 1, 7, etc.. to 37; 2, 8, etc., to 38;
3, 9, etc., to 39 ; 4, 10, etc., to 40 ; 5, 11, etc., to 35.
6. Add by sevens :
0, 7, 14, etc., to 35 ; 1, 8, 15, etc., to 36 ;
2, 9, 16, etc., to 37; 3, 10, 17, etc., to 38;
4, 11, etc., to 39; 5, 12, etc., to 40; 6, 13, etc., to 34.
7. Add by eights :
0, 8, etc., to 40 ; 1, 9, etc., to 33 ; 2, 10, etc., to 34 ;
3, 11, etc., to 35 ; 4, 12, etc., to 36 ; 5, 13, etc., to 37 ;
6, 14, 22, etc., to 38 ; 7, 15, 23, etc., to 39.
8- Add by nines :
0, 9, etc., to 36 ; 1, 10, etc., to 37 ; 2, 11, etc., to 38 ;
3, 12, etc., to 39 ; 4, 18, etc., to 40 ; 5, 14. etc., to 32 ;
6, 15, etc., to 33; 7, 16, etc., to Z^\ ^,Y\y^\s:..^\s^'^.
3U
ARITHMETIC.
62. Sight
Exeidses.
Give sums
•
•
11 + 9
17 + 6
24 + 7
29 + 5
15 + 8
26 + 8
29 + 9
16 + 6
21 + 9
18 + 7
19 + 5
19 + 4
28 + 8
27 + 5
12 + 8
26 + 6
15 + 5
18 + 6
19 + 3
26 + 7
19 + 9
22 + 9
26 + 5
16 + 9
23 + 8
14 + 6
19 + 6
16 + 7
13 + 7
28 + 9
27 + 9
14 + 9
22 + 8
19 + 8
23 + 7
22 + 8
16 + 5
18 + 9
23 + 9
17 + 9
17 + 7
23 + 9
28 + 5
16 + 8
29 + 4
24 + 6
18 + 5
12 + 9
28 + 4
24 + 9
19 + 7
25 + 9
26 + 5
15 + 9
18 + 4
24 + 8
14 + 8
17 + 5
28+7
29 +'8
13 + 9
26 + 6
25 + 8
17 + 8
15+7
29 + 7
18 + 8
17 + 4
28 + 6
29 + 3
15 + 6
24 + 6
29 + 6
13 + 8
14 + 7
27 + 8
26 + 9
14 + 7
25 + 6
•27 + 7
3 4
5 6
5 6
8
4 5
3 4
5 6
3 5
4 5
2 3
3 4
5 6
4 5
5. 8
3 6
8
4 5
2 7
7 5
7 7
7 9
3 5
3 6
5 8
9 7
4 6
7 8
4 5
4 2
3 1
SUBTRACTION'. 31
63. Slate Exercises.
Subtract :
1. 986. 2. 863 3. 952 4. 824 6. 713
407 446 335 617 405
6.
930
617
11.
906
860
16.
753
362
21.
666
77
26.
934
576
31.
500
101
36.
400
2
41.
876
678
7.
584
435
12.
735
595
17.
484
193
22.
423
59
27.
934
467
32.
487
•
366
37.
378
89
42.
904
1
873
47.
456
228
8.
653
639
13.
268
74,
18.
580
290
23.
384
96
28.
204
197
33.
900
890
38.
600
250
43.
275
196
48.
987
789
45. 243
99
46. 304 47. 456 48. 987 49. 300 50. 864
152 228 789 277 860
9.
724
18
14.
837
40
19.
603
593
24.
275
176
29.
321
123
34.
777
88
39.
301
299
44.
811
790
49.
300
277
10. 683
64
15. 978
881
20.
275
81
25.
803
794
30.
600
321
35.
365
190
40.
484
242
6'ji
ARITHMETIC.
64. Add:
51. 389
62.
654
63.
486
54.
289
66.
123
75
179
78
289
456
467
98
256
289
78
66. 248
67.
123
68.
98
69.
309
60.
798
407
234
567
98
60
65
534
43
470
9
199
56
21
66
54
61. 150
62.
333
63.
666
64.
123
66.
257
607
333
66
45
432
23
33
60
678
48
65
33
6
9
109
116
3
6
10
92
66. 369
67.
543
68.
283
69.
394
70.
539
72
324
79
247
40
407
99
164
283
298
80
6
450
65
67
24
27
9
6
5
71. 271
72.
613
73.
355
74.
7
76.
93
408
84
40
24
404
63
106
86
435
37
150
53
209
60
252
29
70
132
3
60
5
4
43
86
7
76. 345
77.
296
78.
648
79.
639
80.
733
96
584
275
25
49
479
78
59
287
88
ADDITION AND SUBTRACTION. 33
81. 324
82. 649
83.
568
84.
473
85.
209
77
107
37
65
28
468
84
77
65
593
46
99
166
/
358
84
86. 728
87. 186
88.
627
89.
99
90.
821
93
176
72
199
69
43
166
67
299
85
119
156
26
402
19
91. 348
92. 47
93.
639
94.
541
96.
283
296
368
82
87
323
84
38
207
48
82
63
396
64
286
23
105
50
55
33
8
96. 246
97. 598
98.
308
99.
247
100.
47
85
35
349
89
428
399
164
97
476
390
178
108
66
58
75
3
95
39
83
9
101. 278
102. 135
103.
70
104.
166
106.
95
63
79
309
166
50
54
246
88
166
95
459
80
246
166
163
46
399
87
■
166
88
65. Find remainders :
106. 906
107. 450
108.
, 363
109.
292
110.
888
167
97
187
146
99
111. 789
112. 864
113.
, 748
114.
789
116.
975
236
579
654
327
WV
34
lie. 898 117. 837
283 586
ARITHMETIC.
118. 879
119. 688
120. 629
783
377
584
121. 606 122. 7"50 123. 300 124. 274 125. 666
17 509 11 187 88
66. Oral Problems.
1. A boy caught 22 crabs before dinner and 9 after dinner.
How many did he catch in all ?
2. There are 31 apples on a tree. How many will there be
after 28 are picked off?
3. William has paid 5 cents for a ball and has 26 cents left.
How much money had he at first?
4. A newsboy sold 28 morning papers and 7 evening papers.
How many did he sell in all ?
5. A man owes a bill of 15 dollars. How much will he owe
after paying 6 dollars ?
6. How much will I have to pay for a reader at 18 cents, a
slate at 6 cents, and a copy'book at 8 cents?
7. There are 24 pages in a primer. John has read 15 pages.
How many has he yet to read ?
8. A girl has two 10-cent pieces and two 5-ccrit pieces. How
much money has she ?
9. There are 11 roses on one bush, 7 on another, and 8 on
another: How many are there on the three bushes ?
10. If I spend 5 cents for figs, 5 cents for dates, 5 cents for
candy, 5 cents for cakes, and 5 cents for a ball, how much do I
spend in all ?
67. Slate Problems.
1. A farmer pays 65 dollars for a cart and 15 dollars for a
plow. How many dollars does he pay for both ?
ADDITION AND SUBTRACTION. 35
2. How much more does the cart cost than the plow?
3. There are 17 boys in the first row, 19 in the second, 13 in
the third, and 16 in the fourth. How many boys are there in
the four rows?
4. A man earns 90, dollars a month ; he spends 73 dollars.
How many dollars does he save?
5. Jane has 27 cents left after spending 23 cents for a
reader. How much money had she at first ?
6. A scholar added two numbers, and his answer was 60.
If one number was 35, what was the other number ?
7. A grocer bought sugar for 50 dollars, and tea for 30 dol-
lars. How many dollars did he pay for both ?
8. When Mary saves 25 cents more, she will have 70 cents.
How much money has she now ?
9. 60 boys are working an example ; 43 have the correct
answer. How many are wrong?
10. A farmer raised 84 bushels of wheat. How many bushels
will he have after selling 56 bushels?
CHAPTER II.
MULTIPLIOATIOH AHD DIVISIOH.— UlflTED STATES MONEY.
— PINT, QUART, AHD ff ALLOIT. — FEAOTIONAL PAET8.
— EOMAH NOTATION.
MULTIPLICATION BY 2.
6& Oral Exercises.
How much would 2 three-cent oranges cost?
If 1 orange cost 3 cents, 2 oranges would cost 2 times 3 cents, or 6 cents.
69. What should you pay for 2 postal cards ? 2 two-cent
stamps ? 2 three-cent tops ? 2 pints of milk at 4 cents a pint ?
2 five-cent base-balls ? 2 pounds of sugar at 6 cents a pound ?
2 seven-cent dolls ? 2 quarts of milk at 8 cents a quart ? 2 yards
of muslin at 9 cents a yard ?
What are two I's ? Two 2's? TwoS's? Two4's? Two 5's?
Two6's? Two7's? TwoS's? Two9's?
70. The sign of multiplication is X.
3 X 2=6 is read, 3 multiplied by 2 equals 6 ; or, 2 times 3 are 6.
71. Sight Exercises.
Give answers :
3x2 4x2 6x2 7x2 9x2
10x2 1x2 5x2 2x2 8x2
36
MULTIPLICATION. 37
72. Slate Exercises.
What would be paid for 2 first readers at 13 cents each ?
We could find the cost by adding 13 and 13, but the better way ISf
is to do such problems by multiplication. X 2
Placing the 2 under the 13, we say, 2 times 3 are 6, 2 times 1
are 2. The answer is 26 cents. * 26^
73. The answer in multiplication is called the producti
74. Find products :
1. 10 2. 11 3. 12 4. 14 5. 20 6. 21
2 2 2 2 2 2
7. 22 8. 23 9. 24 10. 30 11. 31 12. 32
2 2 2 2 2 2
13. 33 14. 34 15. 40 16. 41 17. 42 18. 43
2 2 2 2 2 2
19. 44 20. 100 21. 101 22. 102 23. 103 24. 104
2 2 2 2 2 2
25. 110 26. Ill 27. 112 28. 113 29. 114 30. 123
2 2 2 2 2 2
31. 124 32. 200 33. 201 34. 203 35. 204 36. 210
2 2 2 2 2 2
87. 221 38. 232 39. 50 40. 344 41. 423 42. 304
2 2 2 2 2 *L
38 ARITHMETIC.
43. 430 44. 242 45. 434 46. 440 47. 324 48. 300
2 2 2 2 2 2
49. 400 50. 404 51. 60 62. 51 53. 52 54. 68
2 2 2 2 2 2
55. 54 56. 63 57. 64 58. 72 59. 83 60. 94
2 2 2 2 2 2
DIVISION BY 2.
75. Oral Exercises.
If I pay 6 cents for 2 oranges, what is the price of 1 orange?
If 2 oranges cost 6 cents, 1 orange will cost as many cents as there are
2's in 6, or 3 cents.
76. What is the price of a postal card, if 2 postal cards cost
2 cents? Of one postage stamp, if 2 stamps cost 4 cents? Of
1 top, if 2 tops cost 6 cents? Of 1 pint of milk, if 2 pints
cost 8 cents? Of 1 base-ball, if 2 balls cost 10 cents? Of
1 pound of sugar, if 2 pounds cost 12 cents? Of 1 doll, if 2 dolls
cost 14 cents? Of 1 quart of milk, if 2 quarts cost 16 cents?
Of 1 yard of muslin, if 2 yards cost 18 cents?
How many 2's are there in 2 ? In 4 ? In 6 ? In 8 ? In 10 ?
In 12? In 14? In 16? In 18?
77. The sign of division is -?-.
6 -^ 2 = 3 is read, 6 divided by 2 equals 3.
78. Sight Exercises.
Give answers :
6-h2 8-h2
12-^2
14 : 2
20-J-2 10-h2
2 : 2
16 : 2
18-i-2
4-5-2
SHORT DIVISION. 39
- 79. Slate Exercises.
How much will 1 first reader cost, if 2 readers cost 26 cents?
Write 26 ; at the left of it place 2. Separate by a curved line.
2 )26 Draw a line underneath. 2 is contained in 2 once. Write 1 under
i'6^ the 2. 2 is contained in 6 three times. Write 3 under the 6. The
answer is 13 cents.
80. l^he answer in division is called the quotient.
81. Find quotients:
1. 2)20 2. 2^22 3. 2)24 4. 2)^ 5. 2)40
6. 2)A2 7. 2)44 8. 2)46 9. 2)48 10. 2)60
11. 2)62 12. 2)64 13. 2)66 14. 2)68 15. 2)80
16. 2)82 17. 2)84 18. 2)86 19. 2)88 20. 2 )200
21. 2 )202 22. 2 )204 23. 2 )206 24. 2 )208 25. 2 )220
25. 2 )222 27. 2)224 28. 2 )226 29. 2 )246 30. ^ )248
31. 2 )400 32. 2)402 33. 2 )406 34. 2 )408 35. 2 )420
36. 2 )442 37. 2)464 38. 2 )688 39. 2 )846 40. 2 )608
41. 2 )860 42. 2)484 43. 2 )868 44. 2 )880 45. 2 )648
46. 2)600 47. 2 )800 48. 2 )808 49. 2 )100 50. 2)102
51. 2)104 52. 2)106 53. 2)108 54. 2)122 55. 2)J_26
66. 2 )128 57. 2)144 58. 2 )166 59. ^^m_ ^^. ^'V^^^
40 ARITHMETIC.
82. Sight Exercises.
Give missing numbers :
1.8 + 2 = ? 5. 5x? = 10 9. ?x2 = 6
2.8 — 2 = ? 6. 8-^? = 4 10. ?-5-2 = 5
3.8x2 = ? 7. 3 + ? = ll 11. 6x? = 12
4.8^2 = ? 8. 9-? = 6 12. ?X2 = 8
13. 11 14. ? 15. ? 16. 16
+ ? -5 X2 +6
17
8
18
?
17. 26
18. 11
19. 13
20. 10
+ 5
X2
-?
X?
? ? 4 20
21. 22? 22. ?}10 23. 4}8
4 6 ?
83. Oral Problems.
1. A girl pays 20 cents for a reader, 10 cents for a blank
book, and 5 cents for a slate. How much does she spend ?
2. A man buys a coat for $9 and sells it for $13. What is
his profit?
3. At 4 cents a pint, what will a quart of milk cost?
Note. Have the pupils learn by experiment that there are 2 pints in
a quart.
4. If I can buy 2 marbles for 1 cent, how much will I pay
for 6 marbles?
5. What will be the cost of two 11-cent bars of soap?
6. Two boys are talking about their ages. The 13-year-old
boy says he is 4 years older than the other. How old is the
other ?
EEVIEW. 41
7. What will be the 'cost of a pint of syrup, if a quart costs
16 cents?
8. John has 6 marbles, and his brother has 4. How many
will John have to give his brother so that both may have the
same number?
9. If there are 12 things in a dozen, how many are there in
half a dozen ?
10. Mary buys a doll for 19 cents and has 6 cents left. How
much money did she have at first ?
Note. Answers to oral problems should be written on slates or paper,
by all pupils, at a given signal.
84. Slate Problems.
1. A boy pays 40 cents for a drum and 2 cents for a kite.
How many cents does he pay for both ?
2. Mr. Jones has $40 in bank. After taking out $2, how
much money has he in bank ?
3. How much did Mrs. Smith pay for 2 dolls that cost 40
cents each ?
4. I paid $40 for 2 cows. How many dollars did each cost ?
6. A man pays 40 cents for a pound of tea, and sells it for
55 cents. What is his profit ?
6. A person uses 60 pints of milk in a month. How many
quarts does he use ?
7. John has 40 cherries ; he gives one-half of them to James.
How many cherries does he give James ?
8. There are 45 roses on one bush, and 35 on another. How
many are there on both ?
9. What will I pay for 2 pounds of butter at 32 cents a
pound?
10. What will be the cost of half a pound of GO-ci^iiX. Xje^'l
42
AKITHMETIC.
11. A boy bad 66 fire-crackers ; be gave one-tbird of tbem
to bis cousin. How many did be give to bis cousin ?
12. How mucb will I bave to pay for 4 straw bats at 22 cent.s
eacb?
13. How many wings bave 21 geese ?
14. If tbere are 50 torpedoes in a pack, bow many are tbere
in i pack ?
NOTATION AND NUMERATION
85. Tbe largest number we can write witb tbree figures is
999. Tbe next number is one tbousand, written 1,000.
Two tbousand, 2,000.
Four tbousand, 4,000.
Six tbousand, 6,000.
Eigbt tbousand, 8,000.
Tbree tbousand. 3,000.
Five tbousand, 5,000.
Seven tbousand, 7,000.
Nine tbousand, 9,000.
One tbousand one is written 1,001.
86. Write in figures :
1. One tbousand two.
2. Two tbousand tbree.
3. Tbree tbousand four.
4. Four tbousand five.
5. Five tbousand six.
6. Six tbousand eigbt.
7. Seven tbousand nine.
8. Eigbt tbousand ten.
87. Bead tbe following :
1. 1,020. 6. 1,100. 11. 1,000.
2. 1,030. 7. 2,300. 12. 1,001.
3. 2,040. 8. 9,900. 13. 1,010.
4. 3,045. 9. 6,700. 14. 1,100.
6. 4,050. 10. 8,600. 16. 1,101.
16. 1,110.
17. 1,111.
19. 3,333.
20. 4.444.
21. 5,555.
22. 6,666.
23. 7,777.
24. 8,888.
26. 9,999.
NOTATION AND NUMERATION. 43
8& Write in figures :
1. Three thousand four hundred fifty-six.
2. Seven thousand eighty-four.
3. Six hundred nine.
4. Two thousand fourteen.
5. One thousand ninety-nine.
6. Nine thousand five hundred forty-three.
7. Sixty-seven.
8. Four hundred 'eighty.
9. Five thousand seven.
10. Two hundred nineteen.
11. Eight thousand eighty-eight.
12. One thousand eight hundred ninety-two.
13. Four thousand seven hundredo
14. Three thousand six hundred sixty-three,
15. Six thousand sixty.
16. Nine thousand eight hundred seventy-six.
17. Three hundred eleven.
18. Seven thousand nine hundred nine.
19. Six thousand five hundred forty-three.
20. Two thousand one hundred two.
89. Read the following :
1. 1,365 10. 1,054 19. 75 28. 2,673 37. 508
2. 2,950 11. 254 20. 4,536 29. 6,758 38. 3,141
3. 437 12. 4,400 21. 4,347 30. 9,058 39. 7,001
4. 2,965 13. 154 22. 7,720 31. 154 40. 5,191
5. 234 14. 9,000 23. 6,525 32. 1,567 41. 3,008
6. 3,386 15. 3,108 24. 627 33. 1,864 42. 84
7. 6,676 16. 988 25. 6,182 34. 309 43. 600
8. 9,875 17. 1,030 26. 2,004 35. 1,892 44. 1,023
9. 4,370 18. 7,005 27. 9,760 36. l,8»0^ ^X.. ^.$i^
44 ABITHMEnC.
90l 77ie righirhand figure is called the motif figure, the next
is called the tBOtf figure, the next is called the hnndieds' figure,
the next is called the tbanwuids' figure.
91. A comma is generally placed between the thouBandB* figure and the
handreds' figure.
9!2. Note. To secure aocoracy and rapidity abstract examples in addi-
tion and in subtraction should be worked each day.
93. Befiew. Slate Ezenasea.
Find sams :
1. 1,406 + 789 + 3,008 + 57 + 259 + 80
2. 954 + 2,309 + 16 + 756 + 64+1,891 + 5
3. 2,345 + 123 + 67 + 8 + 90 + 321 + 5.432
4. 87 + 6 + 430 + 29 + 7.856 + 379
5. 473 + 25 + 389 + 4,500 + 98+1,267 + 18
91. Find remainders :
6. 8,763-6,549 11, 7,654-987
7. 2,345-568 12- 4,004-2,345
8. 3,800-968 13. 3,000-2,875
9. 5,806-1,467 14. 6,000-27
10. 9,000 — 8,999 15. 4,386-2,998
95. Find products :
16. 144x2 21. 2,304x2
17. 1,234x2 22. 4,321x2
18. 613x2 23. 723x2
19. 304x2 24. 800x2
20. 4,031x2 25. 514x2
MULTIPLICATION AND DIVISION. 45
96. Find quotients :
26. 288^2 31. 8,624-^2
27. 4,608-^2 32. 1,600-5-2
28. 2,468^2 33. 1,028-2
29. 608^2 34. 1,226-^2
30. 8,062^2 35. 1,446-^-2
97. Find products :
1. 12 2. 13 3. 14 4. 15 5. 16 6. 17
2 2 2 2 2 2
98. Find answers :
7. 24-f-2 11. 34^2 15. 52-J-2
8. 26-5-2 12. 38-^2 16. 27x2
9. 28^2 13. 25x2 17. 28x2
10. 30^2 14. 50^2 18. 58-^2
99. Find products :
19. 34 20. 35 21. 36 22. 38 23. 39 24. 45
2 2 2 2 2 2
25. 47 26. 54 27. 55 28. 63 29. 66 30. 75
2 2 2 2 2 2
100. Find quotients :
31. 2}68 32. 2)70 33. 2)72 34. 2)76
35. 2)78 36. 2)90 37. 2)94 38. 2)108
39. 2)110 40. 2)126 41. 2 )132 4^. ^^jV^^
46
>
ARITHMETIC.
43. 210 -J- 2
47.
206x?
44. 105x2
48.
612-2
45. 116x2
49.
308x2
46. 252 : 2
50.
816 : 2
102. Find products :
51. 150 62. 155 53. 166 54. 177 55. 188
20009
aJ .J *J Zil
56. 199 57. 256 58. 367 59. 478 60. 579
9 9 O 09
*j >j *j *j ^
61. 680 62. 709 63. 888 64. 999 65. 1,025
00009
^J ta mU ^ ^
103. Find quotients :
71. 300^2 75. 376^
72. 310 -f- 2 76. 398^
73. 332-^-2 77. 512 -^
74. 354 -T- 2 78. 734^
87. 6,150 -^
66. 2,150 67. 3,075 68. 3,568 69. 4,537 70. 4,896
00 o 09
*j *j *j .J Zi
o
•J
o
2
2
2
79. 956 -J- 2 83. 1,776^2
80. 1,158-^2 84. 1,998-7-2
81. 1,360^2 85. 2,050 -=-2
82. 1,418^2 86. 4,300-3-2
88. 9,792 -J- 2
104: Drill Exercises.
Multiply :
1.
6.
3
2.
1
3.
3
4.
2
5.
3
1
3
2
3
_3
4
7.
2
8.
5
9.
10
10.
20
2
4
2
3
3
MULTIPLICATION. 47
11.
30
3
12.
11
3
13.
12
3
14.
13
3
15.
21
3
16.
22
3
17.
23
3
18.
31
3
19.
32
3
20.
33
3
21.
101
3
22.
102
3
23.
103
3
24.
111
3
25.
112
3
26.
113
3
27.
120
- 3
28.
121
3
29.
122
3
30.
123
3
31.
200
3
32.
201
3
33.
202
3
34.
203
3
35.
210
3
36.
212
3
37.
213
3
38.
220
3
39.
221
3
40.
222
3
41.
223
3
42.
130
3
43.
131
3
44.
132
3
45.
331
3
46.
^230
3
47.
231
3
48.
233
3
49.
321
3
50.
333
3
51.
1,231
3
52.
57.
2,312
3
53.
58.
10
4
22
4
54.
59.
20
4
100
4
55.
60.
11
4
66.
21
4
12
4
101
4
61.
102
4
62.
200
4
63.
201
4
64.
202
4
65.
111
4
66.
112
4
67.
210
4
68.
211
4
69.
212
4
70.
221
4
48 ARITHMETIC.
76.
81.
222
72.
1,202
73.
2,101
74.
20
76.
20
4
77.
4
78.
4
79.
5
21
80.
6
20
20
20
21
7
8
9
5
6
21
82.
21
83.
21
84.
100
86.
101
7
8
9
5
6
200
87.
201
88.
101
89.
201
90.
200
7
8
9
5
6
91. 201 92. 211 93. Ill 94. 1,101 95. 1,100
7 8 9 5 6
96. 1,110 97. 1,111 98. 1,101 99. 1,001 100. 1,000
7 8 9 9 8
105. Divide:
101. 3-^3 114. 66 -T- 3 127. 84 -i- 4 140. 147-^7
102. 6h-3 115. 96 H- 3 128. 48 -r- 4 141. 160 -f- 8
103. 9 4- 3 116. 69-^3 129. 40 -h 4 142. 180-^9
104. 4^4 117. 99 -H 3 130. 80 -i- 4 143. 189 -h 9
105. 8-^4 118. 303-4-3 131. 400 -f- 4 144. 1,212 -f- 6
106. 30-^3 119. 309-^3 132. 484-4-4 145. 1,477-7-7
107. 60-7-3 120. 336-5-3 133. 884 -r- 4 146. 1,680-4-8
108. 90-^-3 121. 369^3 134. 50 -s- 5 147. 1,890-^9
109. 33 -f- 3 122. 963-4-3 135. 100-4-5 148. 1,005-5-5
110. 36 H- 3 123. 639-^3 136. 105^5 149. 1,050^5
111. 39 -f- 3 124. 390-^3 137. 60-^6 150. 1,010-^6
112. 63-4-3 125. 3,693-4-3 138. 120-*- 6 151. 1,616-4-8
113. 93^3 126. 44-5-4 139. 126-4-6 152. 1,818 h- 9
REVIEW. 49
106. Oral Problems.
1. A boy had an apple, and he ate one-quarter of it. How
much had he left ?
2. If one-half pound of raisins costs 8 cents, what is the price
of a pound ?
3. William had 8 marbles and lost one-fourth of them. How
many did he lose ?
4. A confectioner sold 4 boxes of candy. How many pounds
did he sell if each box held a quarter of a pound ?
5. How much does a half-pound of candy cost, if a quarter-
pound costs 5 cents ?
6. How much must be paid for 9 pounds of meal at 2 cents
a pound ?
7. If oil is 8 cents a gallon, how many gallons can I buy for
16 cents ?
8. I paid 7 cents for one cake, and 7 cents for another, and
7 cents for another. How much did I pay for three cakes ?
9. How many feet have 10 ducks ?
10. A watch costs 75 dollars, and the chain costs 5 dollars.
What is the cost of both ?
107. Slate Problems.
1. If there are 11 trees in one row, how many trees are there
in 9 rows ?
2. When flour is 4 cents a pound, how many pounds can I
buy for 44 cents ?
3. A man earns 22 dollars a week. How much does he earn
in 3 weeks ?
4. How many oranges in 4 dozen ?
6. A grocer had 90 eggs. How many would he have after
selling a dozen ?
50 ARITHMETIC.
6. If tea is worth 30 cents a half-pound, how much is a
pound worth ?
7. There are 48 boys in the second class ; one-quarter of
them have a wrong answer to a problem. How many have a
wrong answer ?
8. Mary has 21 postage stamps. Julia has four times as
many. How many has Julia?
9. A newsboy sold papers for 75 cents and gained 19 cents.
How much did the papers cost?
10. How many- feet have 20 cows ?
MULTIPLICATION BY Z.
108. Oral Exercises.
What is the cost of 3 postal cards? 3 two-cent stamps?
3 three-cent tops? 3 pints of milk at four cents a pint? 3 five-
cent base-balls? 3 pounds of sugar at six cents a pound?
3 seven-cent dolls ? 3 quarts of milk at eight cents a quart ?
3 yards of muslin at nine cents a yard?
109. Sight Exercises.
Give answers :
3x4
4x2
7x0
6x2
2x8
8x3
2x9
6X3
0x9
3x6
5x1
9x2
0x3
3X5
1x0
2x7
3x1
2x2
2x4
1x9
3x8
2x5
6x0
4x3
1x1
0x5
2x6
1x8
0x7
8x1
8X2
5x3
■ 7x3
3x9
1x6
4x0
2x1
1X2
0x8
9x0
3x3
0x1
3x2
0x2
1x5
7x2
1x7
9x3
1x4
5x2
8x0
0x6
2x0
5x0
3x0
4x1
2x3
7x1
6x1
1x3
0x0
9x1
0x4
3x7
DRILLS.
61
1X0. Accuracy and rapidity in subsequent work are largely dependent
upon the thoroughness of drill in the addition, subtraction, multiplication,
and division combinations in the lower grades. To avoid the labor of writ-
ing on the board combinations similar to the foregoing, several devices are
resorted to.
111. Drills.
Drill upon the following, changing, from time to time, the
numbers in the inmost; circles :
112. Change, from time to time, the figure in the second line :
5
+ 6
6
+ 5
7
+ 4
8
+ 3
9
+ 2
15 25 35 45 55 65
(Add 7, 8, 9.)
16 26 36 46 56 66
(Add 6, 7, 8, 9.)
17 27 37 47 57 67
(Add 5, 6, 7, 8, 9.)
18 28 38 48 58 • 68
(Add 4, 5, 6, 7, 8, 9.)
19 29 39 49 59 69
(Add 3, 4, 5, 6, 7, 8, 9.)
75 85
76
86
77 87
78 88
79
89
113. Note. Insist upon rapidity in answers. Have short daily drills
if possible.
52 ABITHMETIC.
U4. Wonertor Fahlic Schods. — Knininiticn QmrtMns.
1. How many cents are ihere in a dime? In a half-dime?
In a quarter of a dollar?
2. Count by 2'8 to 10.
3. Ella has 4 cherries. If she gives half of them to Harry,
how many will he have ?
4. On my bushes there are 5 red roses, 4 pink roses, and 3
white roses. How many roses are there in all ?
5. Whatis^ofG? ioflO? Jof8? ^ofQ?
6. What are the figures for VI, EX, VII, 11, X?
7. If 1 banana cost 2 cents, what will 5 bananas cost?
8. If an apple cost 2 cents, how many apples can you buy
for 8 cents?
9. Frank went to the store with a dime. He bought a five-
cent ball and 2 cents' worth of candy. How much change did
he receive?
10. 4 4 1
+ 5 +2 +7
rf-3 +4 -5
X2 -^5 +4
-4 xl -6
11. Alice earns 2 cents every day, except Sunday, for a week.
She puts 10 cents of it into her bank, and spends the rest. How
much does she spend ?
12. How many pints are there in 3 quarts?
13. Mary has a dime, a two-cent piece, and 3 pennies. How
much money has she ?
14. How much more is 4 H- 3 — 2 than 2 + 8 — 6?
15. How many inches are there in a foot? How many feet
in a yard ? How many inches in a yard?
MULTIPLICATION. 53
\. Drills.
The following is a drill in multiplying and adding :
+ 1
12 3 4 5 6 7 8 9
X2
Write the numbers from 1 to 9 on the board. Underneath, place a mul-
tiplier ; above, place a number to be added to the product of the multiplier
and a number in the second line.
Placing the pointer at 6, the pupil says 12; 13. At 9, he says 18, 19.
Change the multiplier to 3.
When the teacher points to 5, the pupil says 15, 16. When she points
to 8, the pupil says 24, 25.
Change the adding figure to 2.
Pointing to 6, the reply is 18, 20 ; to 7, it is 21, 23 ; etc.
In multiplying by 3, the adding figure cannot be greater than 2. In
multiplying by 4, the adding figure will be 1, 2, or 3.
Note. This drill must be rapid to be eflfective.
116. Slate Exerdses.
Multiply :
1. 63
3
2.
84
3
3.
168
3
«
4.
126
3
6.
87
3
6. 96
3
7.
1,057
3
8.
368
3
9.
1,369
3
10.
2,090
•3
11. 324
3
12.
543
3
13.
568
3
14.
230
3
16.
621
2
16. 345
3
17.
' 232
4
18.
517
3
19.
803
2
20.
182
3
21. 246
3
22.
331
4
23.
320
4
24.
157
3
25.
628
64 ARITHMETIC.
26. 341 27. 4,271 28. 2,415 29. 1,230 30. 1,223
3 2 3 4 4
31. 2,627 32. 2,514 33. 2,332 34. 1,203 35. 4.583
3 3 4 4 2
36. 1,333 37. 1,201 38. 1,012 39. 1,230 40. 1,572
4 5.6 7 3
41. 1,210 42. 1,203 43, 2,233 44. 3,261 45. 1,986
8 4 4 3 3
46. 1,387 47. 2,203 48. 2,898 49. 1,837 50. 3,586
3 4 8 3 2
61. 2,879 62. 2,887 63. 1,023 54. 2,428 66. 2,937
3 3 9 3 3
66. 2,459 67. 4,287 58. 1,606 69. 1,682 60. 2,915
3 2 3 3 3
DIVISION BY Z,
117. Slate Exercises.
Divide the following numbers by 2 ; by 3.
61. 144 67. 408 73. 312 79. 324 86. 4,116
62. 432 68. 372 74. 216 80. 156 86. 5,328
63. 300 69. 192 75. 336 81. 384 87. 3,012
64. 228 70. 348 76. 288 82. 420 88. 1,764
65. 276 71. 396 77. 204 83. 1,188 89. 7,776
66. 264 72. 168 78. 180 84. 8,904 90. 6,552
REVIEW. 55
118. Slate Exeroises. — Beyiew.
Find sums :
91. 4,632 + 936 + 788 + 39 + 888 + 6 + 25 + 999.
92. 2,004 + 678 + 69 + 384 + 90+1,508 + 77.
93. 5 + 38 + 957 + 1,836 + 2,793 + 858 + 99 + 4.
94. 287 + 1,085 + 329 + 5,908 + 672 + 84 + 93.
95. 64 + 317 + 290 + 4,926 + 3,007 + 215.
119. Find differences :
Note. The smaller number (the subtrahend) must be taken from the
larger number (the minuend).
96. 9,000 and 8,743. ' 101. 8,888 and 9,200.
97. 7,327 and 9,004. 102. 1,711 and 1,682.
98. 6,326 and 5,749. 103. 333 and 1,212.
99. 3,520 and 2,780. 104. 27 and 2,700.
100. 383 and 500. 105. 4,837 and 2,958.
120. Oral FroblemB.
1. There are 3 rows of desks in the school-room, and 9 desks
in each row. How many desks are there in the room ?
2. If there are 16 ounces in a pound, how many ounces are
there in half a pound ?
3. A storekeeper sold 15 hats Monday, 9 on Tuesday, 7
Wednesday, 10 Thursday. How many did he sell in four days!'
4. A woman has 18 yards of silk. She uses 5 yards. How
many yards has she left ?
5. At 3 for a cent, how many marbles can be bought for 6
cents?
56 ARITHMETIC.
6. What will be the cost of a pint of maple symp if a quart
is worth 22 cents ?
7. There are 4 quarts in a gallon. How many pints are
there in a gallon ?
8. How many feet have 12 ducks?
9. If a 12-cent pie is divided into 3 equal pieces, what is
each piece worth ?
10. John is 9 years old, and Mary is 16. What is the differ-
ence between their ages ?
12L Slate Problems.
1. Mary weighs 36 pounds, and Sarah weighs 55 pounds.
How much do both weigh ?
2. What is the difference between their weights?
3. A confectioner sells ice-cream for 80 cents a half gallon.
What is the price of a quart ?
4. At 3 for a cent, what will be the cost of 48 marbles ?
5. How much must I pay for 4 sheep that cost $ 13 each ?
6. I buy 27 cents* worth of groceries, and give the store-
keeper a 50-cent piece. How much change should I receive ?
7. What will be the cost of a pound of 60-cent tea and 25
cents' worth of eggs ?
8. A bag of flour contains 49 pounds. How many pounds
of flour are there in 2 bags ?
9. If meal costs 2 cents a pound, how many pounds can I
buy for 50 cents ?
10. If you divide 54 marbles equally among 3 boys, how
many will each receive ?
MULTIPLICATION AND DIVISION. 57
122. Slate Exeioises.
Multiply :
1. 123
2. 213
3. 312
4.
321
5. 132
5
6
7
8
9
6. 231
7. 103
8. 102
9.
203
10. 302
5
6
7
8
9
11. Ill
12. 222
13. 333
14.
122
IS. 133
5
6
7
8
9
16. 233
17. 322
18. 332
19.
223
20. 232
5
6
7
8
9
123. Divide —
By 5:
21. 660
22. 1,510
23. 1,665
24. 1,160
26. 1,115
By 6:
26. 732 27. 1,218 28. 1,926 29. 1,872 30. 612
By 7:
31. 2,331 32. 2,324 33. 2,254 34. 1,554 35. 721
By 8:
36. 1,704 37. 984 38. 1,848 39. 888 40. 1,864
By 9:
41. 1,188 42. 1,827 43, 2,997 44. 2,898 45. 2,097
MULTIPLICATION BY ^.
124. Oral Exercises.
What will 4 pints of milk cost at 4 cents a pint ? 4 five-cent
base-balls ? 4 pounds of sugar at 6 cents a pound ? 4 seven-cent
dolls ? 4 quarts of milk at 8 cents a quart ? 4 yards of muslin
at 9 cents a yard?
58 ARITHMETIC.
125. Sight Exercises.
Give answers :
■
4x9 4x6
4X8
4x7
4x5
2x9 2x8
2x7
2x6
2x5
3x5 3x6
3x7
3x8
3xt)
5x4 6x4
7x4
8X4
9x4
126. Slate Exercises.
Multiply :
1. 873 2. 456
3. 659
4. 175
6. 999
4 4
4
4
2
6. 754 7. 234 8. 123 9. 304 10. 432
3 9 8 7 6
11. 324 12. 1,369 13. 2,468 14. 1,876 16. 1,775
5 4-4^ 4 4
16. 1,989 17. 1,563 18. 1,670 19. 1,078 20. 1,123
4 4 4 4 5
21. 2,084 22. 2,167 23. 2,299 24. 2,308 26. 1,323
4 4 4 4 6
26. 2,359 27. 2,287 28. 2,389 29. 2,167 30. 1,023
4 4 4 4 9
31. 2,579 32. 4,987 33. 3,065 34. 1,888 36. 1,203
3 2 3 4 6
36. 3,287 37. 1,340 38. 1,044 39. 1,243 40. 342
3 6 8 7
MULTIPLICATION AND DIVISION. 59
41. 4,676 42. 2,985 43. 1,670 44. 2,058 46. 2,305
2 3 4 4 4
46. 333 47. 444 48. 222 49. 333 50. 444
6 8 7 6 5
DIVISION BY 4:,
127. Slate Exercises.
61. 1,876 69. 9,864 67. 1,732 76. 9,024 83. 1,992
62. 2,392 60. 8,512 68. 2,592 76. 8,352 84. 2,764
63. 3,572 61. 7,836 69. 3,176 77. 7,164 86. 3,408
64. 4,580 621 6,788 70. 4,232 78. 6,380 86. 4,248
66. 8,368 63. 5,696 71. 5,916 79. 5,024 87. 5,760
56. 5,660 64. 4,372 72. 6,972 80. 4,928 88. 6,928
57. 7,704 66. 3,504 73. 7,324 81. 3,716 89. 7,004
58. 9,980 66. 2,768 74. 8,948 82. 2,056 90. 8,312
y
128. Seview.
Divide by 2 :
91. 9,876 92. 8,954 93. 7,368 94. 6,598 96. 5,760
By 3:
96. 3,897 97. 8,766 98. 7,353 99. 6,201 100. 5,706
By 4:
101. 5,488 102. 6,372 103. 8,680 104. 9,508 106. 7,716
By 5:
106. 2,150 107. 2,020 108. 7,205 109. 6,170 110. 6,710
By 6:
111. 8,466 112. 8,652 113. 7,218 114. 7,872 116. 8,418
60 ARITHMETIC. ^
By 7:
116. 9,114 117. 8,428 118. 7,168 119. 9,338 120. 9,170
By 8:
121. 9,920 122. 8,824 123. 9,792 124. 9,632 125. 3,544
By 9:
126. 2,736 127. 3,618 128. 2,826 129. 9,306 130. 9,936
129. Add:
131. 3,478 + 384 + 965 + 29 + 450 + 1,873 + 685.
132. 5,883 + 938 + 652 + 36 + 507 + 1,003 + 279.
133. 2,476 + 1,259 + 2,647 + 309 + 875 + 33 + 8.
134. 3,487 + 844 + 2,036 + 392 + 87 + 64 + 386.
136. 589 + 847 + 1,634 + 2.801 + 689 + 2,256.
136. 1,799 + 896 + 327 + 683 + 2,549 + 1,286.
137. 632 + 583 + 238 + 289 + 1,586 + 37 + 9.
138. 3,237 + 654 + 538 + 283 + 1,439 + 256.
139. 1,438 + 567 + 36 + 9 + 57 + 486 + 4,008.
140. 2,376 + 462 + 756 + 49 + 385 + 427+ 2,603.
130. Find differences between :
141. 9,000 and 8,790. 146. 4.350 and 2,670.
142. 6,034 and 8,043. 147. 5,432 and 6,021.
143. 8,006 and 7,999. 148. 8,493 and 8,530.
144. 3,264 and 5,310. 149. 2,777 and 9,843.
145. 6,543 and 9,001. 150. 7,654 and 6,789.
REVIEW. 61
131. Oral FroblemB,
1. How many balls are there in 4 Roman candles, each, con-
taining 8 balls ?
2. There are 27 boys in the first division and 10 in the
second division. How many are there in both ?
3. A boy works 9 examples a day. How many does he work
in 4 days ?
4. What will be paid for one-fourth of a yard of ribbon at
40 cents a yard ?
6. A man walks 28 miles in 7 hours. How many miles does
he walk in 1 hour?
6. What will be the cost of 8 yards of cloth at $4 per yard?
7. A boy found 4 marbles and then had 32. How many
had he at first ?
8. John paid 86 cents for a book and 4 cents for a slate.
How many cents did he pay for both ?
9. Mary had 18 jackstones. How many had she after giving
3 to Jane ?
10. Harry is 8 years old. In how many years will he be 12?
132. Slate Problems.
1. If 4 marbles are sold for 1 cent, how much will 8 marbles
cost ? How much will 88 cost ?
2. A boy bought 3 readers. He paid 15 cents for one, 16
cents for another, 17 cents for the third. How many cents did
he pay for the three?
3. What will 3 readers cost at 16 cents each ?
4. There are 24 hours in a day. How many hours are there
in 4 days ?
5. A boy paid 80 cents for 4 pounds of candy. How much
did it cost a pound ?
62 ARITHMETIC.
6. A farmer has 96* cows in 3 stables, the same number in
each. How many are there in each stable?
7. How much will I have to pay for 2 suits of clothes at
$35 each?
8. There were 90 sheep in a flock ; 14 of them died. How
many were there in the flock then ?
9. How many pounds of butter are there in 2 tubs, each
containing 48 pounds?
10. Two boys weigh together 90 pounds. One of them weighs
35 pounds. How much does the other weigh ?
MULTIPLICATION BY 5.
133. Oral Exercises.
What is the cost of 5 five-cent base-balls? Of 5 pounds o^
sugar at six cents a pound ? Of 5 seven-cent dolls ? 5 quarts of
milk at eight cents a quart ? 5 yards of muslin at nine cents a
yard?
134. Slate Exercises.
Multiply by 5 :
1. 27
13.
287
26.
1,263
37.
1,596
49.
1,740
2. 36
14.
309
26.
1,315
38.
1,582
50.
1,763
3. 44
15.
456
27.
1,338
39.
1,539
51.
1,820
4. 50
16.
578
28.
1,367
40.
1,566
52.
1,808
5. 63
17.
699
29.
1,395
41.
1,698
53.
1,895
6. 72
18.
783
30.
1,384
42.
1,605
54.
1,886
7. 85
19.
859
31.
1,467
43.
1,627
55.
1,830
8. 96
20.
938
32.
1,479
44.
1,635
56.
1,999
9. 105
21.
1,057
33.
1,408
45.
1,672
57.
1,904
10. 126
22.
1,163
34.
1,460
46.
1,776
58.
1,960
11. 148
23.
1,285
35.
1,483
47.
1,709
59.
1,974
12. 169
24.
1,208
36.
1,507
48.
1,785
60.
1,953
MULTIPLICATION AND DIVISION. 63
Multiply by 2 :
61. 4,875 62. 3,876 63. 2,594 64. 3,687 66. 4,908
By 3: '
66. 3,209 67. 3,165 68. 3,097 69. 2,986 70. 2,895
By 4:
71. 2,409 72. 2,386 73. 2,095 74. 1,983 75. 1,878
By 5:
76. 1,954 77. 1,837 78. 1,789 79. 1,605 80. 1,588
By 6:
81. 1,504 82. 1,423 83. 1,305 84. 1,250 85. 1,354
By 7:
86. 1,405 87. 1,425 88. 1,054 89. 1,235 90. 1,043
By 8:
91. 1,205 92. 1,125 93. 1,053 94. 1,235 96. 1,143
By 9:
96. 1,054 .97. 1,032 98. 1,044 99. 1,105 100. 1,025
DIVISION BY b.
135. Slate Exercises.
Divide by
5:
101.
600
111.
1,360
121.
2,485
131.
5,385
141.
9,120
102.
650
112.
1,475
122.
2,590
132.
5,715
142.
9,215
103.
700
113.
1,510
123.
2,600
133.
6,205
143.
9,360
104.
750
114.
1,635
124.
2,730
134.
6,790
144.
9,425
105.
875
115.
1,770
125.
2,855
135.
7,325
145.
9,580
106.
905
116.
1,820
126.
2,905
136.
7,780
146.
9,675
107.
920
117.
1,945
127.
3,060
137.
8,750
147.
9,780
108.
1,090
118.
2,010
128.
3,585
138.
8,765
148.
9,895
109.
1,120
119.
2,265
129.
4,070
139.
8,910
149.
9,905
110.
1,215
120.
2,350
130.
4,290
140.
9,015
150.
9,995
64 ARITHMETIC.
By 2:
151. 9,818 152. 8,980 153. 7,756 154. 6,196 165. 8,016
By 3:
166. 8,919 157. 9,504 158. 8,766 159. 9,153 160. 7,695
By 4:
161. 9,516 162. 8,724 163. 6,432 164. 8,756 165. 9,792
By 5:
166. 6,535 167. 5,250 168. 4,875 169. 6,390 170. 7,205
By 6:
171. 8,124 172. 7,500 173. 7,830 174. 8,538 175. 9,024
By 7:
176. 9,835 177. 9,975 178. 7,378 179. 8,645 180. 7,301
By 8:
181. 9,000 182. 8,424 183. 9,880 184. 9,144 185. 9,640
By 9:
186. 9,225 187. 9,945 188. 9,396 189. 9,288 190. 9,486
136. TTnited States Money.
In writing dollars and cents, the dollar sign, $, is written
first, followed by the number of dollars; then comes a period
(decimal point) and the number of cents.
Three dollars and fifty cents is written $ 3.50
Eighteen dollars and sixty-seven cents $ 18.67
Twenty-four dollars $ 24.00
Six dollars and eight cents $6.08
Twenty-five cents $.25
Three cents $.03
Twenty-five cents may also be written 25^ ; three cents may
be written 3^.
The abbreviations ct and cts. are sometimes used ; thus, 1 ct.,
9 cts.
REVIEW. 66
137. Slate Exercises.
Add:
191. $13.57 192. $20.68 193. $3.69 194. $.48 195. $.17
8.69 12.56 41.36 2.15 .28
.8180 9.99 3.40 .67 3.49
2.15 33 .55 10.65 3.85 16.55
30.70 25 6.37 9.87 42.30 4.70
9.58 6 26.58 .63 6.85 23.69
.39 .25 .50 18.46 .58
Note. In adding long columns, the total of each column may be placed
alongside, as in example 191. Such totals are sometimes useful to verify
results.
138. Find differences between :
196. $84.00 and $73.17. 201. $21.52 and $.76.
197. $23.16 and $70.00. 202. $63.24 and $5.48.
198. $ 69.50 and $ 90.40. 203. $2.79 and $27.90.
199. $ 45.75 and $ 39.69. 204. $ .16 and $ 16.00.
200. $24.00 and $8.63. 205. $8.38 and $91.11.
139. Oral Problems.
1. There are 5 rows of trees, 9 trees in each row. How many
trees are there in all ?
2. How many ounces of candy are there in 8 boxes, each
containing 4 ounces ?
3. There are 50 pages in a book. Sarah has read all but 5
pages. How many pages has she read ?
4. Mr. Smith is 40 years old ; his wife is 5 years younger.
How old is Mrs. Smith ?
5. William is 8 years old ; his brother Stephen is 16 years
older. How old is Stephen ?
66 ARITHMETIC.
6. A woman paid 48 cents for 4 pounds of cheese. How
much did one pound cost ?
7. There are 45 gallons of oil in a harrel. How many
gallons will there be in it after 10 are sold ?
8. A girl wrote 50 words. She spelled 5 incorrectly. How
many did she spell correctly ?
9. How much will a dozen five-cent oranges cost ?
10. A train goes a mile in 2 minutes. How many miles will
it go in 26 minutes ?
140. Slate ProUems.
1. There are 5 houses in a row, and each house has 16
windows. How many windows are there in all ?
2. A man buys a cow for $90. How many $5 bills will he
have to give to pay for the cow ?
3. Harry has 18 five-cent pieces in his bank. How much
money has he ?
4. If a girl went to school 21 days each month for 4 months,
how many days would she attend school ?
5. 90 boys belong to a certain school; 15 are absent. How
many are present?
6. At 2. for a cent, how much will 48 peaches cost?
7. Henry, Jane, and Thomas had 25 marbles each. How
many marbles did the three children have ?
8. A man divided 60 cherries equally among 4 boys. How
many did each receive ?
9. If we spell 15 minutes a day, how many minutes will we
spell in a week of 5 days ?
10. A woman bought a $5 shawl, and gave the store-keeper
a $ 100 bill. How much change did she receive ?
MULTIPLICATION AND DIVISION. 67
FRACTIONAL PARTS.
141. Preliminary Exercises.
What is one-half of 2 ? Of 4 ? Of 8 ? Of 18 ? Of 20 ?
Of 24?
142. One-half is written \,
143. Slate Exercises.
1. ^of 36 = ? 8. \oi 50 = ?
2. \oi 72 = ? 4. \oi 100 = ?
5. If a dollar contains 100 cents, how many cents are there in
one-fourth of a dollar ?
144. One-fourth is written \. One-third, \. One-fifth, \.
6. What is i of 80? Find ^ of 60.
145. Oral Exercises.
What is i of 3? Of 6? Of 12? Of 18? Of 21? Of 27?
Of 30? Of 36?
Find \ of 4. Of 8. Of 16. Of 24. Of 28. Of 36.
Of 40. Of 48.
What is ^ of 10? • i of 18? i of 33?
146. Slate Exercises.
Find \ of each of the following. Find \, Find \,
1. 96 6. 192 11. 348 16. 912
2. 84 7. 144 12. 624 17. 756
3. 72 8. 576 13. 360 18. 864
4. 48 9. 252 14. 432 19. '960
6. 60 10. 156 16. 276 20. 720
68
ARITHMETIC.
ROMAN NOTATION.
147. In the Roman Notation, letters are used.
1 = 1 V = 5 X = 10
148. The numbers from 1 to 10 are written as follows :
123 456 7 8 9 10
I II III IV V VI VII VIII IX X
Placing. X in succeasioa before each of the foregoing gives the
numbers from 11 to 20.
149. Write in Roman Numerals :
11 12 13 14 15 16 17 18
150. Read the following :
XXI XXIII XXV
XXII XXIV XXVI
. Write in Roman numerals :
31 32 33 34 35 36
L stands for 50
19 20
. Read the following :
XLI XLIII XLV
XLII XLIV XLVI
153. Write in Roman numerals :
51 52 53 54 55
60 = LX 70 = ?
XXVII
XXiX
XXVIII
XXX
\ 37
38 39
XL =
= 40
XL VII
XLIX
XL VIII
3 57
58 59
80 = ?
I
154. Read:
LXI LXXIV LXXXIX LV XXXIX XXIV LIII LIX
100 -= 90 = xd
EEVIEW.
>5. Read:
XCI
XCIX
XCII
XCIII
XCIV
XCVIII
xcv
XCVII
69
XCVI
156. Write in Roman numerals :
25 48 63 52 74 98 37 29 14 89 34 47 99
157. Liquid HeaBure.
. 2 pints = 1 quart.
4 quarts = 1 gallon.
Pints are written pt. Quarts are written qt. Gallons are
written gal.
The measures themselves should be brought into the class-room, and
should be handled by the children. As many as possible of the pupils
should verify the table by filling the gallon measure with water, using the
quart, etc.
158. Oral Problems.
1. How many weeks are there in 35 days?
2. A man had 25 pounds of raisins. How many pounds had
he after selling one-half pound ?
3. A family uses a gallon of milk a day. How many quarts
does the family use in 7 days ?
4. When milk is 8 cents a quart, what is the price of a
gallon ?
6. When oil is 8 cents a gallon, how much does a quart cost?
6. A boy had 2 pies, which he cut into fourtlis. How many
pieces did he make ?
7. How many quarter-dollars are there in 5 dollars?
8. John's father gave him a half-pound box of candy, and his
aunt gave him a quarter-pound. How much candy did he have
then?
70 ARITHMETIC.
9. If 9 fire-crackers are sold for 1 cent, how many can a boy
get for 5 cents?
10. A storekeeper receives 45 cents for 9 balls. What does he
charge apiece for them ?
11. Louis has 9 pigeons ; Henry has four times as many. How
many has Henry ?
12. How many marbles will Mr. Smith have to buy, to give
11 to each of his 4 boys?
13. A mechanic earns $24 per week of 6 days. What wages
does he receive for a day's work ?
14. A farmer has 4 horses, 27 cows, and 10 pigs. How many
animals does he own ?
16. A girl spent 9 cents for ribbon. If she had 30 cents at
first, how much money had she left ?
159. Slate Problems.
1. A farmer paid 15 dollars for a sheep, and paid for a cow
20 dollars more than he paid for the sheep. How many dollars
did he pay for both?
2. Mr. Jones raised 90 tons of hay. He sold 65 tons, and
his horses ate 10 tons. How many tons had he left?
3. William sold 8 dozen eggs. How many eggs did he sell?
4. Ellen has 5 cents left after spending 50 cents for a doll
and 20 cents for a work-box. How much money had she at first?
6. A grocer charged 16 cents for a half-pound of butter.
What was the cost of a pound ?
6. If it takes 4 horses to draw 1 cannon, how many horses
will be needed to draw 24 cannons ?
7. A street-car conductor collected 85 cents in one trip.
How many people were in the car, if each paid 5 cents ?
8. Find the cost of 7^ pounds of currants at 10 cents a pound.
REVIEW. 71
9. When tea is 80 cents a pound, how much will I have to
pay for a half-pound and a quarter of a pound?
10. Sarah buys a reader for 25 cents, a slate for 12 cents, and
a copy book for 10 cents. How much change does she get out of
a half-dollar ?
11. How many 7-dollar suits can be bought for 84 dollars ?
12. Mrs. Brown buys a sideboard for $25, a table for $15,
and 6 chairs at $ 2 each. How much money does she spend ?
13. A farmer has in his orchard 3 rows of peach trees, 2 rows
of cherry trees, and 4 rows of apple trees. How many trees has
he in the orchard, if there are 11 trees in each row ?
14. There are 24 boys in a class. How many boys are there
in 3 classes ?
15. I spent 68 cents for dry goods, and have 22 cents left.
How much money had I at first ?
16. There are 90 eggs in a box. How many will be left after
5 dozen are sold ?
17. Our reader has 87 pages. We read 45 pages last month,
and 30 pages so far this month. How many pages have we yet
to read ?
18. James has 10 marbles, Thomas has 5 more than James,
Edward has 5 more than Thomas. How many marbles have the
three boys?
19. A fruit-dealer has 8 dozen oranges. How many oranges
will he have after he sells 3 dozen ?
2.0. How many days are there in April, May, and June ?
CHAPTER III.
MULTIPUOATIOU AND DIVISIOU. — OUNCE AND POUND. -
TWO 0PEEATI0N8. — HALVES, THIED8, F0UETH8.-
MULTIPLICATION BY A MIXED NUMBEE.
MULTIPLICATION BY Q,
160. Oral Exercises.
What is the cost of 6 pounds of sugar at six cents a pound ?
Of 6 seven-cent dolls? Of 6 quarts of milk at eight cents a
quart? Of 6 yards of muslin at nine cents a yard.
161. Learn the following tables :
2 times 1 are 2 3 times 1 are 3 4 times 1 are 4 5 times 1 are 5 6 times 1 are 6
2 •
• 2
.. 4
3 "
2
" 6
4
(1
2 " 8
5
II
2
"10
6 "
2 "12
2 •
• 3
•• 6
3 "
3
" 9
4
II
3 "12
5
II
3
"15
6 •
3 "18
2 *
' 4
" 8
3 ••
4
"12
4
((
4 "16
5
(1
4
"20
6 "
4 "24
2 •
' 5
"10
3 •
' 5
"15
4
(i
5 "20
5
II
5
"25
6 "
5 "30
2 '
• 6
"12
3 '
' 6
"18
4
ti
6 "24
5
II
6
"30
6 •
• 6 "36
2 •
' 7
"14
3 '
' 7
"21
4
li
7 "28
5
II
7
"35
6 "
. 7 "42
2 •
• 8
"16
3 '
' 8
"24
4
II
8 "32
5
II
8
"40
6 •
' 8 "48
2 •
• 9
"18
3 '
' 9
"27
4
II
9 "36
5
It
9
"45
6 '
9 "54
2 '
' 10
"20
3 '
' 10
"30
4
i(
10 "40
5
II
10
"50
6 •
' 10 "60
2 '
• 11
"22
3 •
' 11
"33
4
II
11 "44
5
II
11
"55
6 •
• 11 "66
2 '
' 12
"24
3 '
' 12
"36
4
11
12 "48
5
II
12
"60
6 '
' 12 "72
162. Sight Exercises.
Give answers :
3x5 11 X 3
5x6 6x9
4x5 11x6
7x6 5x5
5X12
11x5
9x4
11 X 2
4x4
3x7
lOx 6
3x9
3x6
6x11
6x4
10x5
72
MULTIPLICATION AND DIVISION. 73
8X 5
6x 6
7x 3
9x 2
6x 8
4x 6
4x 7
2x11
8X 6
4x10
5x11
2x12
8x 3
4X 9
6x 5
12 X 5
3x 8
10 X 3
5x10
lOx 2
9X 3
4x 3
5X 8
9x 5
12 X 6
7x 4
4x 8
4x12
6x10
7X 5
2x 8
9x 6
5x 7
12x 4
3x 3
12x 3
5x 9
lOx 4
6x 7
2x 9
4x11
11 X 4
6x12
12X 2
8X 4
163. Slate Exerases.
Multiply by 6 :
1. 1,643
9. 280
17. 728
26. 1,632
33. 1,095
2. 264
10. 344
18. 1,628
26. 1,570
34. 1,665
3. 807
11. 1,123
19. 764
27. 998
35. 1,049
4. 1,360
12. 676
20. 1,448
28. 1,168
36. 990
6. 1,605
13. 1,308
21. 1,566
29. 1,268
37. 1,630
6. 199
14. 444
22. 1,056
30. 1,232
38. 1,504
7. 358
16. 1,660
23. 1,358
31. 1,612
39. 1,320
8. 647
16. 555
24. 1,374
82. 1,536
40. 1,409
164. Sight Exeroises.
Give quotients :
5}45
6}48
7}14
8)24
11}22
12)36
11)44
10)30
7)42
6}54.
5)55
4)32
3}33
4)36
5}40
6)72
9}36
10)40
11)33
12)48
9}9
8}48
7)35
6)66
3}21
2)24
3)27
4)48
9)45
10)60
9)18
8)16
3)36
2)]^
7)28
8)40
11)55
10)20
5)60
4)44
5)40
6)36
7}21 8}32 9}54 10}50 11 HI 12^
74 AKITHMEnC.
165. Wozoester PnUio Schools. — Examination Qnestions.
1. How many days are there in 3 weeks?
2. How many 2-cent stamps can I buy for 18 cents?
3. 18 + ? = 24 27~?=18 14 + ? = 22
43-? = 36 31-?=24
4. ^ofl8 = ? iof24=? iof30 = ?
iof40 = ? iof48 = ?
5. If ^ of a yard of ribbon costs 8 cents, what is the price of
a yard ?
6. At 3 cents a pint, how much will 5 quarts of milk cost?
7. How many thirds are there in 1 apple? In 3 apples*?
8. 4 9 4 7 8
8 8 8 7 9
6 6 7 6 7
7 8 6 6 4
9. A boy earned a dime every day for 5 days. How mucli
money did he earn ? He spent 30 cents for a cap, and a dime
for a blank book. How much money had he left ?
10. 66 64 73 91 47
61 31 24 76 61
82 70 91 62 20
11. Four boys bought a pound of candy. What part of the
pound will each boy have, if it be divided equally among them?
12. Count by 3's to 48. Count by 2*s to 60.
13. (28-!.4) + (6x6)-(17-8) = ?
14. Harold has 6 marbles, and Henry has seven times as
many. How many has Henry ?
16. 68-6-4-3-2~9--T~8-l~6 = ?
8 + 4 + 6 + 8 + 10 + 9+7 + 6 + 3 + 1==?
REVIEW. 76
DIVISION BY Q.
166. Slate Exercises.
Divide by 6 :
1. 1,728 11. 3,006 21. 5,016 31. 7,002 41. 9,240
2. 1,056 12. 3,966 22. 5,238 32. 7,338 42. 9,360
3. 1,314 13. 3,348 23. 5,910 33. 7,512 43. 9,426
4. 1,566 14. 3,582 24. 5,652 34. 7,734 44. 9,540
5. 1,926 16. 3,726 25. 5,814 36. 7,956 45. 9,636
6. 2,484 16. 4,284 26. 6,810 36. 8,436 46. 8,904
7. 2,790 17. 4,536 27. 6,936 37. 8,574 47. 7,500
8. 2,160 18. 4,068 28. 6,426 38. 8,664 48. 5,040
9. 2,574 19. 4,644 29. 6,234 39. 8,790 49. 6,336
10. 2,664 20. 4,410 30. 6,048 40. 8,832 60. 4,824
167. Sight Exercises.
Give missing numbers :
9x? = 54 ?X5 = 40 16-^? = 8
?-6 = 19 ? + 7 = 25 ?^3 = 9
24-? = 15 12x3 = ? 32h-4 = ?
168. Original Problems.
Make problems containing the following numbers :
20 + 8 + 7 + 5 19-4 12 X5
28-f-4 5x6 20-h2
169. Beview. Slate Exercises.
Add:
1. 1,792; 816; 54; 937; 208; 4,007; 19.
2. 357 ; 20 ; 9 ; 64 ; 583 ; 6,086 ; 444 ; 37.
76 ARITHMETIC.
3. 2,095 ; 6 ; 678 ; 23 ; 418 ; 96 ; 177 ; 3,456.
4. 1,876 ; 783 ; 275 ; 954 ; 783 ; 666 ; 2,854 ; 1,009.
6. 8; 75; 466; 4,308; 275; 54; 9; 83; 507.
170. Find differences between :
. 6. 684 and 1,079. 14. 2,763 and 4,087.
7. 9,101 and 2,345. 16. 9,002 and 4,932.
8. 7,311 and 5,198. 16. 9 and 9,000.
9. 1,876 and 938. 17. 7,800 and 6,969.
10. 4,000 and 2,500. 18. 3,000 and 13.
11. 9,000 and 8,970. 19. 2,470 and 2,560.
12. 6,473 and 5,876. 20. 8,000 and 7,999.
13. 4,321 and 5,000.
171. Multiply by 2 :
21. 4,978 22. 3,708 23. 4,837 24. 3,916 26. 2,785
By 3:
26. 1,978 27. 3,284 28. 3,306 29. 2,765 30. 1,899
By 4:
31. 2,467 32. 2,315 33. 2,475 34. 1,899 36. 1,978
By 5:
36. 1,890 37. 1,257 38. 1,683 39. 1,594 40. 1,738
By 6:
41. 1,659 42. 1,538 43, 1,476 44. 1.375 46. 1,248
By 7:
46. 1,426 47. 1,364 48. 1,251 49. 1,403 60. 1,265
By 8:
61. 1,234 52. 1,065 63. 1,143 64. 1,203 66. 1,152
By 9:
66. 1,032 67. 1,052 68. 1,063 69. 1,105 60. 1,036
MULTIPLICATION AND DIVISION. 77
By 10:
61. 456 62. 354 63. 260 64. 364 65. 625
By 11:
66. 612 67. 505 68. 624 69. 530 70. 456
By 12:
71. 232 72. 304 73. 215 74. 521 76. 605
172. Divide by 2:
76. 9,876 77. 8,954 78. 7,976 79. 6,958 80. 5,974
By3:
81. 8,988 82. 7,698 83. 9,864 84. 8,727 86. 7,908
By 4:
86. 9,788 87. 9,964 88. 9,856 89. 8,992 90. 8,708
By 5:
91. 7,895 92. 8,705 93. 9,610 94. 6,835 96. 7,990
By 6:
96. 9,840 97. 8,922 98. 9,900 99. 8,814 100. 7,830
By 7:
101. 8,022 102. 8,652 103. 9,555 104. 9,912 106. 7,392
By 8:
106. 9,968 107. 8,504 108. 9,248 109. 8,520 110. 8,480
By 9:
111. 9,504 112. 9,954 113. 9,144 114. 9,558 115. 9,576
By 10 :
116. 6,460 117. 5,230 118. 4,120 119. 3,340 120. 2,530
By 11:
121. 4,422 122. 5,533 123. 6,094 124. 3,443 126. 2,365
By 12 :
126. 1,212 127. 2,436 128. 1,344 129. 2,556 130. 1,500
78 ARITHMETIC.
173. Oral ProUemB.
1. Spent 75 cents for & book, and 10 cents for a slate. How
mucli was paid for both ?
2. If a girl pays one cent for 5 jackstones, how many cents
would she have to pay for 25 jackstones ?
3. A pound of butter costs 24 cents. How much will \
pound cost?
4. If ^ pound of sugar costs 3 cents, what is the price of a
pound ?
6. At $5 per ton, how many dollars will I have to pay for
6 tons of coal ?
6. How many feet have 12 cows ?
7. If 24 children, at a party, eat ^ pint of ice-cream each,
how many pints will they all eat ?
8. How many oranges are there in a box containing 5 dozen?
9. A woman pays $18 for material for a dress, and $6 for
making it. How much does the dress cost ?
10. I pay 10 cents for \ pound of candy. How much would
I have to pay for ^ pound ?
174. Slate Problems.
1. Find the cost of 6 coats at $ 15 each.
2. If 6 marbles are sold for one cent, how much will a boy
have to pay for 84 marbles ?
3. What is the price of a half-yard of lace when a yard
costs 90 cents ?
4. At 6 cents a pound, how many pounds of sugar can you
buy for 96 cents ?
5. What will be the cost of 3 base-balls at 25 cents each?
6. A storekeeper sells marbles at 13 for a cent. How many
marbles can be bought for 5 cents?
REVIEW. 79
7. At 3 for a cent, how many cents would I have to pay
for 99 slate pencils ?
8. If there are 24 hours in a day, how many hours are there
in 3 days?
9. John has 136 postage stamps, and William has 4. How
many have they together ?
10. By selling a ball for 75 cents, I lost 5 cents. What did
it cost me ?
11. What will be the cost of 6 cans of corn at 13 cents a can?
12. How many pounds of 4-cent flour can be bought for 64
cents ?
13. Harry learns to spell 14 words a day. How many does
he learn in 5 davs ?
14. How many quarts are there in 18 gallons ?
16. How many quarts are there in 64 pints?
16. A girl goes to school 5 hours a day. How many minutes
does she attend school if there are 60 minutes in an hour ?
17. There are 4 classes in a school, and 24 pupils in each
class. How many pupils are there ?
18. What will be the cost of 2 dolls at 49 cents each?
19. Paid 48 cents for 3 yards of cambric. What was the
price of 1 yard ?
20. A boy sold some newspapers for 50 cents ; he made 25
cents profit. What did the papers cost him ?
21. A Noah's ark contains 15 animals. How many animals
in 6 Noah's arks ?
22. A train went 96 miles in 3 hours. How many miles did
it go in one hour?
23. Fifty pupils belong to a certain class; 13 are absient.
How many are present ?
24. On Friday there were 68 pupils present in school, and 12
absent. How many pupils belong to the school?
80 ARITHMETIC.
26. Eighty children attend a strawberry festival; each one
eats one-half pint of ice-cream. How many pints are eaten ?
26. How many quarts are there in 90 pints ?
27. What would be the cost of 6 velocipedes at $ 13 each ?
28. A circus owner paid $92 for 4 monkeys. How much
apiece did they cost ?
29. The fare on a certain railroad is 3 cents a mile. How
many miles can I ride for 96 cents?
30. A street-car conductor receives 5 cents fare from each
passenger. How many passengers has he, if he receives 75 cents
for fares ?
QUOTIENTS AND REMAINDERS.
175. Divide 13 by 2.
The dividend 13 containg the divisor 2, 6 times with 1 remainder. 2)13
The remainder is written over the divisor. The answer is read six 51
and one-half.
Divide 27 by 4.
The quotient is 6, and the remainder is 3. The answer is 6|, read six
and three-fourths.
In like manner 42 -i- 5 = 8f ; 67 + 6 = llj.
176. Slate Exercises.
«
Find answers :
1. 87-4-2
11.
370-^ 3
21.
1,200-^9
31.
6,833-1- 5
2. 195 -f- 4
12.
289-f- 6
22.
1,001^8
32.
9,545-+- 6
3. 415 H- 6
13.
359 -H 7
23.
1,416 H- 7
33.
4,238-1- 7
4. 230-f-3
14.
421 : 8
24.
2,593 -^- 6
34.
4,005-*- 8
6. 954-^5
15.
370-^ 9
25.
4,976 H- 5
35.
4,555 H- 9
6. 1,607 : 2
16.
453 : 10
26.
7,577^4
36.
2,349 -f- 10
7. 295 H- 3
17.
567-^11
27.
6,872 -f- 3
37.
3,367-*- 11
8. 163-^4
18.
607 : 12
28.
9,503 ^ 2
38.
4,877 -f- 12
9. 809-^6
19.
1.354-^11
29.
8,761 : 3
39.
5,611^11
0. 756 : 5
20.
1,247 -- 10
30.
7,699 -^ 4
40.
3,803 -t- 9
REVIEW. 81
MULTIPLICATION BY A MIXED NUMBER.
VII. Sight Exercises.
Give answers :
iof24
i
of 24
iof24
|of24
tof24
i
of 24
\ol2A
|of24
tof24
i
of 24
|of24
*of24
f of24
i
of 24
24x
^
24 X H
24xli
24xli
12 X
^
12 X \\
12X2J
12
X2t
12 X
2i
12X2J
178. Slate Exercises.
•
Find answers :
1. 26 xl^
11.
iof96
21.
120 X 9i
2. 39x4
12.
|of96
22.
126 X li
3. 60 X l\
13.
120 X \\
23.
126 X H
4. |of39
14.
120 X2J
24.
126 X \\
5. |of56
15.
120 X3i
26.
124 X2J
6. f of75
16.
120 X ^
26.
240 XH
7. 48xli
17.
120 X5|
27.
760 X li
8. 56xli
18.
120x6^
28.
840X31
9. 75x1^
19.
120 X 7i
29.
960 x4i
10. 1 of 120
20.
120 X8J
30.
380 X4i
179. Oral Problems.
1. I bought 6 pounds of 4-cent sugar and gave the store-
keeper 26 cents. How much change should I receive ?
2. How much must be paid for a 10-cent doll, and -J- yard of
damask at 40 cents a yard ?
3. If two oranges cost 6 cents, how many cent-s will 5 cost?
4. What will I pay for a gallon of milk at the rate of 3 cents
a pint ?
82 ARITHMETIC.
4
6. Find the cost of three-fourths of a yard of 8-cent muslin.
6. A boy had 25 cents. He spent 10 cents for a base-ball.
How many 5-cent bats can he buy with the rest of his money ?
7. What will 3^ pounds of 6-cent sugar cost?
8. Sarah buys two 12-cent goblets and a yard of 9-cent rib-
bon. How much money does she pay for all ?
9. If there are 16 ounces in a pound, how many ounces are
there in three-fourths of a pound ?
10. When butter is 24 cents a pound, what part of a pound can
be bought for 6 cents ?
180. Slate Problems.
1. Bought 4 yards of cambric at 13 cents a yard. How
much change do I receive if I give the clerk 75 cents ?
2. What would be the cost of ^ pound of 70-cent tea and 25
cents' worth of eggs ?
3. If 2 sheep cost $26, how many dollars would I have to
pay for 5 sheep ?
4. What would be the price of a gallon of ice-cream at the
rate of 12 cents a pint ?
6. Find the cost of f of a pound of 60-cent tea.
6. A man has $ 90. He buys a cow for $ 45. How many
* sheep at $ 5 each can he buy for the remainder of his money ?
7. What will 3^ yards of lace cost at 24 cents a yard?
8. Mary buys 6 goblets at 13 cents each and a yard of silesia
for 15 cents. How much money does she pay for all?
181. There are 16 ounces in a pound. Write ounce, oz. ; pound, lb.
9. How many ounces are there in 2J pounds ?
NUMBERS OF FIVE FIGURES. 83
NOTATION AND NUMERATION.
1S2. Write one thousand in figures. Nine thousand. Ten
thousand. Eleven thousand. Twelve thousand. Thirteen thou-
sand. Twenty thousand. Thirty thousand. Forty-one thousand.
Fifty-two thousand. Sixty-three thousand. Seventy-four thou-
sand. Eighty-five thousand. Ninety-six thousand.
183. Read the following :
97,000 56,789 60,706 11,010 10,100
50,800 90,001 23,456 33,333 11,100
10,000 84,000 67.890 70,007 10.111
11,000 40,900 89,998 34,567 44,444
11,101 10,001 73,000 78.900 80,080
11,111 10,011 30,600 70.503 45,678
56,789 11.110 10,010 65,000 89,000
12,345 22,222 10,101 20,100 67,008
084. Write:
Forty-seven thousand eight hundred sixteen.
Eleven thousand eleven.
Four thousand four.
Ninety thousand nine.
Sixty-two thousand sixty-two,
Forty-five thousand eight hundred ten.
Ninety-nine thousand nine hundred ninety-nine.
Four hundred seven.
Eighty-three thousand six hundred eighty.
Fifty thousand five hundred five.
(4
ARITHMETIC.
18& Bead the following :
4,263
24,734
6,412
32,487
61,005
77,481
4,084
36,073
8,000
26,789
91,733
1,875
87,091
707
15,897
49,137
18,765
50,008
6,040
5,678
7,009
79
19,109
89,364
3,709
54,020
95,687
45,606
90,500
40,002
2,244
45,000
80,020
8,964
71,435
20,000
25,045
63,817
72,000
5,031
30,087
62,990
17,717
25,020
80,200
78,003
88,502
15,480
17,901
40,898
OLXXVI
XOIX
XT.VIII
XXXIV
LXXXVII
186.
Add across. Add down.
1 +
8 +
7 +
8 +
4 +
2 = ?
20 +
40 +
70+ 90 +
30 +
50==?
300 +
500 +
800 + 200 +
600 +
400 = ?
4,000+ (
5,000+ 5,000+ 7,000 +
8,000+ 1,000 = ?
10,000 + 10,000 + 10,000 + 10,000 + 10,000 + 10,000 = 1
? +
? +
? + ?
+
? +
? -?
Add down. Subtract
across.
'
9
- 6^
= ?
7- 4
-?
70
- 30
= ?
(
80- 20
-?
800
- 200
= ?
900 - 300
— ?
•
9,000
- 1,000^
= ?
6,000- 2,000
-?
40,000
- 10,000
= ?
50,000 - 40,000
= ?
? - ? =? ? _ ? =?
MULTIPLICATION AND DIVISION.
85
MULTIPLICATION BY 1,
187. Make table of 7's. Learn it.
188. Sight Exercises.
Give products :
3x7
2x7
4x7
6x7
1x7
8x7
10x7
5x7
11x7
9x7
12x7
7x7
189. 1
Slate Exercises.
Multiply by 7 :
1. 14
11. 26
21.
95
31. 1,016
41.
11,076
2. 15
12. 33
22.
121
32. 2,32.0
42.
12,085
3. 17
13. 35
23.
608
33. 3,006
43.
13,960
4. 22
14. 42
24.
315
34. 4,027
44.
14,031
5. 24
15. 45
25.
422
36. 5,309
45.
10,628
6. 103
16. 53
26.
706
36. 6,028
46.
12,598
7. 205
17. 54
27.
625
37. 7,123
47.
11,675
8. 307
18. 66
28.
813
38. 8,650
48.
10,989
9. 409
19. 70
29.
276
39. 9,321
49.
10,999
10. 510
20. 82
30.
365
40. 9,876
50.
11,999
DIVISION BY 1.
190. Slate Exercises.
Divide by
7:
51. 91
56. 714
61.
189
66.
378
71.
651
52. 112
57. 1,428
62.
238
67.
392
72.
784
53. 147
58. 2,142
63.
252
68.
469
73.
3,556
54. 161
59. 2.849
64.
301
69.
560
74.
2,212
65. 175
60. 3,563
65.
322
70.
588
75.
2,975
86 ARITHMETIC.
76. 4,249 81. 7,098 86. 42,140 91. 79,569 96. 59,059
77. 4,382 82. 16,247 87. 50,491 92. 87,556 97. 62,062
78. 5,698 83. 21,049 88. 59,920 93. 95,263 98. 75,076
79. 1,960 84. 28,196 89. 63,861 94. 96,439 99. 88,088
80. 2,562 86. 37,156 90. 72,982 96. 48,048 100. 99,099
191. Seyiew.
Find answers :
1*1. 7 )849 106. ^ 111. 600 -+-7 116. | of 273
102. 6 )849 107. ^ 112. 509 -+-6 117. ^ of 432
103. 5 )849 108. -^ 113. 609-^-5 118. ^ of 865
104. 4 )849 109. St^ 114. 607 -f- 4 119. J of 728
105. 3 )849 110. ^ 115. 307-^-3 120. | of 861
192. Multiply by 8:
121. 2,460 122. 3,571 123. 6,052 124. 3,565
By9:
125. 1,507 126. 2,306 127. 3,754 128. 4,625
By 10:
129. 3,571 130. 1,346 131. 2,456 132. 2,301
By 11:
133. 1,304 134. 2,460 135. 3,507 136. 4,321
By 12:
137. 2,030 138. 3,151 139. 4,263 140. 5,174
193. Divide by 8:
141. 24,327 142. 50,005 143. 30,063 144. 28,569
By 9:
145. 32,140 146. 12,119 147. 22,102 148. 20,710
REVIEW. 87
By 10:
149. 24,327 150. 30,063 161. 26,579 152. 37,543
By 11:
153. 28,347 154. 25,345 155. 26,800 156. 38,577
By 12:
157. 24,361 158. 48,731 159. 37,812 160. 51,157
194. Add:
161. 4,263
162. 24,734
163. 685
164. 9
17,481
4,389
7,412
88
1,733
1,875
36,073
777
9,137
679
8,791
6.666
7,009
84
5,008
55,555
34,020
376
19,109
4,444
2,244
5,007
5,678
333
987
34,060
395
22
63
9,988
166. $24.60
84
167. $487.31
1
166. $610.05
168. $164.75
67.89
150.78
78.12
23.46
8.97
35.71
' 51.57
35.07
6.78
413.04
4.36
121.19
37.09
31.51
.67
300.63
14.35
42.63
25.34
65.79
50.31
5.74
106.83
74.35
2.00
85.69
57.50
8.04
.93
.77
3.87
10.60
169. 347 + 8,865 + 24,795 + 9,876 + 4,050 + 16,984 + 6,395 +
10,034 + 1,776 + 235.
170. 13,275 + 9,083 + 22,659 + 3,876 + 248 + 1,207 + 14,307
+ 2,369.
88 ARITHMETIC.
Find differences between :
171. 90,876 and 89,967. 179. 17,246 and 83,111.
172. 10,000 and 9,090. 180. 60,301 and 54,287.
173. 84,378 and 90,000. 181. $ 900.00 and 30 cents.
174. 50,101 and 51,010. 182. $ 742.65 and $ 8.37.
175. 36,599 and 36,700. 183. $9.16 and $916.00.
176. 43,285 and 37,967. 184. $3.40 and $543.21.
177. 54,283 and 25,179. 185. $1,234.50 and $3.75.
178. 38,000 and 43,584. 186. $98.75 and $1,000.00.
196. Oral Problems.
1. What will be the cost of a 10-cent piece of soap, and 7
pounds of cheese at 11 cents a pound ?
^ 2. Forty-eight quarts are how many gallons ?
3. How much will be paid for 12 yards of gingham at 7 cents
a yard ?
4. If 2 spools of thread cost 10 cents, what will 10 spools cost ?
5. What must I pay for 1^ yards of 24-cent ribbon?
6. There are 12 months in a year. How many months are
there in 3^ years ?
7. How many ounces are there in 1 pound 9 ounces?
8. At 48 cents a gallon, what will be the cost of a pint of
molasses ?
9. A farmer's wife had 60 eggs. How many dozen did she
have?
10. What is the cost of f of a yard of serge at 40 cents a
yard?
REVIEW. 89
197. Slate Problems.
1. What will 7 bushels of wheat weigh, if there are 60 pounda
in 1 bushel ?
2. Find the weight of 8 bushels of corn, if a bushel of corn
weighs 56 pounds.
3. $ 750 are paid for 5 horses. How much does 1 horse cost?
4. A man buys a box containing 30 dozen oranges. How
many oranges are there in the box ?
5. A box contains 60 lemons. If one-fourth of them are bad,
how many good ones are there in the box?
6. What will be the cost of 5|- yards of gingham at 18 cents
a yard ?
7. 280 pupils attend a certain school. If one-seventh of them
are absent, how many pupils are present ?
8. How many gallons are there in 320 pints ?
9. How many ounces are there in 3 pounds 4 ounces?
196. Sight Exeroises.
Give products :
8x3 7x 4 5x9 6x 7 8x 5
2x8 3x9 4x7 7x9 12 x6
5x7 12 x4 10x5 8x6 9x7
11x6 5x5 7x8 12 x7 5x12
8x7 6x 8 9x6 5x 8 4x 9
6x9 7x12 2x8 6x10 7x8
12x5 4x8 7x7 12 X3 11 x7
199. Give quotients :
24-3 54-f- 6 60-S-5 24-!- 8 27
16-8 48-^ 4 25-^5 48-^- 8 84
35-^7 32-s- 8 45-H-9 28h- 4 50
9
7
5
y<j
ABITHMETIO.
66-^6
56-t- 8
54-4-6
16 -H 8
49 -V 7
56 H- 7
42^ 7
63 : 9
48-*- 6
84 + 7
40 : 8
60 : 10
36 : 3
40 : 5
72 : 6
63 -s- 7
60 : 12
36 : 9
56 : 8
77 + 7
MULTIPLICATION jBT 8.
200. Make table of 8's. Learn it.
201. Slate Exercises.
Multiply by 8 :
1. 13
11. 33
21.
38
31.
407
41.
5,167
2. 14
12. 35
22.
47
32.
509
42.
6,234
3. 15
13. 41
23.
56
33.
613
43.
7,568
4. 20
14. 43
24.
65
34.
717
44.
8,290
5. 21
15. 52
25.
74
35.
821
45.
9,067
6. 22
16. 61
26.
83
36.
935
46.
9,408
7. 23
17. 73
27.
92
37.
1,050
47.
10,234
8. 24
18. 80
28.
101
38.
2,135
48.
12,046
9. 25
19. 91
29.
203
39.
3,456
49.
11.507
10. 31
20. 29
30.
305
40.
4.083
50.
10,345
DIVISION BY S.
202. Sight
Exercises.
Give answers :
24
35
63
72
77
8
7
9
6
7
40-*- 8
63-4-7
81 -H 9
72-!- 8
64-V-8
6)44
9)27
8)56
7)84
5)60
9)45
2)25
3)32
4)45
5)44
6)37
7)53
8)59
9)50
9)70
REVIEW.
91
203. Slate Exercises.
Divide by
8:
1. 104
7. 184
13. 376
19.
808
25.
5,736
2. 112
8. 192
14. 448
20.
1,624
26.
6,568
3. 120
9. 200
16. 520
21.
2,440
27.
7,480
4. 160
10. 248
16. 592
22.
3,256
28.
8.400
5. 168
11. 232
17. 664
23.
4,072
29.
17,080
6. 176
12. 304
18. 736
24.
4,904
30.
27,648
204. Oral Problems.
1. If 2 oranges cost 6 cents, what will I have to pay for 8
oranges ?
2. What will 8 pairs of shoes cost at $4 per pair?
3. A farmer had 39 sheep in one flock, 8 in another, and 10
in another. How many sheep had he in all ?
4. Ellen gathered 11 quarts of berries, Mary gathered 2
quarts less than Ellen. How many did both gather?
5. Frank's aunt gave him 50 cents. He gave 10 cents for a
slate, and spent the rest for lead-pencils at 5 cents each. How
many pencils did he buy?
6. What will be the fare for 11 boys at 3 cents each ?
7. There are 46 maple trees in a park, 10 pine trees, and 9
oaks. How many trees are there in the park ?
8. A man bought a wagon for $35. He spent $10 fixing it.
What would he gain by selling it for $ 50 ?
9. A grocer bought 36 eggs at f of a cent apiece. How
many cents did the eggs cost him ?
10. Jane had 48 cents ; her mother gave her 10 cents, and
she spent 50 cents. How much money had she left?
92 ARITHMETIC.
11. How many dollars will I have to pay for 2 barrels of
flour, at $5J^ a barrel?
12. A dealer bought coal for $4.50 per ton, and sold it for $6.
How much did he gain ?
13. There are two stables with 14 horses in each. How many
horses are there in both ?
14. If ^ a pound of sugar costs 3 cents, what will be the cost
of 5 pounds?
15. If 96 marbles are divided equally among 8 boys, how
many will each receive?
205. Slate Problems.
1. If 2 pounds of raisins cost 26 cents, what will be the cost
of 7 pounds ?
2. What will 8 overcoats cost at $15 each?
3. A drover bought 39 oxen from one man, 48 from a second,
and 59 from a third. How many oxen did he buy ?
4. Mr. Lane sold 45 bushels of apples ; his neighbor sold 10
bushels less. How many bushels did both sell ?
«
6. A boy went to the store with 90 cents. He bought a
pound of lard for 22 cents, and spent the rest for flour at 4 cents
a pound. How many pounds of flour did he buy ?
6. What will be the fare for 34 boys at 3 cents each?
7. There are 24 maple trees in a park, and 26 more chestnut
trees than maples. How many are there of both kinds ?
8. A man bought an ox for $37. After spending $23 in
feeding it, he sold the ox for $ 78. What was his profit ?
9. Find the cost of 4^ pounds of cofiee at 24 cents a pound.
10. A merchant had 48^ yards of calico. He sold 35-J- yards,
and bought 52 yards. How many yards had he then ?
REVIEW. 93
11. What will 2 yards of ribbon cost at 16^ cents a yard?
12. How much profit is made on an article that costs $3.75
and is sold for $ 5 ?
13. How many pints are there in 42 quarts 1 pint?
14. A store-keeper received $1.40 for 4 pounds of butter.
What was the price per pound ?
15. How many ounces are there in 5^ pounds?
16. How many ounces are there in 5 pounds 4 ounces?
17. When tea sells for 5 cents an ounce, how much does one-
fourth of a pound cost ?
18. A dealer bought 20 quarts of milk at 16 cents a gallon.
How much did he pay for it ?
19. What will 3 dozen lemons cost at 2 cents each ?
20. If 8 pounds of sugar cost 48 cents, what will be the price
of a half pound ?
21. A farmer has 92 acres in 4 fields of equal size. How
many acres are there in 3 fields?
22. A store-keeper had 24 hammers. He sold one-fourth of
them at 15 cents each. What did he receive for them ?
23. Mr. Day had 84 sheep. He kept 70 of them, and sold
the remainder at $7 apiece. How much did he get for the ones
he sold ?
24. How many quarts in a barrel of oil that holds 45 gallons?
25. There are 24 hours in a day. How many hours are there
in a week ?
26. A farmer has 16 cows in one stable and three times as
many in another stable. How many cows has he in both
stables ?
27. How many boxes holding 8 ounces each will 5 pounds of
candy fill ?
94 ARITHMETIC.
MULTIPLICATION BY 9.
206. Make table of 9*8. Learn it.
207. Slate Exercises.
Multiply by 9 :
1. 13
11.
34
21.
39
31.
832
41.
6,018
2. 14
12.
36
22.
46
32.
946
42.
6,342
3. 15
13.
41
23.
55
33.
1,051
43.
7,685
4. 20
14.
43
24.
64
34.
2,143
44.
8,370
5. 21
15.
54
25.
73
35.
3,465
45.
9,067
6. 22
16.
62
26.
81
36.
4.093
46.
10,345
7. 23
17.
75
27.
92
37.
4,216
47.
11,067
8. 24
18.
82
28.
102
38.
4,436
48.
10,489
9. 25
19.
93
29.
204
39.
5,025
49.
10,523
10. 32
20.
28
30.
728
40.
5,173
50.
10,658
DIVISION BY ^,
208. Slate Exercises.
Divide by 9 :
61. 117 59. 225 67. 657 75. 666 83. 5,517
52. 126 CO. 279 68. 720 76. 747 84. 6,453
53. 135 61. 297 69. 819 77. 828 85. 7,389
54. 180 62. 315 70. 261 78. 909 86. 8,415
55. 189 63. 369 71. 387 . 79. 1,827 87. 9,450
56. 198 64. 387 72. 423 80. 2,745 88. 19,125
57. 207 65. 414 73. 504 81. 3,663 89. 45,819
58. 216 66. 549 74. 585 82. 4,581 90. 65,214
REVIEW.
209. Divide by 8. By 9.
91. 140 94. 482
97.
804
100.
627
92. 217 95. 675
98.
902
101.
914
93. 361 96. 777
99.
405
102.
375
95
210. Oral Problems.
1. William has 10 marbles; Edward has 5 more than Wil-
liam. How many marbles have both boys?
2. James spent 50 cents for a ball, and 80 cents for bats.
How much did he spend ?
3. If candy is 40 cents a pound, what will | pound cost?
4. If J pound tea costs 20 cents, how much will I have to
pay for -J- pound ?
5. If 3 peaches cost 9 cents, how many peaches can I buy for
15 cents ?
6. Three-quarters of a pound of butter costs 24 cents ; how
many cents does one-quarter of a pound cost?
7. A boy has in his bank a quarter, a dime, a half-dime, a
8-cent piece, a 2-cent piece, and a cent. How much money
has he?
8. What part of a pie will be left after three children have
each received one-fourth of it ?
9. What will be the cost of 1 quart 1 pint of ice-cream, at 20
cents a pint ?
10. How many cents will 1 ounce of cloves cost at 40 cents
for -^ pound ?
11. A farmer has two cows and a calf. One cow gives 20
quarts of milk a day, the other gives 25 quarts; but the calf
drinks 15. How many quarts a day has the farmer to sell ?
12. How many half-pints in a quart of ice-cream?
96 ARITHMETIC.
13. A boy takes 75 cents to the store to get 25 cents* worth of
eggs, and the remainder in 5-cent sugar. How many pounds of
sugar does he get ?
14. A farmer brings to the store 4 dozen eggs worth 20 cents
a dozen. How many yards of 8-cent muslin can he buy for the
money ?
16. What will be the cost of 3-J- pounds of flour at 4 cents a
pound, and ^ pound of butter at 20 cents a pound ?
Slate Problems.
1. How many tons of coal at $5 a ton can be bought for
|200? '
2. A milkman sells 8 cans of milk a day, each can holding 10
gallons. How many quarts does he sell ?
3. A merchant takes in $18 on Monday; on Tuesday, $3
less; on Wednesday, as much as on Monday and Tuesday
together. How many dollars does he take in on the three days?
4. A man buys horses at $100 each, and sells them at $120
each. What is his profit on 4 horses ?
6. There are 2 floors in a school building, and 4 rooms on
each floor. How many pupils are in the school if there are 40
in each room ?
6. How much will 4 dozen eggs cost at 2 cents for each egg?
7. There are 24 hours in one day. How many hours are
there in 9 days?
8. A newsboy sold 23 papers at 3 cents each, and 30 at 1
cent each. How much money did he get for them ?
9. There are 16 ounces in 1 pound. How many ounces are
there in 9 pounds ?
10. A man earns $ 100 per month and spends $ 75 per month.
How much money will he save in 3 months?
EEVIEW. 97
11. Find the sum of 36 and 45 ; subtract from it 65 ; multiply
the remainder by 6; divide the product by 8. What is the
quotient ?
12. What will be the cost of 2J yards dress goods at 32 cents
per yard ?
13. How many dollars will a woman pay for 6 pairs of shoes
at $ 3 per pair, and an overcoat at $ 12 ?
14. A man sells 7 sofas at $14 each. If they cost him $ 75,
what is his profit ?
15. A man has 90 cents in silver. He gives -J of it to his
wife. The remainder he divides equally among 4 children.
How many cents does each child receive ?
212. Beview.
Add:
1. 34,216 2
. 84,657
3. 378
4. 64,027
6.
9
1,579
2,070
4,154
3,589
81
381
3,889
1,765
4,706
■
630
4,006
573
28,309
520
1,284
25,718
28
6,524
1,879
15,408
6,285
6
893
20,006
6,275
946
57
25,065
3,845
497
57
1,065
nawers :
84
217
62
213. Find a
6. 80,000
7. -13,398 8.
75,191
9. -
- 89,688
- 57,059
27,684
- 74,909
90,235
214. Oral Exercises.
1. ^ of 14 5.
f of77
9. f of 55
13. f of24
17.
^of45
2. f of21 6.
|of40
10. 1 of 72
14. J of 32
18.
f of36
3. ^of28 7.
|of60
11. ^of80
15. ^ of 63
19.
J of 27
4. f of35 8.
f of60
12. 1 of 16
16. |of54
20.
^ofl8
98 ARITHMETIC.
215i Slate Exercises.
1. I of 98 6. 28 xH 11- 28x6f 16. 600x7^
2. f of 105 7. 28 X 2f 12. 24 X 9^ 17. 276 X 2J
3. ^ of 112 8. 28 X 3^ 13. 36 X 8^ 18. 888 X 3^
4. f of 119 9. 28 X 4| 14. 84 X 3 J 19. 999 X 41
5. f of 126 10. 28 X 5| 15. 100 X 4^ 20. 555 X 2^
MUL TIPLICA TION B Y 10.
10X6 = ? 10x7 = ? 10x9 = ?
216. What is the last figure of each product ? If we multiply
3 by 10, what figure do we join to the 3? When 5 is multiplied
by 10, what figure is joined to the 5 ?
217. 1
Bight
Exercises.
10x10
11x10
12x10
13x10
14x10
15x10
17x10
20x10
25x10
37x10
49x10
65x10
63x10
72x10
81x10
99x10
DIVISION BY 10.
21B. When we divide 90 by 10, what is the quotient ? What
figure of the dividend is dropped in the answer ?
219. Sight Exercises.
80^10 100^10 120H-10 160-^10
190-^10 240^10 300 -f- 10 360-^10
400-^10 450^10 510-^^10 620^10
90-^10 870-^10 960-^10 1,000-10
REVIEW.
99
220. Give sums :
60 + 30 20 + 60
70 + 20 30 + 30
20 + 40 20 + 70
40 + 30 60 + 30
SPECIAL DRILLS.
50 + 40 40 + 50
30 + 20 60 + 20
20 + 50 40 + 40
30 + 40 30 + 50
30 + 60
40 + 20
50 + 20
20 + 30
Give remainders :
90-50 50-20 80-40
80 - 30 80 - 60 70 - 30
40-20 70-20 60-40
60-30 90-30 • 90-60
50
90
60
70
30
40
20
50
90
80
70
90
70
50
40
20
Give products :
20 X 2 3x30
2x30 20 X 3
30 X 3 2x40
4x20 30 X 2
40
60
90
80
i. Give results :
2 90 -H 30
30 60-^ 3
3 80
-^20
4 + i
40
60-5- 2
Give results :
10-i
20 X 4
ix60
80 X
40x
1
80^-4
iof60
80-^ 2
JofSO
4X1
ixlO
20x1
1x40
1x90
80 X 1
3x20
1x80
lof60
60H-20
lof40
I of 80
2-^1
5 + i
10 + 1
20 X 8
1x40
2x20
90 X
1
40-h20
lof90
I of 40
lof80
i
i
2-1
1
100 ABTTHMETIG.
225. Oral FroUeniB.
1. What will be the cost of 3 pounds coffee at SO^ per
pound?
2. There are 100 cents in a dollar. How many cents in |
dollar ?
3. What will I have to pay for 4 readers at 20 cents each ?
4. A boy pays 50 cents for a pair of skates and 20 cents for
a pound of candy. How much money does he spend ?
6. What will be the price of J pound of 80-cent tea ?
6. Find the cost of \ yard of silk at 60^ per yard.
7. A store-keeper sells 80 marbles for 20 cents. How many
does he sell for 1 cent ?
8. There are seats for 40 pupils in 1 class-room. For how
many pupils are there seats in 2 rooms ?
9. A man bought 3 pounds of 20-cent coffee. How much
did he pay for it ?
10. How many ounces in 10 pounds ?
11. How many quarts in 80 gallons?
12. The pupils of a certain class solve 20 problems each day.
How many do they solve in 5 days ?
13. A farmer had 90 sheep. How many did he have after
selling 60 sheep ?
14. A family uses 3 quarts of milk a day. How many quarts
are used in a month of 30 days?
DIVISION BY 10.
226. 19-^10 = 1^ 27-T-10 = ? 33-^-10 = ?
Notice the remainder.
101-^10 = ? 113-^10 = ? 127-^-10 = ?
What figure of the dividend is the same as the remainder ?
REVIEW. 101
227. Sight Exercises.
87-^10 103 -f- 10 127-^10 ' 161-^-10
192 -^10 249 -f- 10 301 ^ 10 363 -*- 10
402-^10 490 --10 515-^10 626 -f- 10
697^10 7184-10 823 -T- 10 998-^10
228. Slate Exercises. Beview.
iiaa:
1. $186.54
2. 1493.05
3. $936.84
4. $1,925.84
. 43.79
27.56
27.00
600.03
287.60
8.32
lg.95
285.92
.65
.95
.38 .
67.15
9.83
.04
6.22
496.88
354.00
1.18
25.80
37.23
2.93
23.59
47.11
4,286.84
12.08
186.18
164.08
.99
6. Two hundred eighty-seven dollars and sixteen cents;
ninety-four dollars and ten cents; four thousand two hundred
seventy-eight dollars and five cents* seventy-three thousand six
hundred twenty-nine dollars ; eight thousand eight dollars and
eight cents ; ninety-nine cents ; twenty-five dollars eleven cents ;
four cents.
Subtract :
6. $198.50 7. $200.00 8. $600.00 9. $361.82 10. $983.27
29.86 83.07 .07 279.93 486.00
11. From nine hundred sixty-two dollars and eighty-four
cents take five hundred seventy-six dollars and seventy-six
cents.
12. Find the diiFerence between eight hundred four dollars
and ninety-three cents and nine hundred dollars.
13. From ninety-nine dollars take ninety-nine cents.
102 ARITHMETIC.
14. I paid eighty-four dollars and twenty cents for some tea
and sold it for one hundred ^ye dollars and fifteen cents. What
was my profit ?
15. Find the difference between six hundred seventy-five dol-
lars and eighty-nine cents and four hundred eighteen dollars and
ninety-eight cents.
230. Multiply:
16. $1.65 17. $22.75 18. $101.50 19. $83.75 20. $29.63
8 6 4 5 7
Divide :
21. 3 )$ 29.70 23. 5 )$ 191.7 5 25. 7 )$ 130.13
22. 4)$ 86.00 24. 6 )$ 240.78 26. 8 )$ 902.00
232. Oral Problems.
1. What will a boy have to pay for a 60-cent pair of skates
and a 30-cent pair of gloves ?
2. Henrietta bought 3 yards of dress goods at 30 cents per
yard. What was the amount of her bill ?
3. A girl has 20 cents in her bank. How many more cents
must she get to have half a dollar ?
4. What will be the cost of a 50-cent ball and three 10-cent
bats?
6. How many packs of fire-crackers at 4 cents each can be
bought for 80 cents ?
6. John received 30 cents from his father and 20 cents from
his mother. How many baseballs at 10 cents each can he buy
with the money ?
7. Mary has 60 cents. Jane has 20 cents less. How many
cents has Jane ?
8. If 3 pounds of coffee cost 90 cents, what will be the cost
of 1 pound ?
REVIEW. 103
t
9. How many pounds of tea at 40 cents a pound can a per-
son buy for 80 cents ?
10. How much cloth worth a dollar a yard can be bought for
25 cents ?
233. Slate Problems.
1. Find the cost of 4 barrels of flour at $5.50 per barrel.
2. If 3 yards of silk cost $7.50, what is the price of a yard ?
3. Divide $18.60 among 12 persons, giving each the same
amount.
4. A man gave 6 boys 10 cents each and had 25 cents
remaining. What had he at first?
6. How much change from a dollar bill will a person receive
who buys 5 yards of lace at 17^ per yard ?
6. If I pay 90 cents for 3 yards of linen, what would I have
to pay for IJ yards?
7. A man had 96 chestnuts. He divided one-half of them
equally among his three children. How many did each receive ?
8. If 6 dozen eggs cost $1.44, what is the price of 1 dozen?
Of 1 egg?
9. A man earns $2.50 per day, and spends 5^2.10. How
much will he save in 2 days ?
10. What will be the cost of If yards of ribbon at 40 cents
per yard ?
234. Slate Exercises.
Multiply :
1. 84x4^ 6. 119x9| 11. 576x7^ 16.180x12^
2. 63 X 3J 7. 240 X 8^ 12. 177 x ^ 17. 336 X lOJ-
3. 96 X b\ 8. 522 X 4| 13. 252 X 3J 18. 480 X 11^
4. 84 X 7i 9. 344 X 9| 14. 315 x 8^ 19. 432 x 12|
5. 120 X 6| 10. 576 X 2^ 16. 125 X 6^ 20. 121 X ll^^^
2.
9 + 8+ 6
3.
15 9 + 12
4.
28 + 5- 6
5.
32 6+ 8
6.
8 times 5
7.
4 times 9
8.
7 times 6
9.
12x5
10.
J of 20 X 9
104 ARITHMETIC.
235. Philadelphia Fublio Sohools. — Oral Work.
1. Place before the pupil the following expressions. Require
him to perform with splints or pencils the operations indicated : —
15-^5 iofl2
11. 25 is how much more than 16?
12. 26 is how much less than 35 ?
13. 32 and 10 are how many ?
14. In 45 are how many tens and ones?
16. How many 8's are in 48?
16. How many 12's are in 36 ?
17. In 54 are how many 9's?
18. Five times 8 are how many 10*s?
19. 9 X 8 -^ 12 = what number ?
20. Ask the pupils to look at the teacher's desk. Ask them
to tell how high it is, and how long it is.
21. If 3 pounds of coffee cost 60 cents, what is the cost of one
pound ?
236. Written Work.
1. To 43 add 17. Take 25 from the sum.
2. From 75 yards take 28 yards.
3. Multiply 18 by 5.
4. Divide 76 by 9.
6. Mary is 31 years old and Fanny is 15 years younger.
What is Fanny's age ?
6. If 3 bushels of apples are in one barrel, how many barrels
will 84 bushels fill ?
7. John earned 25 cents one day, 18 cents another day, and
35 cents another day. How much more must he earn to have a
dollar ?
8. Draw an oblong. Place a dot on each corner. Place two
other dots near the middle of each side.
Do an example to show how many dots are on five such oblongs.
EAST PBACTIONS.
105
HALVES.
237. Sight Ezeroises.
Add:
1 half pie + 1 half pie $ i + 1 i
^Ib. + Jlb. + Jlb. %oz.+J^oz.
2i yd. + 1 yd.
2} feet
2 feet
^
2J-qt.
Hqt.
2igal.
^gal.
^
^
3*
^
3
238. Slate Exeidses.
Add:
1. i3i+ ^
6. 25 +25J+25
2. 27^ + 15
7. 12^+12^
3. 36i+ 8^
8. 21^ + 32^^+3
4. 2^+i^+ 6
9. 24^ + 24^
5. 17^+29 + ^
10. 13^ + 26
+ 47
11. 25^ 12. 34 13.
n
14. 8^
16. 27J
+ + +
+
+
49^ 68J
10
10
30
240. Subtract:
16. 49^ 17. 68J 18.
10
19. 10
20. 30
25^ 34
H
8*
27i
21. 10 22. 25 23.
32
24. 54
26. 75
H ^
l^
50J
74i
106
ARlTHMETia
FOURTHS.
241. Oral Exeidses.
How many fourths in a pie ? How many quarters
in a dollar ? How many fourths in half a pie ? f =
1 what?
J pie + J pie =• what ? $J + $i + $i = how many fourths ?
f lb. + i lb. = what ?
242. Sight Exeroises.
2ipint + ipint If yard + iyard $i+$i + $i + $i
2| 2| 4i 6i 3f 7i 6f
+ 2 +\\ +2i +9 +5f +8i +6}
+
+ ?
f =--?
243. Slate Exercises.
Add:
26. If
2
Bf
27. 2|
3
41
28. 2^
12i
2
29. 1\
2|
3
30. 4|
5
if
31. f
i
32. If
1*
83. 27f
19i
84. 84f
l4
36. 67i
25t
244. Find
missing numbers :
•
36. 13f
+
37. 15
+
38. 18^
+
39. 24f
+
40. 8{
+
26i
41. 6f
+
30^
42. 7i
+
19
43. 5^
+
25
44. 23}
■ +
7i
25i
10
45. 28|
+
30
EASY FRACTIONS.
iUY
245. I
Subtract :
46. 46^
23^
47. 40J
20
48. 20.
lOi
49. 30
154
50.
25|
15i
51. 9^
6i
52. 17f
15i
63. 84f
60
64. 48f
19|
55.
46
17i
246. Oral Exercises.
THIRDS.
"When a thing is divided into three equal parts, j/^ ^\
what is each part called ? Draw a square and f ^ ^ \
divide it into thirds. How many thirds in 2 pies ? Vx^'^^^^X/
In 3 pies ? Vj^>^
1 foot + \ foot = ?
J yard
+ ^ yard + ^ yard — ?
1 year + 1 year = ?
f month + 1 month — ?
247. Sight Exercises.
+ 3 +6
4i
+ 4i
5i n
+ 4 +if
(^ + (^
\2/
+ ? ♦ - ?
248. Slate Exercises.
Add:
56. 43^ 57. 69|
30i lOi
58. 63|
4|
59. 48f 60. 39^
15 5|
61. 27^ 62. 6|
3 5
63. 18^
4|
7
64. 1 65. 49
11 i
108
AHTTHMETIC.
249. Find
missing numbers :
66. &|
+
67. 5i
+
.68. &|
+
69. 7i
+
70. 4\
+
lOf
lOi
10
lOf
10
250. Subtract:
71. 25|
16§
72. 26
16f
73. 26f
16
74. 26
16i
75. 26i
16^
76. 84|
581
77. 50
49J
78. 63
50i
79. 47|
16i
80. 39
7i
251. Oral Problems.
/ 1. A boy has 5 packs of fire-crackers. After shooting off a
pack and a half, how many will he have ?
2. A farmer cut 2J- tons of hay on one piece of land and 9
tons on another. How many tons of hay did he cut ?
3. If it takes 2J- yards for a jacket, and 3^ yards for a coat,
how many yards will be needed for both ?
4. 2J yards of ribbon are cut from a 10-yard roll. How
many yards remain ?
5. From a tub containing 25f pounds of butter there are sold
5^ pounds. How many pounds are left ?
6. A quarter of a pound of tea is taken from a 2-pound pack-
age. How much tea is there left in the package ?
7. A real estate agent sold 2| acres from a 10-acre plot.
How much land is there still to sell ?
8. Mr. Jones brought to market 12f bushels of potatoes.
He sold 10^ bushels. How many bushels did he bring home ?
9. A store-keeper sold 2 pieces of silk, 2J yards in each
piece. How many yards did he sell ?
REVIEW. 109
10. How many pounds of coffee are there in 2 packages weigh-
ing If pounds each ?
252. Slate Problems.
1. Find the weight of 4 tubs of lard containing 24^, 26, 25|,
and 27^ pounds, respectively.
2. A barrel of sugar weighs, including the barrel, 310
pounds. The barrel weighs 20^ pounds. How much does the
sugar weigh ?
3. A merchant sold 2| yards of cloth to one customer, 3^
yards to another, 4 J yards to a third, and 5|» yards to a fourth.
Hovf" many yards did he sell in all ?
4. A grocer bought 13^ dozen eggs from one dealer, and
47f from another. How many dozen did he buy ?
6. If 16|^ yards of silk are cut from a piece containing 30
yards, how many yards are left ?
6. I own 20 acres of land. I keep 18 J acres, and sell the
rest at 40 dollars per acre. How much do I receive for it ?
7. There are 10 dozen oranges in a box. 3^ dozen are
spoiled. How many good oranges are there ?
8. If 2 gallons and 1 quart of milk are sold from a 10-gallon
can, how much milk remains?
9. School is in session 5 hours a day. How much time is a
boy in school on Monday, if he comes 1^ hours late in the morn-
ing and -J- hour late in the afternoon ?
10. A girl spends ^ of the day in school, preparing her les-
sons, and doing other work ; she spends -J- of the day at her meals
and play ; she sleeps the remainder of the time. How many
hours does she sleep ?
CHAPTER IV.
HTJLTIFLIEBS AND DIVISOBS OF TWO OB KOBE naiTBES.
— MULTIPLIEBS OONTADTINO FBAOTIONS. — ADDITION
AND SUBTBAOTION OF EASY MIXED NUMBEBS. — DTOE,
FOOT, AND YABD.
HALVES AND FOURTHS.
253. Oral Exercises.
Draw a circle to represent a pie. Divide it into two equal
parts. What is each part called? Divide it into four equal
parts. What is each part called ?
How many fourths in 1?
How many fourths in half a pie ? How many fourths in ^?
How many fourths in 2 ? Eight fourths are how many ?
254: Oral Problems.
1. A boy spends $ ^ for a knife and $ ^ for a ball. How many
quarter dollars does he pay for both ?
2. A girl buys f pound of candy at one store and \ pound at
another. How much candy does she buy at both stores ?
3. If it takes 3^ yards of cloth for a coat and \\ yards for a
vest, how many yards will it take for both ?
4. If a geography costs $f, a reader $^, and a grammar %\,
what will be paid for the three books ?
5. The school is J of a mile from Henry's house. How far
does he walk going and coming?
110
HALVES AND FOURTHS. Ill
255. Slate Exercises.
Add:
1. 36^ 2. 66^
8 3|
5f 9i
3. 83^
7i
4. 6^
2i
6, 27|
9
6. 3^ + 6 + 87^
8. 36f + 27 + 6i
9.
10.
11.
62J + 7i + 16i
14i + 3i.+ 60i.
256. Oral Problems.
1. A boy has $2J. How much will he have after he spends
2. A woman has 15 yards of muslin. How much will she
have after she uses 14f yards?
3. A milk can holds 5 gallons, when full. If there are 4^
gallons in it, how much more milk will it hold ?
4. To 3 gallons 3 quarts add 1 gallon 1 quart.
5. A girl wishes to buy a doll that costs $1^. If she has $f,
how much more does she need ?
257. Slate ExeiciBes.
Find missing numbers :
1. 65^ 2. $10J^ 3. 63fgal.
+ + +
4. 35ilb.
+
6. 30f
70^ $12f 72|gal. 36 lb. 35
Subtract :
6. $65^ 7. 63fyd. 8. 792Jlb. 9. 40 ft. 10. 50 pt.
$5^ 19iyd. 26ilb. | ft. ^pt.
11. 40 12. 40f 13. 40f 14. 275^ 16. 275|
f 3l| 29f 68^ 68J
112 ARITHMETIC.
259. Slate Problems.
1. A sailor has 10 yards of cloth. He uses 3^ yards for a
coat and 1 J yards for a vest. How many yards has he left ?
2. I buy 1 J pounds of tea at 60 cents per pound. How much
change from a dollar should I receive ?
3. John buys 9 pounds of starch and has it put up into
four packages. If the starch costs 8 cents per pound, what is
each package worth?
4. A box of eggs contains 30 dozen. How many eggs will
be left after 3J dozen 4re sold ?
5. A woman has 15 yards 2 feet of ribbon. How much
ribbon has she after using 6 yards 1 foot ?
6. A grocer has 55 pounds of tea. How many pounds has
he aftpr selling 25^ pounds and buying lOJ pounds?
7. What will If pounds of allspice cost at 4 cents per ounce?
8. Sold 3f pounds of butter to one customer, and 2J- pounds
to another. How much was received at 28 cents per pound ?
9. A man works 300 days in a year, receiving $3^ per day.
How much does he earn in a year ?
10. I have 14^ pounds of candy. How many pounds will I
have after selling nine J-pound boxes of candy ?
11. A grocer sells 47 J- pounds of flour from a barrel contain-
ing 196 pounds. How many pounds are left?
12. How many yards of ribbon are there in three rolls con-
taining 24J- yards each ?
13. There are 49J pounds of butter in a tub. The tub itself
weighs lOJ pounds. How many pounds do both weigh together?
14. How many inches of cord are there in a piece IJ yards
long ?
15. A boy is 12 years 7 months old; his sister is 9 years
3 months old. How many months older is the boy ?
MULTIPLICATION. 113
MULTIPLICATION BY \l AND 12.
260. Make tables of ll's and 12's. Learn them.
261. Sight Exercises.
Give products :
t
\
lOx 8
11
X 6
3x12
11x11
9x 9
8X 8
12x 6
5x11
6x12
10x10
9x10
12x12
10x11
•
llx 7
9x11
11x10
12x 2
12x 4
12x 3
8x12
4x11
12x 9
11x12
12x10
12x11
7x12
10
Xl2
8x 9
llx 8
5x12
11 X 9
8x11
12x 8
7x 7
10 X 9
9x 7
7
X 9
9x12
12x 7
12x 5
11 X 6
11
X 4
llx 3
llx 3
9x 6
262. 1
Slate Exercises.
■
•
Multiply by 11. By
12.
1. 13
11.
81
21.
61
31.
615
•
41. 7,908
2. 14
12.
32
22.
62
32.
720
42. 8,270
3. 15
13.
33
23.
73
33.
816
43. 8,085
4. 16
14.
34
24.
, 84
34.
924
44. 7,888
6. 17
16.
41
25.
93
36.
1,062
45. 7,467
6. 21
16.
42
26.
111
36.
2,345
46. 6,320
7. 22
17.
43
27.
213
37.
3,124
47. 5,908
8. 28
18.
50
28.
324
38.
4,516
48. 4,567
9. 24
19.
51
29.
456
39.
5,729
49. 3,095
10. 25
20.
52
30.
507
40.
6,384
50. 2,999
114 ARITHMETIC.
DIVISION BY n AND 12.
263. Slate Exercises.
Divide by 11. By 12.
51.
132
63.
2,772
75.
8,926
87.
14,988
52.
264
64.
3,960
76.
9,431
88.
16,700
53.
396
65.
5,412
77.
10,296
89.
18,008
54.
628
66.
7,392
78.
12,220
90.
21,012
55.
660
67.
9,108
79.
14,124
91.
24.680
56.
792
68.
1,876
80.
17,160
92.
27,727
57.
924
69.
2,345
81.
36,300
93.
30,605
58.
1,056
70.
3,670
82.
46,992
94.
36,318
59.
1,188
71.
4,281
83.
78,276
95.
49,999
60.
1,320
72.
5,302
84.
93,324
96.
53,827
61.
1,584
73.
6,749
85.
10,796
97.
62,986
62.
1,848
74.
7,835
86.
12,209
98.
70,304
264. Beview. Slate Ezeroises.
99.
35i + 18i
109.
186 X
t
100.
17^ + 23f
110.
248 X
i
101.
27^ + 39}
111.
324 X
i
102.
64|+16i
112.
645 X
i
103.
49i + 25i
113.
360 X
H
104.
45^ + 26^
114.
729 X
li
105.
^+ ^+^
115.
488 X
f
106.
^+ ^+^
116.
309 X
^
107.
^+ ^+^
117.
420 X
^
108.
ii+ ^+^+
4i
118.
420 X
f
REVIEW.
119.
324 X 1\
129.
30x1}
120.
408x 1
130.
30x1}
121.
968 X H
131.
30x2}
122.
924 X 1|
132.
20x2f
123.
20xH
133.
20x1}
124.
20x2^
134.
20x2}
125.
20x3}
^135.
20x3}
126.
20x4}
136.
30x1}
127.
20x1}
137.
30x3}
128.
20xl|
138.
70x8}
115
I. Find missing numbers :
139. 64} -29}= ? 144. 37} -18}= ?
140. ? +49} = 60 145. ? + }= 59
141. 40}+ ? =42 146. 60}+ ?= 80
142. ? +38} = 70} 147. 75}+ ? = 100
143. 79|-30}= ? 148. ? + 6}= 59
266. Oral Problems.
1. If 8 ounces of tea cost 40 cents, what will be the price of 5
ounces ?
2. How much will have to be paid for 3 quarts and a pint of
milk at 3 cents per pint ?
3. What will 3 pounds of sugar cost if 5 pounds cost 30
cents?
4. If ice-cream is worth 40 cents per quart, how much will }
pint be worth ?
«
5. If oil costs 8 cents per gallon, how much can be bought
for 1 cent?
116 ARITHMETIC.
6. What will 8 yards of muslin cost at 12 cents per yard ?
7. At $11 each, how many calves can be bought for $132?
8. How much does a man earn in a week if he earns $6 Mon-
day, $7 Tuesday, $8 Wednesday, $9 Thursday, $7 Friday, and
$6 Saturday?
9. Mr. Arch moves into a house Jan. 15. How many days
will he have been in the house on Jan, 23 ?
10. How many 9-cent books can be bought for 75 cents, and
how much money will be left ?
267. Slate Problems.
1. A man spends $90. He pays $18 for a coat and the
remainder for 12 barrels of flour. How much does each barrel
of flour cost ?
2. At 3 c6nts an ounce, find the cost of 2 pounds of pepper.
3. A yard of cloth is worth 96 cents. What is the value of
three-fourths of a yard ?
4. How many ounces in 12 pounds?
5. How many gallons in 96 pints ?
6. What will be the cost of 2 dozen oranges at 4 cents for
each orange ?
7. There are 95 men in a company and 10 companies in a
regiment. How many men are there in a regiment ?
8. A grocer had on hand Monday morning 99 eggs. During
the day he sold 57 eggs and bought 32 eggs. How many had he
on hand Monday night?
9. A merchant had 90 barrels of flour. He sold 28 barrels to
one man and 34 to another. How many barrels had he left?
10. A farmer has 42 pigs. He keeps 29 pigs and sells the
others at $5 each. How much does he receive for the pigs he
sells ?
EEVIEW. 117
11. What are 12 horses worth at $ 120 each ?
12. $240 are paid for 8 overcoats. What is the price of one
overcoat ?
13. If there are 12 inches in a foot, how many feet are there
in 600 inches ?
4
14. There are 3 feet in a yard. How many inches are there
in 10 yards?
15. What will be the cost of 1 gallon, 1 quart, 1 pint of milk,
at 3 cents a pint ?
1. Sight Exercises.
Give answers:
1. 30 + 60-40 9. |of(90-30) 17. (90-f-10)-^3
2. 20 + 30 + 40 10. (80-60)x4 18. 80h-(4x2)
3. (20 + 10)x3 11. (2x20) + 60 19. iof(80^10)
4. (50 + 30)h-4 12. 2x20x2 20. (90-j-30)-2
5. J of (30 + 60) 13. (4x20) -50 21. (^ of 90) + 60
6. 80-40 + 50 14. (20x4) -^40 22. (| of 60) -20
7. 90-30-40 15. i of (20x4) 23. (80-^4) X 3
• 8. (90-20)-i-7 16. (80-f-20) + 9 • 24. (^of60)-H3
L Give missing numbers :
1. 30 + 40 - ? =20 6. (3 X ?) +10=70
2. I of (50+ ?) = 20 7. 2 xlO X ? = 60
3. 20+ ? + 40 = 70 8. (80-^ ?) -f. 2= 2
4. (50- ?)x 4 = 40 9. ( ?-^^40) X 5 = 10
5. (80^40)+ ?= 5 ' 10. (J of 80) H- ?= 2
118
ARITHMETIC.
MULTIPLIERS ENDING IN 0.
270. Oral Exercises.
6x4 = ? 4x6 = ? 20x4 = ? 4x20 = ? 12x20 = ?
Multiplying by 20 is the same as multiplying by 2 and affixing
ct cipher to the product.
4x30 = ? 9x30 = ? 12x80 = ? 13x20 = ? 14x20 = ?
13x30 = ? 14x30 = ?
271. Slate Exercises.
Find products :
1. 15x30 7. 21x 90
2. 16x40
8. 17x50
4. 18x60
5. 19 X 70
6. 20x80
8. 22 X 100
9. 23 X 110
10. 24 X 120
11. 128 X 20
12. 234 X 30
13. 345x40
14. 456x50
15. 567x60
16. 678 X 70
17. 789x80
18. 890 X 90
25. 80
26.
160 H
-20
27.
240^
-20
28.
280^
-20
29.
360 ^
-30
30.
420-
-30
31.
480-
h40
32.
550-
1-50
20
DIVISORS ENDING IN 0.
272. Slate Exercises.
Find quotients :
t33. 600 -f- 60
34. 980 -J- 70
35. 1,200-^ 80
36. 1,350 -f- 90
37. 1,680 -f- 120
38. 1,760-^-110
39. 2,340-^ 90
40. 4,640-^ 80
19. 987 X 100
20. 876 X 110
21. 765 X 120
22. 1,654 X 60
23. 1,983 X 50
24. 2,476 X 40
41. 10,010-^70
42. 14,160-4-60
43. 23,450-^60
44. 36,960-^60
45. 40,040-4-70
46. 54,360-^60
47. 65,350-4-50
48. 76,920-4-40
mVISOBS ENDING IN 0.
119
273. Divide
49. 81 ^ 10
67.
565
-J- 80
50. 81-4-20
68.
729
-1-20
51. 81-4-40
1
69.
843
: 30
52. 121-^60
60.
5,281
-i-40
63. 203 -r- 50
61.
6,352
^50
64. 189 : 30
62.
7,565
^60
56. 286-^70
63.
9,034
: 70
66. 367-5-90
64.
11,367
-i-80
274. Divide :
73. 91 H
-20
88.
567-=
^90
74. 71 -i
-30
89.
4,341 -4
-80
76. 91 H
-40
90.
8,764 -.
h70
76. 121 H
f-60
91.
10,123 -i
^60
77. 53-^
-20
92.
23,478 H
^50
78. 72 ^
-20
93.
34,679 -
-40
79. 92 -i
-40
94.
46,258 -
r-30
80. 172-
h-50
95.
52,814 -
i-20
81. 133-4
-30
96.
72.681 -
-30
88. 143 H
-30
97.
94,835 -.
-40
83. 153 -i
-40
98.
16,807 -
h-50
84. 145 -!
-50
99.
33,336 -
h-60
86. 176 H
-60
100.
1,478 -
h70
86. 247 H
h70
101.
23,005-
r-80
87. 459 H
-80
102.
9.876
-90
66.
13,415 -
■r- 90
66.
17,643 -
h-100
67.
20,241 -
i-110
68.
23,887 H
f-120
69.
39,169 -.
i-110
70.
48,062 H
h 90
71.
62,883 -.
h 80
72.
79,941 -■
- 70
103. 69,365
104. 72,468
106. 43,210
106. 34,280
107. 54,210
108. 3,280
109. 4,320
110. 6,790
111. 6,584
112. 7,230
113. 17,235
114. 18,695
116. 93,246
116. 81,188
117. 12,345
90
80
70
60
50
40
30
20
110
120
110
120
90
80
70
120 ARITHMETIC.
275. Mixed Nnmbers. Beview.
Add:
1. 18f
2. 24f
3.
68J
4.
151
5. 65|
H
19
5f
9i
n
^
H
f
631
8
6. S5\
7. 391
8.
101
9.
47|
10. 46^
H
5f
6|
9|
8i
3*
IH
n
25|
23J
11. 15^
12. 3i
13.
301
14.
68f
15. 25^
2f
62^
47J
4
48
35
18f
H
201
17}
16. 3i
17. 36^
18.
601
19.
401
20. 641
64i
42^
141
131
28
m
151
251
27
3|
276. Subtract:
21. 30f
22. 43f
23.
90f
24.
861
26. 80
2n
.26^
85f
49
371
26. 85|
27. 32|
28.
78
29.
25
30. 63
33J.
25i
19i
17|
191
31. 83
32. 501
33.
981
34.
721
36. 65|
36|
371
971
571
291
36. 48^
37. 57f
38.
52i
39.
34|
40. 88}
29^
201
391
271
54i
EXAMINATION QUESTIONS. 121
277. Worcester Public Schools. Examination Questions.
. 1. What will 3 gallons of milk cost at 5 cents a quart ?
2. At a cent an inch, what will a yard of cloth cost ?
3. Frank will be 10 years old to-morrow. In what year was
he born ?
4. 8x9 = ? 12x6=? 7x8 = ? 6x11=? 9x12 = ?
5. At 5 cents a ride, how many horse-car rides can you take
for 75 cents ?
6. How much will 72 eggs cost at 20 cents a dozen?
7. 8769 9875
- 2424 - 6340
8.
11
20
Xl2
+ 30
-12
+ 25
-«-12
+ 75
X 7
50
+ 2
20
-t- 9
+ 60
+ 3
-40
9. How many feet is it around a square floor that is 12 feet
on a sidcf?
10. A newsboy sold enough 2-cent papers to amount to 48
cents. How many dozen papers did he sell ?
11. How many tops worth 6 cents each should a boy give for
9 marbles worth 2 cents each ?
12. A day is what part of a week ?
13. 26 quarts are how much more than 5 gallons?
14. iof27 = ? iof45 = ? ^ofl8 = ? fof28 = ?
fofl8 = ?
16. (8x7) + (12x9)-K6x8) = ?
122 ARITHMETia
278. Long Meaanie.
12 inclies = 1 foot.
3 feet = 1 yard.
Inches are written tn. Feet are written ft. Yards are
written yd.
279. Oral Problenuu
1. How many feet are there in 20 yards?
2. At the rate of 30 cents per yard, what will be the cost of
2 feet of ribbon ?
3. How many inches are there in \\ ft. ?
4. Change 120 inches to feet.
5. How many feet in 3 yards ? How many inches?
6. What part of a foot is 9 inches ?
7. Add 1 foot 6 inches to 1 foot 6 inches.
8. 10 yd. 2 ft. are equal to how many feet?
MULTIPLIERS OF TWO DIGITS. .
280. Multiply 13 by 13 :
13
Place the numbers as here shown. Multiply first by the units' _±r
figure. Then multiply by the tens' figure, placing the first figure of 39
this product under the tens' figure of the multiplier. Then draw a 13
line and add the products. TZ^
123
234
406
1234
1456
13
14
21
31
45
369
936
406
1234
7280
123
234
812
3702
5824
1,599 3,276 8,526 38,254 65,520
MULTIPLICATION.
123
Slate Exercises.
Multiply :
1. 14 X 13
2. 23 X 13
3. 61 X 13
4. 56 X 13
5. 14 X 14
6. 23 X 14
7. 61,xl4
8. 65 X 14
9. 16 X 21
10. 24x21
11. 62x21
12. 55x21
13. 27x32
14. 36x41
15. 43x51
16. 64 X 15
17. 65x61
18. 72x17
19. 81 X 71
20. 62 X 18
21. 54 X 14
22. 66 X 16
23. 67 X 16
24. 54 X 17
85. 44x22
26. 32 X 23
27. 24 X 24
28. 33 X 26
29. 32 X 32
30. 46 X 33
31. 44 X 34
32. 46 X 35
33. 43 X 42
34. 66 X 43
35. 65 X 44
36. 78 X 46
37. 81 X 62
38. 86 X 63
39. 82 X 64
40. 66 X 65
41. 72 X 62
42. 88 X 63
43. 104x64
44. 102x65
45. 114x72
46. 134 X 73
47. 130 X 74
48. 126 X 76
49. 116x82
50. 108x83
51. 123x84
52. 132x85
53. 109x92
54. 111x93
55. 104x94
56. 105 X 95
57. 215 X 18
58. 230 X 19
59. 306x27
60. 407x28
61. 523x29
62. 614x36
63. 309x37
64. 410x38
65. 531x39
66. 630x46
67. 234x47
68. 346x48
69. 460x49
70. 660x56
71. 102x57
72. 206x68
73. 312x69
74. 416x66
75. 523x67
76. 634 X 68
77. 808 X 69
78. 910 X 76
79. 1,025x77
80. 1,204x78
81. 1,210x79
82. 1,050x86
83. 1,103x87
84. 1,042x88
85. 1,045x89
86. 1,038x96
87. 1,025x97
88. 1,011x98
89. 1,009x99
90. 5,360 X 18
91. 6,090x15
92. 4,718 X 19
93. 1,987x49
94. 3,456x28
95. 2,069x35
96. 4,667 X 19
97. 3,999x25
98. 3,845x26
99. 3,673 X 27
100. 2,974x32
124
ARITHMETIC.
12 quotient.
LONG DIVISION.
Divide 156 by 13 :
In long division, the quotient is placed over the
dividend. The divisor, 13, is contained in the first
two figures of the dividend 1 time. We write 1 in the
quotient, and multiply the divisor by it. The product,
13, is placed under the first two figures of the dividend.
A line is drawn, 13 is subtracted from 15, and the
remainder Is written. The next figure, 6, of the divi-
dend is brought down. 13 is contained in 26 2 times. The 2 is written
in the quotient. Multiplying, we place the product, 26, under the partial
dividend, 2Q. There being no remainder, the answer is 12.
13)156
13_
26
. 26
21
11
22
14)294
28
14
14
15)165
15
15
15
22)484
44_
44
44
203
35)7105
70
105
105
Be careful to place each quotient figure over the proper figure of the
dividend.
283. Slate Jlxeroises.
Divide :
1. 169 -f- 13
2. 273 -^- 13
3. 286 ^ 13
4. 299 -J- 13
5. 1,456-^13
6. 2,743 -f- 13
7. 1,599 -i- 13
8. 2,886 -f- 13
9. 154 -^ 14
10. 168 -^ 14
11. 294 -^ 14
12. 308 -f- 14
13. 1,554 -f- 14
14. 2,968-^14
16. 180
16. 315
17. 1,815
18. 1.830
19. 3,015
20. 3,330
21.
22.
23.
24.
26.
231
252
273
483
651
26. 2,352
27. 4,473
28. 6.573
15
15
15
15
15
15
21
21
21
21
21
21
21
21
29.
4,642 H
-22
30.
2,684-^
-22
31.
9,641 -
r-31
32.
6,603 -.
-31
33.
9,952 -
-32
34.
7,392 -
^32
35.
1,089 -
-33
36.
3,729 -
1-33
37.
943-
^41
38.
1,394 -
^41
39.
1,302 -
^42
40.
1,428-
^42
41.
1,333 -
-48
42.
1,376 -
-43
REVIEW. 125
284. Oral Problems.
1. If three dolls cost 90 cents, what will two dolls cost?
2. Find the cost of 2J lb. tea at 40 cents per pound.
3. A grocer sold 3^ lb. 6-cent sugar and spent the money
for 7 oranges. What did the oranges cost apiece ?
4. A store-keeper sold ^ of a pound of candy to one customer,
and a quarter of a pound to another. How much did he receive
from both, if the candy was worth 40 cents per pound ?
5. A man has 3 piles of bricks, each containing 300. How
many bricks has he ?
6. How many feet have 22 cows ?
7. If 20 pounds of meal cost 60 cents, how many pounds can
be bought for 36 cents?
8. A farmer sells 43 cows, which are one-half his herd.
How many did he have at first?
9. When maple syrup costs 10 cents a half-pint, how much
can be bought for 80 cents ?
10. At $2 per day, how much will a man earn in 7 weeks of
6 davs each ?
11. Find the cost of 12 tons of coal at $4^ per ton.
12. A man owned ^ of a canal boat. How much did he own
after selling ^ of his share ?
13. I bought 12 pounds of sugar. How many pounds will I
have after using 2J- pounds?
14. Philadelphia is 90 miles from New York. After traveling
from New York -I of the distance, how many more miles has a boy
to travel to reach Philadelphia ?
15. A lot is 100 feet square. How many feet of fence will be
needed to enclose it?
126 ARITHMETIC.
k Slate Problems.
1. Draw a rectangle to represent a piece of ground 65 feet
long, 35 feet wide. How many feet of fence will be required to
enclose it?
2. What will be the cost of 11^ yards of cloth at $1.80 per
yard ?
3. When sheep cost $ 15 each, how many can be bought for
$165?
4. How many inches are there in 25 yards ?
6. How many ounces in 30 pounds?
6. Find the total cost of 2^ yards of lace at 16 cents a yard,
and 7 yards of ribbon at 8 cents a yard.
7. There are 100 pages in a book. If Lucy reads 14 pages a
day, how many pages will there be left for her to read after 6
days?
8. A grocer puts up 48 pounds of tea into ^ pound packages.
How many packages are there ?
9. How many gallons of oil are there in two cans each contain-
ing 12 gallons 2 quarts?
10. Three and one-half pounds of candy are divided among 8
boys. How many ounces does each boy receive ?
11. A woman spends $18| Monday, $12^ Tuesday, and $18|
Wednesday. How much money does she spend in the three
days?
12. A farmer had 12 pigs. He sold ^ of them at $9 each, J
of them at $8 each, and \ of them at $7 each. How much did
he receive ?
13. Mr. Jones spent -J- of his money for a horse which cost him
$175. How much money did he have left?
14. New York is 90 miles from Philadelphia. After traveling
|- of the distance, how many miles has a girl still to go ?
REVIEW.
127
SPECIAL DRILLS.
206.
Grive
sums :
13 + 13
14+15
16 + 12
20+15
22 + 23
18+11
19 + 30
65 + 14
17 + 50
28 + 21
33 + 16
27 + 32
43 + 46
51 + 37
44 + 45
29 + 60
67 + 22
63 + 36
26+72
73 + 25
287. (
aive differences :
25-13
31-20
65-11
87-75
46-26
29-11
49-30
79-14
59 27
99-63
49-33
98-73
78-31
67-50
35-15
89-60
89-46
88-51
89-44
99-62
28& 1
Grive
products :
13x2
.
14x2
21x2
22x2
23x2
31x2
32x2
33x2
34x2
41x2
44x2
13x3
23x3
21x3
22x3
33x3
31x3
32x3
42x2
21x4
289. •
Gfive
quotients:
-
88-s- 4
39-!- 13
26^ 2
63^21
86-^- 2
64H-32
62h- 2
96-i-32
42^ 2
68 + 34
28h- 2
66-4-33
48-^ 2
46 : 23
66h- 2
44-i-22
82-!- 2
90-!- 30
84-!- 2
93-1-31
290. <
Efive results:
^+ i
1|+ i
3i+ *
7i+ i
2i+ i
^+^
^+^
7i+l|
^+^
8i + l|
^+^
2i + 3^
^ + ^
^+^
7| + 9i
^+^
3i + 3^
5i + 5|
^+^
9|+9i
128 ARITHMETIC.
291. Oral Problems,
1. A boy paid $ 1^ for a hat and $^ for collars. How much
did he spend ?
2. Mrs. Smith is 37 years old; her brother is 22 years older.
What is his age ?
3. If it takes IQJ^ yards for the skirt of a dress and 3^ yards
for the waist, how many yards are needed for the whole dress ?
4. There are 300 pounds of sugar in a barrel. After ^ pound
is taken out, how many pounds will be left in the barrel ?
5. A boy has 65 marbles ; he loses 21. How many has he
remaining?
6. What will be the total cost of 10 pounds of 6-cent sugar
and a pound of 22-cent butter ?
7. A woman buys 5 yards of 12-cent muslin and receives
40 cents change. How much did she give the clerk?
8. A man sells a pound of tea for 60 cents and loses 15 cents
on it. How much did it cost him ?
9. Bought two bars of 20-cent soap and 25 cents' worth of
eggs. How much was the bill ?
10. If tea costs 80 cents a pound, how much will a pound and
three-quarters cost ?
11. Paid 10 cents for ^ pound of candy. What would be the
cost of 2 lb. ?
12. How much would Jane have to pay for 2 dozen oranges
at 1-J- cents for each orange ?
13. A grocer mixed 3 pounds of coffee at 20 cents a pound
and 1 pound of coffee at 28 cents. How much were the 4 pounds
worth ?
14. A girl worked out 93 problems in 3 weeks. How many
did she work in one week ?
HALVES/ FOURTHS, AND EIGHTHS. 129
15. A farmer bought 2 cows at $40 each, and paid for them
with $20 bills. How many bills did he give?
16. A family uses a quart and a pint of milk a day. How
many quarts are used in 6 days?
17. A tea-dealer sold 2^ pounds of tea to one customer and
4^ to another. How much did he sell to both ?
18. Paid 66 cents for 3 pounds of candy. What was the price
per pound ?
19. Bought 4^ yards of linen one day and ^ of a yard the
next day. What was the cost of all at 20 cents per yard ?
20. What will be the total cost of 12 oranges at 2 cents each,
and 20 pears at 3 cents each ?
HALVES, FOURTHS, AND EIGHTHS
292. Oral Exercises.
When a thing is divided into two equal parts, each part is
called a half^ \.
<
i i
€
When a thing is divided into four equal parts, each part is
called 2L fourth, J.
When a thing is divided into eight equal parts, each part is
called an eighth, \,
130 ARITHMETIC.
How many halves in a pie? How many fourths in a pie?
How many eighths in a pie ?
How many fourths in half a pie ? How many eighths in half
a pie? How many eighths in one-fourth of a pie?
One-half -f one-fourth = how many fourths ?
One-half -f one-eighth = how many eighths ?
One-fourth -f one-eighth = how many eighths ?
One-fourth -f three-eighths = how many eighths?
One-half -f three-eighths = how many eighths ?
One-fourth -f five-eighths = how many eighths?
293. Sight Exercises.
i+ i
i+ i
i+ i
n+ i
^+ *
3i+ i
2i+li
3i + lt
4i+li
i+ 1
i+ i
i+ 1
H+ 1
5i+ i
6i+ 1
5i+lf
6i + l|
n+l*
294. Slate Exercises.
Add:
1. 16^ 2. 19i
2b\ 43i
3. 27J
30^
4. 50 J 5.
16|
19|
62}
6. 8i 7. 73^^
90| 18i
8. 14^
85i
9. 56| 10.
43i
26}
26i
HALVES, FOURTHS, AND EIGHTHS. 131
11. 17f 12. 37f 13. 62^ 14. 40J 16. 12|
25i 9J 15i 5i 6i
16. 22| 17. 42J 18. 65| 19. 77^ 20. 52J
17f SOf 29| Hi 27J
I. Find missing numbers:
21. 36i 22. 27 J 23. 55^ 24. 48| 25. 73f
+ ? +? +? +? +?
"io" "io" "56" "49" "tT
26. ? 27. ? 28. ? 29. ? 30. ?
+ 15J +27i +50i +10i +19J
45| 72|
34. 21| 35. 19^
+ ? +?
36| 40J
16
30J
68|
31. 6J
32. 80|
+ ?
33. 18^
+ ?
94f
87|
55f
296. Subtract:
36. 33J
6|
37. 40|
15i
38. 65|
29|
39. 16| 40. 59|
8f 20i
41. 46| 42. 54f 43. 69J 44. 80J 45. 66f
29 17 54 35 19f
46. 2I
47. 17
48. 44
49. 91
60. 35
20i
16|
43|
90|
30i
16^
ARITHMETIC,
*
297. Review.
Add:
51. $143.37^
52. $84.00
53. $386.75
54.
$ 729.84
6.45
5.95
23.89
67.83
.84
.87i
8.86
9.09i
27.19
164. 12^
.47
864.
.09
3.86
66.181
36.57^
707.621
27.95
(
234.93
687.19
3.11
483.20
65.00
1,000.05
25.50
.67
(
989.37
37.28
2.43
8.28
5.08
.12J
29a Subtract:
«
«5. $100.00
57.
$684.45
59.
$81.62J
23.89
26.79
5.12i
56. $1,000.00
58.
$94.16
60.
$1.00
.01
89.99
.12J
299. Multiply:
•
61. $4.85
63.
$36.21
65.
$20.14
12
27
36
62. $57.14
64.
$45.89
66.
$2.50
8
21
12i
300. Divide:
67. 3)$1.86 68,
. 8)$ 864.48
69. 2)$74.25
70.
13) $4.42
301. Oral Froblenui.
1. What will be the cost of 4 pairs of shoes at $3.50 per
pair?
2. How much change will a person receive who buys 9
pounds of lard at 11 cents per pound, and gives a $2 bill in pay-
ment?
REVIEW. 133
3. A boy buys 2 collars at 12J cents each, a base-ball for 25
cents, and a 10-cent bat. How much money does he spend?
4. A farmer sells 48 eggs at 25 cents per dozen. How much
does he get for them?
6. What is the cost of a 300-pound barrel of sugar, at 4 cents
per pound ?
6. How many ounces are there in 2 pounds 8 ounces?
7. A grocer sold 3 chests of tea, each weighing 60 lb., at
$ J per lb. How much did he receive ?
8. A steak weighs 2 lb. 7 oz. What is its cost at 16 ^ per lb. ?
9. At 2 oranges for 5 cents, what would be the cost of 2 dozen
oranges ?
10. How many desks are there in 4 class-rooms, if there are
20 desks in each of 2 of the rooms, and 30 desks in each of the
others ?
11. Add 5 feet 6 inches and 3 feet 6 inches.
12. How many yards and feet in 40 feet?
13. One-half a yard of serge costs 40 cents. How much must
be paid for a yard and an eighth ?
14. Find the cost of 3^ lb. coffee, at the rate of 4 pounds for
80 cents.
15. How many ounces are there in 10 pounds?
16. How many 6-cent spools of thread can be bought for
$1.80?
17. A grocer sells 3^ lb. of sugar to one customer, 14 lb. to
another, and 6-J- lb. to a third. How many pounds does he sell
in all ?
18. What is the cost of 6 pounds of tea, at 40 cents a pound ?
19. A dealer mixes a pound of green tea, costing 50 cents a
pound, with a pound of black tea, costing 30 cents a pound.
How much does each pound of the mixed tea cost him ?
134 ARITHMETIC.
20. A farmer receives $800 for 4 hori^s. For how much
apiece does he sell them ?
21. A man earns $150 a month. He saves $25 a month.
How much does he spend in a month ?
302. Slate Problems.
1. 1 bought 18 pounds of meat at 23 cents a pound. What
is the amount of my bill ?
2. Find the cost of 6 chairs at $3.75 each.
3. A farmer has 14 apple trees, each yielding 2 bushels of
fruit, which he sells for 50 cents a bushel. How much money
does he receive for his apples ?
4. What profit is made on a pound of nutmegs bought for 75
cents and sold at 6 cents an ounce ?
6. A man earns $100 a month, and spends $79 a month.
How much does he save in a year ?
6. If 2 horses cost $300, what will be the cost of 5 horses?
7. A girl paid 50 cents for 2 yards of ribbon. How many
yards could she get for $1.25 ?
8. How many half-pint jars can be filled from a 6-gallon tub
of jelly?
9. How many gallons in 4 dozen bottles each containing a
pint and a half?
10. Find the cost of 30 lemons at 30 cents a dozen.
11. What will be paid for 36 cows at $45 each ?
12. A man has 13 five-dollar bills, and 15 two-dollar bilk
How much money has he ?
13. Mr. Hart, with his wife and two children, spends four
weeks in the country. He pays six dollars a week for his own
board, the same for his wife's board, and $4 a week for the board
of each child. How much does he pay in all ?
LONG DIVISION. 136
14. If a horse eats one-fourth of a bushel of oats per day, how
long will 17 bushels last?
15. When peaches are worth a half-dollar per bushel, how
many bushels can be bought for $ 18 ?
16. Find the cost, at 16 cents a pound, of two hams, one weigh-
ing 8 lb. 8 oz., the other weighing 7 lb. 8 oz.
17. A house is rented for $360 per year. How much rent
does the owner receive in 8 months ?
18. How many feet have 20 cows, 30 ducks, and 20 flies?
19. If a train goes 7^ miles in a quarter of an hour, how far
will it go in 2 hours ?
20. If 6 men can do a piece of work in 25 days, how long will
it take one man to do it ?
303. Slate Exercises.
Divide :
1. 434 by 14
9. 693 by 33
17.
575 by 25
2. 403 by 13
10. 735 by 35
18.
775 by 25
3. 360 by 15
11. 396 by 36
19.
2331 by 21
4. 465 by 15
12. 756 by 36
20.
2775 by 25
5. 630 by 15
13. 451 by 41
21.
4173 by 13
6. 345 by 15
14. 861 by 41
22.
4830 by 15
7. 861 by 21
16. 992 by 32
23.
4500 by 15
8. 352 by 32
16. 656 by 16
24.
4531 by 15
207
306^
200H
som
18)3726
19)5815 27)5411
29)8811
36
57
54
87
126
115
11
111
126
114
87
24
;5
ARITHMETIC.
25.
487-^
-24
34. 3,045-^15
43.
9,069-^41
26.
856 H
-21
35. 4,560 -^- 15
44.
6,273 : 51
27.
1,559 -i
-31
36. 4,204-^-21
45.
8,125 t 25
28.
5,075 H
-25
37. 4,256-^14
46.
7,393 : 32
29.
2,828 -i
-14
38. 9,462 : 22
47.
5,255 -H 52
30.
2,830 -^
-14
39. 6,293-5-31
48.
2,416 : 71
31.
2,833 H
-14
40. 9,060 : 21
49.
9,898 -H 81
32.
1,515 -i
-15
41. 8,484 : 42
50.
9,373 ^ 91
33.
1,520 H
-15'
42. 7,378-5-61
51.
1,866^-93
304. Oral Problems.
1. If sugar costs 4 cents a pound, what will be the price of
21 pounds?
2. How much change will I receive if I buy 30 pounds of
flour at 3 ^ per lb., and give the grocer a $1 bill?
3. Paid 96 cents for 3 pounds of butter. What is the price
per pound ?
4. If cider is 40 cents per gallon, how many quarts can I get
for 30 cents ?
5. What will be the cost of 10 yards of carpet at 85 cents per
yard ?
6. Paid $2.40 fpr 20 yards of gingham. What was the price
per yard ?
7. How many ounces are there in ten pounds and a half?
8. If a man receives $3 per day, how much will he earn in a
year, working 300 days ?
9. How many lots at six hundred dollars each can be bought
for thirty-six hundred dollars ?
10. I sold a lot for $600 and lost on it $200. What did it
cost me ?
REVIEW. 137
305. Blackboard Exercises.
Pupils should be taught to find products without always placing the mul-
tiplier under the multiplicand. The following examples in multiplication
and division should be worked by writing the answers on the slates directly
from the blackboard or the book without writing the other numbers.
MUL TIPLICA TION.
306. Find the cost of :
1. 196 lb. flour at 4 cents per lb.
2. 3 gal. alcohol at $2.75 per gal.
3. 144 hats at $ 3 each'.
4. 325 lb. sugar at 5 cents per lb.
5. 12 sofas at $45 each.
6. 165 bbl. cement at $2 per bbl.
7. 24 thousand bricks at $6 per thousand.
8. 37 spools thread at 5 cents each.
9. 3 houses, each costing $5,700.
10. 120 bushels wheat at 96 cents per bushel.
11. 11 tierces lard at $6.50 per tierce.
12. 6 hundredweight of straw at 72 cents per hundredweight.
13. 900 bushels oats at 36 cents per bushel.
14. 30 lots at $800 each.
15. 150 yards oilcloth at 30 cents per yard.
16. 20 horses at $ 175 each.
17. An ox, weighing 1,152 lb., at 4 ^ per lb.
18. 37 sheep at $4 each.
19. 250 acres land at $40 per acre.
20. 48 yards carpet at $1.20 per yard.
21. 187 packs fire-crackers at 5 ^ per pack.
22. 39 Roman candles at 20 cents each.
23. 60 overcoats at $37 each.
24. 5 wagons at $175 each.
25. 12 tons hay at $18.75 per ton.
138 ARITHMETIC.
DIVISION.
307r Find the cost of 1 pound, 1 gallon, 1 barrel, 1 spool,
1 thousand, etc. :
26. 96 lb. flour, $2.88.
27. 4 gal. alcohol, $10.40.
28. 72 hats, $144.
29. 31 lb. sugar, $1.24.
30. 16 sofas, $800.
31. 20 bbl. cement, $42.
32. 24 thousand bricks, $120.
33. 48 spools of thread, $1.92.
34. 4 houses, $26,000.
36. 25 bushels of wheat, $25.75.
36. 40tiercesof lard, $250.
37. 11 hundredweight of straw, $7.04.
38. 90 bushels of oats, $33.30.
39. 22 lots, $ 15,400.
40. 26 yards of oilcloth, $10.40.
41. 25 yards of oilcloth, $10.25.
42. 24 horses, $4,800.
43. 39 sheep, $ 195.
44. 72 acres of land, $2,160.
45. 75 yards of carpet, $82.50.
* 46. 36 packs of fire-crackers, $1.44.
47. 25 Roman candles, $5.
48. 30 overcoats, $1,050.
49. 14 wagons, $1,680.
50. 25 tons of hay, $300.
REVIEW. 139
308. Oral Problems.
1. Henry had 40 cents, James had 30 cents, William had 20
cents. How much money in all had the three boys?
2. Mary sold some vegetables for 30 cents and some flowers
for 60 cents. If she spent 40 cents for groceries, how much
money had she left ?
3. If a boy makes 20 cents a day selling morning papers and
10 cents a day selling evening papers, how much does he make
in 3 days?
4. A man Ijought a pound of 50-cent tea, and 2 dozen eggs at
20 cents a dozen. How many dimes will it take to pay for them ?
5. A furniture dealer sold a set of parlor furniture for $50
and a bed-room set for $30. If J of the cost of both is paid in
cash, how much cash does the dealer receive?
6. Francis had 80 cents. After spending 60 cents and earn-
ing 50 cents, how much had he?
7. A grocer had 90 pounds of sugar. He sold 50 pounds
and used in his family 20 pounds. How much had he then ?
8. A girl had 80 cents. She bought a doll for 40 cents and
spent the rest for candy at 20 cents per pound. How many
pounds did she buy ?
9. A farmer has 90 acres of land. Thirty acres are planted
In corn. One-third of the remainder is in wheat. How many
acres of wheat has he?
10. A coal-dealer had 50 tons of coal. He burned 30 tons
and sold the remainder at $4 per ton. How much money did he
receive ?
. 11. What will I have to. pay for 8 pounds of 5-cent sugar and
50 cents' worth of eggs ?
12. What will be the cost of 2 bags of meal, 100 pounds in
each bag, at 2 cents per pound ?
140 ARITHMETIC.
13. A woman buys 3 pounds of butter at 30 cents a pound.
She gives the grocer a 50-cent piece. How much more must she
pay?
14* A man sells 4 acres of land at $20 per acre, taking in
payment cows worth $40 each. How many cows does he get?
16. What will be the cost of 4 pieces of silk, 20 yards in a
piece, at $J per yard?
16. How much will I pay for 40 marbles, at 8 for 1 cent, and
a 25-cent ball ?
17. Half a dollar is divided among 5 boys. How many 5-cent
pieces does each receive ?
18. How many 4-pound packages of sugar at 5 cents a pound
can I get for 80 cents ?
19. A woman pays 80 cents for gingham at 20 cents per yard.
She buys one-fourth as many yards of ribbon. How many yards
of ribbon does she buy ?
20. A man worked 20 days for $80. If he spent $3 per day
how much a day did he save ?
21. What will I have to pay for J lb. of 80-cent tea and a
pound of 30-cent coflfee ?
22. A man owns f of a farm of 80 acres. How much has he
left after selling 40 acres ?
23. If 2 pigs are worth $40, how much are 3 worth?
24. A man had $60. He spent one-half of it for sheep at $3
each. How many sheep did he buy ?
26. Two boys divided 50 marbles equally. One of them gave
^ of his share to his sister. How many did she receive ?
26. A train goes 40 miles per hour. How long will it take to
go 480 miles ?
, 27. How many hours are there from half-past 8 in the fore-
noon to half-past 1 in the afternoon ?
EASY FRACTIONS. 141
HALVES, FOURTHS, AND EIGHTHS.
309. Oral Exercises.
!=? t=? |=? |=? |=?
I =? I =? } =? J =? ^ = ?
i+i l+i i+* f+l f+l
f+f *+i i+f i+l i+i
310. Slate Exercises.
Add:
1. 19^ 2. 181 3. 25| 4. 30| 5. 66^
27i 65i 6i 42f 24f
6. 34| 7. 27^ 8. 13^ 9. 49| 10. 71|
34f 10| _6| 20i Ui
14. 4J 15. 46|
12i 24
i If
n. H
12.
5i
13. 9^
2i
3i
6i
10^
\
16. 12|
8f
17.
23|
H
18. 4f
4|
4|
311. Subtract:
21. 10|
22.
20^
23. -301
19. 8| 20. 6|
3| 7|
3f 9|
24. 40^ 25. 50f
^ 7i ^^ loi 111
26. m\ 27. 60^ 28. 60^ 29. 60f
59| 50| 60f 50|
31. 98| 32. 80| . 33. 65| 34. 37|
89^601 24| 194
36. 564 37. 744 38. 8I4 39. 59|
254 74 62f 584
30.
60|
50|
36.
424
16|
40.
28^
9i
142 ARITHMETIC.
312. Beyiew. Slate ExeroiBes.
Note. — First perform the indicated operations on the quantities between
the marks of parenthesis.
41. 43 + 74 + 68 66. 42 X (84 -i- 21)
42. (85 + 39) -76 67. (8 X 24) X |
43. (25 + 33)x3i 68. (|x8)x24
44. (49 + 84)^-7 69. 8X(|X24)
45. } of (68 + 52) 60. (144 -^24) + 78
46. (40i-25) + 13J 61. (8,820 -42) --21
47. 156-(68J+17J) 62. 8,820 -^ (42 -f- 21)
48. (384-96)^72 63. J of (840 ^14)
49. I of (783 -248) 64. (J of 840) -^14
50. (789 - 65) X 24 65. (992 h- 32) -18
61. (65x13) + 155 66. (| of 84) + 144
52. (14 X 16) X 25 67. (f of 168) -99
53. 14 X (16x25) 68. (376 -f- 94) X 15
54. (18x13) -156 69. (| of 640) -5- 16
66. (42x63) -21 70. i of (I of 360)
313. Slate Problems.
1. A man bought J of a flock of 120 sheep for $150. How
much did each sheep cost him ?
2. John had 250 postage stamps. He gave away 64 and
lost 36. How many had he left ?
3. A farmer had 72 cows. How many had he after twenty-
five had died, and he had bought 15 ?
4. If 72 hats cost $288, how much will 4 hats cost?
5. A grocer sold 15 lb. 8 oz. of tea to one customer and 12
lb. 8 oz. to another. How much tea did he sell to both ?
REVIEW. 143
6. A boy had a piece of wire 4 yards long. He cut it up
into pieces 1 inch long. How many pieces were there ?
7. How much will a druggist receive for 2 gallons of cologne
at 80 cents a pint ?
8. How many boxes, each containing 8 ounces, will it take to
hold 20 pounds of candy ?
9. How many inches in 1 yard, 1 foot, 1 inch?
10. A boy had 20 dozen eggs to sell. If he broke ^ dozen on
the way to market, how many whole eggs would he have to sell?
11. A dealer bought 10 cows for $500. How much apiece
would he have to charge for them to gain $ 10 on each cow ?
12. A girl paid 90 cents for 6 packages of sugar, each contain-
ing 3 pounds.- How many cents per pound did the sugar cost ?
13. At 80 cents a pound, what will 3 ounces of tea cost?
14. A barrel of flour weighs 196 pounds. Find the cost of
one-half of it at 3 cents a pound.
15. A newsboy sold 54 papers at 3 cents each. If the papers
cost 95 cents, what is his profit ?
16. How many 7-pound packages can be made from J of a
barrel of flour, if there are 196 pounds of flour in a barrel ?
17. What will be the total cost of \ bbl. of flour at $6 per bbl.
and 2 pounds of tea at 75 ^ per lb.
18. A ton of hay weighs 2,000 pounds. If a man buys ^ ton,
how many pounds will he have left after using 250 pounds?
19. Five dozen collars are sold for $9.00. What is the price
of one collar ?
20. At 32 cents per pound, how much will be paid for 1
pound 7 ounces of butter ?
21. What will | of a yard of silk cost at the rate of $ 25.60 for
16 yards ?
144 ARITHMETIC.
22. A bag of coffee weighing 80 pounds is put into 20 packages.
If it is sold for $1.20 per package, what is the price per pound?
23. Four pieces of calico, each containing 30 yards, are used in
making 24 waists.' How many yards does it take to make a
waist ?
24. There are 24 pounds 8 ounces in a bag of flour. How
many pounds in 8 bags?
25. 3 yards 1 foot of wire are cut up into 6-inch pieces. How
many pieces are there ?
MULTIPLIERS ENDING WITH CIPHERS.
314. Oral Exercises.
100x3 = ? 100x6 = ? 100x10 = ?
100x7 = ? 100x9 = ? 100x11 = ?
315. Sight Exercises.
Give answers :
15 X 100 27 X 100 35 X 100 43 X 100
56 X 100 69 X 100 74 X 100 87 X 100
99 X 100 100 X 100 101 X 100 109 X 100
234 X 100 345 X 100 456 x 100 567 X 100
678 X 100 789 X 100 890 X 100 901 X 100
16x1,000 29x1,000 33x1,000 45x1,000
92x1,000 68x1,000 76x1,000 84x1,000
14 X 200 23 X 200 13 X 300 21 x 400
42 X 200 33 X 300 22 X 400 44 X 200
316. Slate Exercises^
1. 236 X 300 4. 69 x 700 7. 76 x 1,300
2. 178 X 400 6. 87 X 900 8. 65 x 1,400
3. 134 X 500 6. 82 X 1,200 9. 24 x 3,000
HALVES, THIRDS, AND SIXTHS. 145
10. 45 X 2,000 15. 38 X 2,500 20. 42 X 1,600
11. 37 X 2,400 16. 43 X 1,800 21. 187 x 510
12. 187 X 450 17. 27 X 3,100 22. 158 x 630
13. 98 X 1,000 18. 33x2,700 23. 97 X 840
14. 4 X 20,000 19. 62 X 1,500 24. 112 X 790
HALVES, THIRDS, AND SIXTHS
317. Oral Exerdses.
When a thing is divided into two equal parts, what is each
part called ?
What is each part called when a thing is divided into six equal
parts?
i i
<
Which is greater, one-half or one-sixth ? How many sixths of
a pie are there in half a pie ?
One-sixth of a foot is how many inches ? One-half of a foot is
how many inches ? How many sixths of a foot are there in one-
half of a foot? i = i?
One-half -f one-sixth = how many sixths ?
One-half -f two-sixths = how many sixths ?
One-half + three-sixths = how many sixths ?
One-half + four-sixths = how many sixths ?
One-half + five-sixths = how many sixths ?
146
ARITHMETIC.
One-third = how many sixths?
Two-thirds = how many sixths ?
One-half = how many sixths ?
Two-sixths = how many thirds ?
Three-sixths = what ? Four-sixths = what ?
€
i
i
i
*
One-half -f one-sixth = how many thirds ?
One-half + one-third = how mady sixths ?
One-third -f one-sixth = what ?
318. Sight Exercises.
Give answers :
i 4i
i
5i
1
n
+ i +i
+ i
+ i
+ i
+i
i
H
i
5i
1
4f
-i
-i
-i
-i
-i
-i
3f
61
i
8f
1
1|
+ i
-i
+ 1
-i
+ *
-f
EASY FBACTIONS. 147
319. Slate Ezeroises.
Add:
1. 4| 2- 5| 3. 6^ 4. lOf 6. 12f
8. 30J-
_6|
13. 6}
3.
18. 4i
6i
8f
6.
IH
5|
1.
63f
6.
^
1.
8i
6.
lot
320. !
1.
14i
5*
6.
IH
4i
1.
20
i
6.
27
18^
7.
18f
29i
12.
l^
70f
17.
5i
7*
9*
22.
IH
10*
i
27.
23i
I7f
50f
23. 5^
4*
J*
28. 8^
lOJ
12*
32. 24| 33. 16f
3* 9*
37.
2^
H
42.
30
1*
47.
38
9*
38.
m
m
43.
40
1|
9.
20f
2*
14.
20i
19*
19.
10*
10*
10*
24.
2*
*
1*
29.
6*
15*
21|
34.
28|
6*
39.
42|
26i
44.
50
2f
49.
54
»
46ir
10.
29*
16*
16.
41*
6*
20.
H
12*
26.
90f
30.
49^
22f
16*
36.
12f
7*
40.
57f
40^
46.
60^
10*
48. 49 49. 54 60. 87
27i ■ ■ 46,V 8H
148 ARITHMETIC.
LONG DIVISION DRILLS.
„ Give quotients at sight. Omit remainders when there
are any.
160-^20 360^60 460^90 300-^-60 270^30
240-^30 490^70 560-^-80 360-^40 200^40
280 -4- 40 . 720 ^ 80 350 ^ 70 210 -^ 30 360 ^ 50
450^50 360^90 540-^60 180^20 420-^60
160-^19 360-^59 450^89 300-^49 270-4-29
240 H- 29 490-4-69 560-4-79 360-^-39 200^39
280 -f- 39 720 -h 79 ' 350 ^ 69 210 ^ 29 350 -4- 49
450-4-49 360-4-89 540-4-59 180-4-19 420 -f- 59
160 -f- 21 360-4-61 450^91 300-4-51 270-1-31
240^31 490-4-71 560^81 360-4-41 200-^41
280^41 720-4-81 350^71 210^31 350 -f- 51
450-^51 360^91 540-4-61 180^21 420-4-61
449-5-90 251-^49 149-^-21 324^62 546-4-88
641-1-80 242-5-39 269-4-31 583-4-72 721 -f- 78
559-4-70 271^29 364-^-41 672^82 351-4-68
359-4-60 143 -f- 19 368-4-51 846-4-92 482-4-58
301-4-43 192-4-24 585-^65 819 -f- 86 423-4-47
231-5-33 270-4-34 748-4-75 325 -f- 76 296-4-37
184-4-23 351-4-44 757^85 396-^66 243-4-27
120 -f- 13 432-4-54 628-4-95 392-5-56 130-4-17
LONG DIVISION.
149
322. Slate Exercises.
Divide :
756
810
864
918
968
736 -^ 23
576 -^ 24
858 -^ 26
1,024 H- 32
1,485 -f- 33
1,536-^34
1,575 -f- 35
14
15
16
17
22
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13. 1,806-^42
14. 2,408 -^- 43
16. 2,860 H- 44
16. 3,510^45
17. 4,212 -f- 52
18. 4,558-^53
19. 4,428 H- 54
20. 3,630-5-55
21. 4,464^62
22. 5,544-^63
23. 7,872-^64
24. 8,970 -f- 65
26. 5,544-^72
26. 9,709 -f- 73
27. 2,738-^74
28. 5,775-^75
29. 9,430 -f- 82
30. 8,051 H- 83
31. 7,212 -H 84
32. 8,262-4-85
33. 8,464-^92
34. 6,055
36. 6,392
36. 9,025
37. 2,717
38. 9,738
39. 8,856
40. 6,048
41. 8,816
42. 9,756
43. 2,738
44. 5,434
46. 8,034
46. 8,464
47. 6,392
48. 5,184
49. 9,996
50. 9,072
51. 8,151
52. 8,816
63. 4,956
64. 9.450
66. 8,241
56. 9,216
57. 6,624
68. 9,234
59. 9,702
60. 8,034
61. 8,611
62. 9,632
63. 9,309
64. 8,580
66. 7,941
66. 5,184
93
94
95
19
18
27
28
29
36
37
38
39
46
47
48
49
56
57
58
59
66
67
68
69
76
77
78
79
86
87
88
89
96
67. 9,409 H- 97
68. 9,996-5-98
69. 9,108 -f- 99
70. 9,450 H- 27
71. 8,356^36
72. 4,880-^45
73. 9,428-4-54
74. 8,763-^63
76. 9,804-^72
76. 9,716^81
77. 8,429 -f- 64
78. 4,832^56
79. 5,784 -f- 48
80. 6,609-^32
81. 8,515 -f- 28
82. 7,218-^35
83. 9,843-^42
84. 8,764-^49
86. 7,349-5-63
86. 6,528 -f- 54
87. 9,609-^24
88. 8,735-^16
89. 9,999-5-18
90. 8,875-^25
91. 5,005-^55
92. 9,230-^65
93. 8,475^75
94. 9,600 -f- 85
96. 8,325 -f- 95
96. 4,984 H- 96
97. 9,518-^92
98. 9,030 -f- 88
99. 8,000-^77
150 ARITHMETIC.
DIVISORS ENDING WITH CIPHERS.
323. Oral ExerdBes.
Divide :
900 by 100 1,000 by 10 1,100 by 100 1,200 by 100
16x100 = ? 1,600-^100 = ? 25x100 = ? 2,500-^100=?
How do we multiply a number by 100? How can we divide
by 100 a number that ends with two ciphers ?
324. Sight Exercises.
Give answers :
2,800-4-100 9,000 -J- 100 7,200 -^ 100 12,900 -f- 100
3,600 ^ 100 5,900 -^ 100 8,700 ^ 100 18,700 -f- 100
4,500^100 6,100^100 13,500^100 20,000-^100
2,800-^-200 1,200^600 66,000-5-11,000
3,600 -5- 300 2,100 -^ 700 39,000 ^ 13,000
3,200 -4- 400 4,000 h- 800 48,000 -^ 12,000
2,500 -4- 500 6,300 -^ 900 28,000 h- 14,000
325. Slate Exercises.
Divide 87,600 by 600.
600 )87600 Strike out the same number of ciphers in
146 quotient. divisor and dividend.
1. 40,800 -^ 300 5. 78,300 -f- 900 9. 60,000 -f- 2,400
2. 12,800^400 6. 90,000^1,200 10. 98,000^ 2,000
3. 17,000^500 7. 72,000 -f- 3,000 11. 87,000^ 1,000
4. 85,400-700 8. 91,000^1,400 12. 80,000-^20,000
EXAl^INATION QUESTIONS. 151
326. Sight Exercises.
Give answers :
1. 806-^100 6. 2,856 -f- 700 11. 2,817^1,400
2. 806^200 7. 3,025 -f- 500 12. 7,709 -^- 1,100
3. 806-^400 8. 4,050-^800 13. 4,235 -^- 2,100
4. 2,036-^400 9. 3,675-1-600 14. 6,005-^-1,200
6. 1,896-^300 10. 2,719 H- 900 15. 9,393^3,100
327. 9,637 -s- 300 19,575 -f- 1,600
3|00 ) 96|37 12jy^
32^ 16100)1951 75
16_
8,975 ^ 200 35
2|00 )89|75 §2
328. Slate Exercises.
1. 40,890-^-300 6. 72,194^ 800
2. 37,295-^400 7. 83,416^ 900
3. 59,532-^500 8. 88,635^1,100
4. 64,380^600 9. 98,320-4-1,200
6. 62,700-^700 10. 11,002^1,300
329. Philadelphia Public Schools. — Oral Work.
1. 6-f-7-)-94-8-M5 3. 49-f-7 — 9
2. 24-9-f8-M2-20 4. (|of30)-fl6
5. 12 times 7 9. How many 8'8 in 72 ?
6. 7 times 9 10. In 56 are how many 9's?
7. 3 times 25 11. How many 12's in 77?
8. 7 X ? = 63 12. (48 -^ 12) X 20
152 ABITHMETIC. .
13. How many quarts are in 2 bushels?
1 bushel = 32 quarts.
14. In 16 pints are how many gallons?
16. 4 pecks and 2 quarts = quarts ?
1 peck = 8 quarts.
16. -J- of a yard = inches ?
17. 72 buttons = dozen?
18. 3 pounds = ounces ?
19. Show the pupils a bucket and ask them to tell (approxi-
mately) how many gallons it could hold.
20. If 3 pounds of soap cost 30 cents, how much do 8 pounds
cost?
330. Written Work.
1. "Write in figures — nine hundred eighteen, six thousand
twelve, seven hundred six, eight thousand fifty.
2. From 4,132 take 349.
3. Add 48; 765; 56; 3,067^ 84;. 4,567.
4. Multiply 96 by 78.
5. Divide 3,020 by 9.
6. A lot of ground cost $750, and the house built on it cost
three times as much. What did both cost ?
7. If a drover pays $3,675 for forty-nine horses, how much
would fifty horses cost at the same rate ?
8. A boy skated in a circle that was 20 feet across, and about
three times as far around. About how many feet would he skate
in going twice around the circle and twice across it ? Draw a
diagram to explain your work.
33L Massachusetts Oivil Service Examination. — Draw-Tender of
Bridges.
1. Write in figures the following number:
One thousand five hundred sixty-three dollars and fourteen
cents.
EXAMINATION QUESTIONS. 163
2. Write in words the number expressed by the following
*g'^'^«« = 14,368.
3. Add the following column of figures :
792
3,467
1,823
119
427
2,336
4. From 21,315 take 19,678.
6. Divide 4,968 by 23.
6. Multiply 726 by 54.
332. Prison Service.
1. Write in figures the following numbers :
Two thousand seven hundred forty-two.
Six hundred seventy dollars and three cents.
2. Write in words the numbers expressed by the following
figures: 3,^42
$693.51
3. Add the following column of figures :
375
2,146
1,989
2,432
867
1,233
4. From 27,321 subtract 18,465.
5. Divide 1,554 by 42.
6. Multiply 305 by 46.
7. If a man works twenty-six days at two dollars and twenty-
five cents per day, how much money will he earn ?
164 ARITHMETIC.
THIRDS AND NINTHS.
333. Oral Exercises.
■
When a thing is divided into nine equal parts, each part is
called a ninth.
wamm i
y ^M^ M^w ^^y W^ ^
One-third of a yard contains how many inches ? How many
inches in one-ninth of a yard? One-third = how many ninths?
Two-thirds = how many ninths ? One-third and one-ninth = how
many ninths ?
One-third -f one-ninth = how many ninths?
One-third -f two-ninths = how many ninths ?
One-third + four-ninths = how many ninths ?
One-third + five-ninths = how many ninths ?
One-third + seven-ninths = how many ninths?
One-third -f- eight-ninths = how many ninths ?
2 thirds + 1 ninth = how many 9ths ?
2 thirds -\- 2 ninths = how many 9ths ?
thirds -f 4 ninths = how many 9ths ?
thirds -f 5 ninths = how many 9ths ?
thirds -f 7 ninths = how many 9ths ?
thirds -\- 8 ninths = how many 9ths ?
2
2
2
THIRDS AND NINTHS. 165
334. Slate Exercises.
Add:
1. 18^ 2. 27i 8. 16^ 4. S3| 6. 66}
10. 6^
30|
15. 25f
_lf
20. 8|
26i
21. 1^ 22. 6} 23. 13^ 24. 6f 25. lO^
2} 4 8J 21^ 10|
26. 2^ 27. 4 28. 7^ 29. 10^ 30. 17^
^ ^ 91 bi 20|
^ ^ Hi i 15i
t Subtract:
31. 6f 32. 30J 33. 27|. 34. 93f 35. 77|
3f 4| 6i 89i 33i
6.
42i
57|
11.
95|
^
16.
37i
5*
7.
63*
5*
12.
5*
17|
17.
49f
4i
22.
6f
5*
llf
8.
75i
19|
13.
37i
^
18.
m
IH
23.
13*
8J
1
28.
H
91
111
9.
87|
H
14.
14i
55f
19.
53|
29f
24.
^
21|
3f
29.
lOi
5*
1
36.
77|
66i
41.
50
9i
37.
10
H
42.
60
11*
47.
27i
i
38.
20
43.
70
13^
48.
32i
15i
46. 99 47. 27| 48. 32^ 49. 33* 60. 87f
19* i 15* 4* 25i
39.
30
5*
44.
80
15*
49.
33i
H
40.
40
7i
46.
90
17|
156
ARITHMETIC.
SPECIAL DRILLS,
336. Give sums :
•
30 + 80
300 + 600
130+ 60
275+ 10
70 + 60
20 + 90
500 + 400
240+ 30
183+ 9
80 + 90
80 + 70
200 + 700
370+ 20
672+ 8
60 + 50
90 + 50
400 + 300
410+ 80
477+ 7
90 + 70
337. Give differences:
150-90
900 600
190 - 130
285 10
100 - 30
160 70
800 - 300
270 40
192 - 183
170-80
140 60
700-400
390 360
670 8
130 - 60
120 - 50
600 200
450- 20
484 - 477
110-20
338. Give products :
30x8
200x4
60x7
90x|
111x5
20x9
300x3
80x2
80 xf
222x4
40x4
400x2
90x5
60 x|
333x3
70x3
200x3
50x6
70x^f
444x2
339. Give quotients:
240 : 8
240^30
800 -!- 400
800 : 2
666 ^ 111
180 : 9
180 : 20
900 : 300
900 : 3
999 : 3
160 : 4
160 : 40
800 : 200
800 : 4
888 -H 222
210 : 3
210 -i- 70
600 : 300
600 : 2
777 : 7
340. Give results :
i+*
i-i
60xli
l^i
|.of50
i+i
\-\
60xli
2-^i
fofSO
i+i
\-\
60 xH
3^i
|of90
i+i
i-i
60x1^
4-^i
f ofSO
MULTIPLICATION AND DIVISION. 167
MULTIPLIERS OF MORE THAN TWO FIGURES.
341. Multiply 249 by 397.
249
First multiply by 7, placing the first figure of the product under nQtj
the 7 of the multiplier. Then multiply by 9, placing the first — - —
figure of the product under the 9 of the multiplier. Next, multiply ooi i
by 3, placing the first figure of the product under the 3 of the 7^7
multiplier. Draw a line, and add.
342. Multiply:
1. 426 by 234 14. 536 by 148
2. 697 by 123 16. 824 by 111
3. 347 by 276 16. 379 by 254
4. 702 by 135 17. 695 by 136
6. 615 by 153 18. 354 by 267
6. 383 by 234 19. 726 by 126
7. 723 by 134 20. 724 by 129
8. 806 by 119 21. 815 by 118
9. 809 by 123 22. 276 by 333
10. 519 by 176 23. 271 by 329
11. 352 by 246 24. 568 by 154
12. 495 by 196 25. 808 by 121
13. 634 by 148 26. 241 by 398
343. Divide:
27. 8,643 by 201 32. 7,891 by 607
28. 7,956 by 102 33. 9,884 by 706
29. 9,696 by 303 34. 9,684 by 807
30. 9,720 by 405 35. 9,988 by 908
31. 7,056 by 504 36. 8,199 by 911
98853
158 ARITHMETIC.
37. 6,496 by 812 44. 9,225 by 123
38. 9,269 by 713 45. 7,826 by 222
39. 9,210 by 614 46. 7,326 by 333
40. 6,708 by 516 47. 9,872 by 1,234
41. 9,960 by 415 48. 9,380 by 2,345
42. 7,291 by 317 49. 8,142 by 1,357
43. 9,810 by 218 60. 9,872 by 2,468
344. Multiply 456 by 209.
456
Place, as before, the first (units') figure of the product by 9 209
under the 9 of the multiplier, and the first figure of the product by 4104
2 under the 2 of the multiplier. 912
95304
346. Multiply:
Note. — Either number may be taken as the multiplier.
61.
635 by 108
63.
483 by 203
62.
903 by 107
64.
704 by 123
53.
959 by 101
65.
401 by 245
54.
691 by 140
66.
351 by 204
55.
772 by 120
67.
907 by 110
66.
827 by 103
68.
499 by 198
67.
271 by 306
69.
68 by 1,203
68.
314 by 206
70.
47 by 2,023
59.
724 by 105
71.
2,005 by 49
60.
808 by 121
72.
49 by 2,005
61.
128 by 709
73.
131 by 706
62.
Q'^l by 105
74.
368 by 204
REVIEW. 159
Find products :
75. 64 X If 83. 21 X 4^ 91. 9 X m
76. 42 X 2^ 84. 27 X 3f 92. 20 X lOJ
77. 27x3| 86. 36 X 5^ 93. 20 X 12f
78. 56xlf 86. 35 X ^ 94. 30 X 10|
79. 24 X 2| 87. 64 X 3| 96. 40 X 11|
80. 18 X ^ 88. 48 X 7| 96. 50 X 13J
81. 32x5J 89. 45x 6| 97. 60x14}
82. 40 X 2f 90. 8 X 12^ 98. 40 X 15f
CHAPTER V.
MULTIPnEES AND DIVISOES OF THEEE OE MOEE PIGTJEES.
— ADDITION AND SUBTEAOTION OF EASY FEAOTIONS.
— MULTIPUOATION BY A MIXED NUMBEE. — EASY
DENOMINATE NUMBEES.
MUL TIPLICA TION.
347. Multiply 48 by 26|.
48 To multiply by f , we can find one-fourth, and multiply the
OA8 result by 3.
* Jof48i8l2 }of 48 = 12x3 = 36
4 )144
oa It will generally be found better to multiply first and then to
OQQ divide.
288 48 X 3 = 144 } of 144 = 36
96
The units' figure of the product by 6 is placed under the 6.
l/Ky± "pjjg £j.gt; figure of the product by 2 is placed under the 2.
126 248 375
84| 130| 206f
3 )252 8 )1736 4)1125
84 217 281^
504 744 2250
1008 248 750
10,668 32,457 77,531J
348. Multiply:
1. 27x13^ 5. 75x23| 9. 328 X 45f
2. 36x31J 6. 64x43f 10. 468 x 83|
3. 48xl6| 7. 126x18^ 11. 295 X 75|
4. 32x37| 8. 252x63f 12. 154x28^
1^0
LONG DIVISION.
161
13. 198
14. 540
15. 770
16. 720
17. 1,236
18. 2,484
19. 1,278
20. 1,456
21. 336
22. 448
23. 972
24. 1,024
25. 240
X33|
X44,3^
X563V
X6S^
Xl^
X24f
x66|
X56|
X20^
X30i
X40f
X50f
X60J
26. 360
27. 630
28. 720
29. 840
30. 960
31. 660
32. 234
33. 176
34. 324
35. 235
36. 576
37. 25
38. 47
X 70|
X 80*
X 90|-
xIOOt^
xlOO^^
X 120^2^
Xl30i
X240f
X330^
X410|
Xl60|
X 13f
X 14i
349. Slate
62. 88,851-^
53. 97,712-^
54. 98,605-^
55. 81,600-^
56. 99,003-^
57. 99,755^
58. 99,954^
59. 94,185 H-
60. 73,760 -H
61. 87,978 -H
62. 89,262 -f-
63. 91,520-^
64. 99,180^
65. 92,220 -H
66. 98,294 -H
67. 94,685 H-
68. 91,607-^
LONG DIVISION.
Exercises.
21 69. 87,963^109
70. 98,172-^202
71. 98,475-^303
72. 99,788-^-404
73. 95,445-^-505
74. 93,930-^-606
75. 97,566^-707
76. 99,384-^808
31
41
51
61
71
81
91
32
43
54
65
76
87
98
29
101
77. 99,081-^909
78. 86,478-^213
79. 99,792^324
80. 88,305-4-435
81. 92,820-4-546
82. 95,922-4-657
83. 94,464^768
84. 90,195-4-859
85. 99,944-^961
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49
51
50
69
76
85
127
253
987
876
49. 1,370
50. 620
51. 250
X 25i
X 37t
X 33f
X 41f
X 24|
X • 53|
X 49^
X 84f
X 40|
X 50|
X 30^
X160J
X260|
86.
87.
88.
89.
90.
91.
92.
93.
94.
95.
96.
97.
98.
99.
100.
101.
102.
98,196
96,048
99,066
96,072
95,076
96,080
98,084
96,084
99,088
98,196
95,961
92,550
77,385
79,488
91,827
81,216
98,760
1,002
2,001
3,002
4,003
5,004
6,005
7,006
8,007
9,008
1,002
1,103
1,234
2,345
3,456
10.203
20,304
12,345
162 ARITHMETIC.
SPECIAL DRILLS.
350. Give sums :
56 + 17 48 + 19 67 + 17 76 + 15 59 + 17
13+78 18 + 42 14 + 36 18 + 56 18 + 45
25 + 16 65 + 15 26 + 16 48 + 12 34 + 19
18 + 25 14+18 13 + 29 29 + 15 18 + 27
Give differences:
66-19 41-25 80-65 67-19* 42-29
56-39 90-19 50-14 60-48 32-14
60-12 67-48 94-76 41-16 91-78
66-47 80-15 60-18 84-67 94-18
L Give products :
13x4 5x15 14x6 8x81 18x4
19x5 4x19 31x7 7x14 16x5
24x4 5x17 90x8 6x16 15x6
15x3 4x23 14x3 5x18 13x7
1. Give quotients :
42^3 42-^14 279^31 92-h23 60-5-4
91-^7 78-^-13 427-^61 78-^26 98^7
56-^4 75^15 205-^41 56^28 70-^5
90^6 90-18 568^71 81^27 48-^3
354. Give remainders :
4 -3i 20 -19i 8J-5i \^-l^ 16f- 3i
25f-5i 80 - J 60 - i 40 - f 80 - li
60-4 40 - If 40 -2f 40 - 3f 40 - lOf
REVIEW. 163
355. Oral Frdblems.
1. If 3 yd. cambric cost 63 cents, what will be the cost of
4 yd.?
2. How much will I have to pay for 12 pounds of 6-cent
sugar and a 15-cent bar of soap?
3. How many quarts of milk in 24 gallons?
4. A piece of cloth measures 45 feet. How many yards does
it contain?
5. At 5 cents per ounce, what will be the cost of a pound of
cinnamon ?
6. Bought 6 pounds of 6-cent sugar. How much change
from a half-dollar ?
7. Gave five dollars in payment for 9 yd. silk, at 60 cents a
yard. How much do I still owe ?
8. If i lb. of candy costs 10 cents, how much must I pay for
41b.?
9. Gave -J of a pie to John, and ^ to Daniel. How much of
the pie remained?
10. I divided 3 apples into quarters. How many pieces did I
make?
11. What will be the total cost of three 50-cent balls and five
10-cent bats ?
12. A conductor charges 84 cents fare for a ride of 28 miles.
What is the rate per mile ?
13. How many feet have 15 hens and 10 dogs ?
14. Paid 15 cents for a quart of syrup. What is the price per
gallon ?
15. How much is received for a bushel of potatoes sold @ 15^
per -J- peck? (1 bushel = 4 pecks.)
16. I paid 21 cents for sugar, 15 cents for cofiee, and 30 cents
for tea. How much did I pay for all ?
164 ARITHMETIC.
17. What will be the cost of 4 poands of cheese, at 18 cents
per pound ?
18. When eggs are selling for 30 cents per dozen, how many
eggs can be bought for 90 cents?
19. If a bushel of wheat weighs 60 pounds, how many bushels
are there in 540 pounds of wheat ?
20. A dealer paid $ 96 for 16 sheep. What waa the price of
one sheep ?
21. A boy had 35 postage stamps, and bought 16 more. How
many had he then ?
22. Find the cost of 36 two-cent stamps. *
23. When muslin is 5 cents a yard, how many yards can be
bought for 80 cents ? .
24. A store-keeper sold from a 10-pound box of candy ^ lb. to
one customer, and f lb. to another. How much candy remained?
25. A boy pays 15 cents for 3 quarters of a pie. What is the
cost of 1 quarter ? How much does the whole pie cost ?
356. Slate Problems.
1. Paid $5.25 for 3 yards of silk. What will be the cost of
4 yards?
2. I bought 27 lb. of 6-ct. sugar, and 8 bars of soap at Ib^
per bar. What is my bill ?
3. How many pints of milk in 24 gallons?
4. A piece of cloth measures 720 inches. How many yards
does it contain ?
5. At 3 cents per ounce, what would be the coat of 5 pounds
of pepper ?
6. Bought 16 pounds of 60-cent tea. How much change
do I get from a $ 10 bill ?
REVIEW. 166
7. Grave $25 in payment for 16 yards of silk, at $ If per yard.
How much do I still owe ?
8. If i yard of cloth costs 75 cents, what is the cost of 1^
yards ?
9. A piece of linen measures 12J yards. How much will be
left after selling 5J- yards and 4J yards ?
10. How many quarters in $27?
11. What will be the cost of 4 coats at $15 each, and 5 hats
at $2.50 each?
12. Two towns are 150 miles apart. If the fare is $4.60,
what is the rate per mile?
13. How many feet have 17 hens and 13 dogs?
14. Paid 15 cents for a quart of molasses, what would be
the cost, at the same rate, of 13 gallons ?
15. How much is received for a barrel of potatoes, containing
3 bushels, sold at the rate of 10 cents per half-peck ?
16. Find the cost of 7^ lb. of sugar at 6 cents per pound, 1\
lb. coffee at 28 ^ per pound, and \ lb. of 60-cent tea.
17. How much must be paid for 24f yd. of muslin at 4 cents
per yard ?
18. When eggs are worth 25 cents per dozen, how many eggs
can be bought for $ 1 ? For $3 ?
19. A bushel of corn weighs 56 pounds. How many bushels
are there in a load weighing 2,240 pounds ?
20. A farmer pays $1,500 for 25 cows. What is the price of
a cow?
21. A boy had 276 butterflies after 137 had been destroyed.
How many had he at first ?
22. Find the total cost of 18 one-cent stamps, 13 two-cent
stamps, 10 three-cent stamps, and 5 five-cent stamps.
160 ARITHMJETir.
23. When muslin is 5 cents a jard, how many yards can be
bought for f 6|^?
24. From a farm of 100 acres, 75f acres and 16^ acres were
sold. How many acres remain ?
25. I paid $5.25 for 3 quarters of a yard of velvet. What
was the cost of 1 quarter of a yard ?
MUL TIPLICA TION.
3S7. Slate EzarciaeB.
Use either number as a multiplier.
1.
3,976 X 23
18.
126 X
H
35.
105 X 589
2.
3,456 X 25'
19.
162 X
^
36.
166 X 597
3.
2,879 X 34
20.
168 X
H
37.
158 X 612
4.
2.508 X 36
21.
105 X
n
38.
149 X 624
5.
1,987 X 45
22.
108 X
8i
39.
137 X 723
6.
1,893 X 47
23.
120 X
H
40.
127 X 735
7.
1,593 X 56
24.
136 X
H
41.
116 X 834
P.
1,427 X 58
25.
48x
lOJ
42.
105 X 846
9.
1,488 X 67
26.
72 X
m
43.
103 X 967
10.
1,060 X 69
27.
768 X
125
44.
101 X 985
11.
1,059 >? 78
28.
779 X
128
45.
64 X 31i
12.
1,190 X 84
29.
367 X
264
46.
63 X 44t
13.
1,097 X 89
30.
388 X
256
47.
128 X 187^
14.
1,036 X 93
31.
218 X
356
48.
112x218i
15.
96 X IJ
32.
306 X
325
49.
297 X 333^
16.
80 X 2^
33.
209 X
478
50.
144 X 666|
17.
108 X ^
34.
207 X
463
51.
108x750f
ADDITION AND SUBTRACTION. 167
MIXED NUMBERS.
358. Beview. Sight Exercises.
1. 4f 2. 3f 3. 4^ 4. 1\ 6. 8f
6.
1.
16. 6^
+ 3f
21.
-^
26.
3
-2f
31.
5
36.
3
-1*
7.
7f
-51
12.
17.
+^
22.
8
-4f
27.
6
32.
7
-2f
37.
27
+ 3f
8.
H
- 3i
13.
5f
+ 6i
18.
9*
+ 1|
23.
7
- 2i
28.
12
-llf
33.
9
- 3^
38.
6i
+ 5i
9.
n
+ 5|
14.
3i
19.
3i
+ 6f
24.
9
-4f
29.
2
- 1
34.
6
-^
39.
3|
+ 1*
7.
37f
9|
12.
75i
6i
9i
10.
4f
-3^
15.
2f
+ 9|
20.
10
-H
26.
1
- \
30.
4
-1*
36.
8
-5*
40.
n
+ll
359. Slate Exercises.
Add:
1. 66f 2. 83f 3. 64^ 4. 87| 5. 66|
72^ _9i 15f lOi Jf
6. 13J 7. 37f 8. 954- 9. 67| 10. 44f
14f 9| Z\ \^ 63^
11. 57f 12. 75J 13. ^ 14. 23J 15. 6|
5| 6i 29i 8i 15|
4 9f 65i 6i 3|
168
ARITHMETIC.
16. 75|
i
17. 72i
5f
.^6
360. Subtract:
21. 70^ 22. 37|
9f
^
26.
77|
8|
31.
27i
m
36.
15
Si
18. 26|
m
23. 45f
19. 50J
27i
20. 3^
211
24. 59
2^
27. 59f
29i
32. l&l
lOi
37. 44
19i
28. 90^
3.
33. 37
18|
38. 96
77i
29.
65
64J
34.
79
35J
39.
56
2&J
25. 63f
3
30. SOJ
35. 23
lOi
40. 82
41*
361. Slate Exercises.
Divide :
1. 60,000-
h21
17.
18,589 -
1-102
33.
20,998 -
h 813
2. 97,168-
1-31
18.
89,629 -
h207
34.
36,533 -
-r- 912
3. 50,239-
^-41
19.
46,187 -
^-301
35.
30,308 -
h 1,009
4. 82,767-
^-51
20.
35,168-
^-408
36.
76,536 -
h 2,008
5. 60,396-
^61
21.
91,074-
h503
37.
15,630-
h 3,007
6. 38,268-
h71
22.
68,615-
^-604
38.
51,238-
'^ 4,006
7. 57,831-
f-81
23.
73,490-
h705
39.
98,592 -
h 5,005
8. 25,691-
^91
24.
90,296 -
^-809
40.
86,833 -.
h 6,004
9. 54,004-
^33
25.
63,630 -
^906
41.
17,584 H
- 7,003
10. 49,165-
^-25
26.
79,412-
h-112
42.
56,773-
h 8,002
11. 42,177 H
-52
27.
48,000 H
-219
43.
35,445 H
- 9,001
12. 33,868-=
-43
28.
42,057 H
-318
44.
21,506 H
- 1,234
13. 35,409-
-74
29.
17,691 -.
-417
45.
39,706 -.
- 13,235
14. 13,776-5
-62
30.
94,337 -1
-516
46.
92,698 -
h 23,174
15. 25,692-1
-92
31.
96,693 -i
-615
47.
71,028-
'r- 11,838
16. 60,512-^
-85
32.
35,361 H
-714
48.
48,615 -
h 16,205
KEVIEW. 169
362. Oral Problems.
1. A woman paid 46 cents for 2 yards of dress material.
How many yards could she buy for 69 cents?
2. A girl bad ^ yard of ribbon. After using -J- yard for a
bow, how much had she left ?
3. How many inches in |- yd. ?
4. Find the cost of 2 lb. coffee at 20 cents per pound and
J lb. of 80-cent tea.
6. If the cost of two-thirds of a yard of silk is 60 cents, what
is the cost of one-third of a yard ?
6. How much must be paid for 1 yard, 1 foot, and 1 inch of
wire at 1 cent an inch ?
7. When candy is worth 40 cents a pound, how much can be
bought for 60 cents?
8. A grocer puts up a pound and a half of tea into quarter-
pound packages. How many packages are there ?
9. How many pints are there in -J of a gallon ?
10. Out of a flock of 75 sheep, 58 were sold. How many
remain ?
11. A girl gave a half-dollar in payment for a 15-cent doll.
How much change did she receive ?
12. When syrup costs 48 cents a gallon, find the total cost of
a gallon, a quart, and a pint.
13. How many days will 10^ pounds of butter last if -J- pound
is used each day ?
14. How many gallons in 360 quarts?
15. How many pounds and ounces of tea will remain in a 10-
pound package after 3 pounds 5 ounces have been sold?
170 AKITHMETIC.
363. Btj Measiue.
8 quarts (qt.) 1 peck (pk.)
4 pecks 1 bushel (bu.)
16. How many quarts in •}- bushel?
17. How many bushels in 64 quarts?
18. How many pecks are there in a barrel containing 2^
bushels?
19. At 5 cents per quart, what would be the cost of a bushel
of chestnuts ?
20. How many cents in |^ of a dollar?
21. What will be the cost of a half dozen oranges at the rate
of 2 oranges for 3 cents ?
22. When butter is worth 16 cents a half pound, how much
should be paid for 11 ounces ?
23. If 3 pounds of sugar cost 18 cents, how many pounds can
be bought for 72 cents?
24. Five men can do a piece of work in 15 days. How long
would it take one man to do the same wdrk?
26. When muslin costs 8 cents a yard, what part of a yard
can be bought for 2 cents ? For 4 cents ? 6 cents ? 7 cents ?
364. Slate Froblemg.
1. A barrel of flour contains 196 pounds. How many barrels
can be filled from 6,076 pounds of flour?
2. From a piece of cloth containing 45^ yards there are sold
1A\, 13J, and 12J- yards. How many yards remain ?
3. How many inches are there in lOf yards ?
UEVIKW.
171
Hyd.
cost«?
J4yd.
C08t=?
J4yd.
cost«?
4. A woman spends a dollar for 6^ yards of calico at 8 cents
a yard, and some ribbon at 32 cents a yard. How much ribbon
did she buy ?
One yard
6. A storekeeper i 1 1 r j
charges 75 cents for 3 ^-^-^ ^^^ ^^ ^^ '
quarters of a yard of
silk. How much does
he charge for each quarter of a yard ? What is the price per
yard ?
6. A grocer sells a pound print of
butter and a half of a pound print for
48 cents. How much does the half-
pound print cost?
7. Find the amount paid for 1 yard, 1 foot, 1 inch of ribbon
at 72 cents per yard.
8. When candy is worth 20 cents a half pound, how much
can be bought for $1.40?
9. How many pints are there in 4|- gallons?
10. Seventy-five sheep remain in a flock after 29 are killed
and 41 are sold. How many sheep were in the flock ?
11. A girl gave a $5-bill in payment for four 75-cent dolls.
How much change did she receive ?
12. When milk costs 24 cents a gallon, find the cost of 3 gal-
lons, 3 quarts, and 1 pint.
13. How many weeks will 21 pounds of butter last if ^ pound
is used each day ?
14. How many gallons in 280 pints ?
16. From a 40-pound box of tea 29 lb. 11 oz. have been sold.
How many pounds and ounces remain ?
16. How much does a grocer receive for a barrel of potatoes
containing 2^ bushels, which he sells for 5 ^ a quarter of a peck ?
172 ARITHMETIC.
17. Find the weight of 1 bu. 1 pk. 1 qt. of oats that weigh
32 pounds to the bushel.
18. What will be the cost of 240 pounds of wheat at 90 cents
per bushel of 60 pounds?
19. Fifteen men finish a piece of work in 10 days, ilow long
would it take 1 man ? How long would it take 50 men ?
20. Chestnuts are bought at $1.16 a bushel. How much is
gained on a bushel by selling them at 10 cents a quart ?
21. A farmer raised 57f bushels of wheat. He used 10 J
bushels for flour and kept 8J bushels for seed. How much did
he receive for the remainder at $ 1 per bushel ?
22. Find the cost of 12 overcoats at $18.75 each.
23. I paid $54 for 2 dozen hats. What did the hats cost
apiece ?
24. A tub of butter weighs, with the tub, 42f lb. The tub
weighs SJ- lb. How much is the butter worth at 24 cents per lb. ?
25. Find the loss on 12 cows bought for $700 and sold at $55
each.
NOTATION AND NUMERATION.
365. Write in figures :
One hundred thousand. Two hundred thousand. Three hun-
dred thousand. Four hundred thousand. Five hundred thousand.
Six hundred thousand. Seven hundred thousand. Eight hun-
dred thousand. Nine hundred thousand.
366. Eead the following :
1. 100,000 4. 405,600 7. 756,400
2. 200,350 5. 550,000 8. 864,370
3. 304,000 6. 675,000 9. 999,999
NOTATION AND NUMERATION. 173
367. Write in figures :
1. Eight thousand, three hundred twenty-five.
2. Eighty-eight thousand, three hundred twenty-five.
3. Eight hundred eighty-eight thousand, three hundred
twenty-five.
4. Six hundred seven thousand, four hundred eleven.
6. Eight hundred sixty thousand, eighty-six.
6. Seven hundred nine.
7. Four hundred twenty thousand, nineteen.
8. Thirty-five thousand, six hundred, one.
9. Two hundred thousand, five.
10. Five hundred eleven thousand, eighty.
36& Write in Roman numerals :
1. One hundred eighty. 4. One hundred ninety-nine.
2. Two hundred fifty-nine. 6. Two hundred sixty-four.
3. Three hundred seventeen. 6. Ninety-nine.
369. Read the following :
260,371
162,039
181,130
514,151
281,001
40,252
67,226
52,321
40,008
63,070
300,200
310,016
270,303
259,000
468,800
468,800
120,645
242,598
101,200
434,759
108,991
8,271
60,570
56,005
252,010
514,868
50,250
105,709
39,100
9,009
100,001
202,020
83,006
8,675
20,036
156,017
721,809
500,746
171,118
4,226
448,315
174,004
314,159
400,756
12,831
610,030
75
18,908
804
6,060
OCOIX
OL^ XIV
XCVIII
LXXVII
OXLIX
174 ARITHMETIC.
370. Slate ExeroiBeB.
Add across. Add down.
1+
2 +
3 +
4 +
5:
= ?
20 +
30 +
40 +
50 +
60
-f
300 +
400 +
500 +
600 +
700:
— ?
•
4;000 +
5,000 +
6,000 +
7,000 +
8,000:
= ?
50,000 +
60,000 +
70,000 +
80,000 +
90,000 :
= ?
•
100,000 + 200,000 + 100,000 + 200,000 + 100,000
= ?
? +
? +
? +
? +
?
= ?
371. Add down. Subtract across.
9-
6 =
= ?
8-
3 =
:?
80-
50 =
:?
70-
20 =
7
700-
400=
:?
600
400 =
•
6,000-
3,000-
:?
9,000-
5,000 -
:?
•
50,000 -
20,000 =
:? J
50,000- ]
L0,000 =
:?
•
400,000
100,000 =
= ? 600,000-300,000 =
•
? _ ? =? ? — ? =?
• • • i • •
372. Multiply across. Add multiplicands and products.
7x6 = ? 2x8 = ? 2x10 = ? 1x12=?
5x5 = ? 10 X 8 = ? 10x10=? 10x12=?
?x5 = ? ?x8 = ? ?xlO = ? ?xl2 = ?
1x5 = ? 3x6 = ? 3x12 = ? 5x20=?
10x5 = ? 20x6 = ? 10x12 = ? 20x20=?
100x5 = ? 100 X 6 = ? 100x12 = ? 300x20 = ?
?X5 = ? ?X6 = ? ?xl2 = ? ?x20=?
REVIEW. 176
373. Beview.
^
Add:
I. 260,371
2. 161,003
3. 131,130
4. 400,756
40,252
39,062
52,321
71,318
30,009
67,226
270,303
8,888
46,880
310,016
99,999
77,777
123,456
20,645
42,598
12,831
80,991
8,271
60,570
6,954
14,868
50,250
5,709
4,226
5,617
21,809
83,006
52,010
831
174
14,159
6,666
6. $1,234.69
6. $3,085.94
7. $2,345.00
8. $2,400.00
576.83
783.26
684.37
789.86
85.98
1,508.77
25.94
548.54
6.47
654.35
8.75
1,436.25
.23
88.99
18.46
894.98
.09
6.54
250.09
69.75
1.50
38.04
43.77
732.80
23.87
275.80
876.54
2,469.68
784.76
2.060.74
3,016.88
543.16
9. 183,756 + 98,765 + 8,438 + 789 + 2,468 + 1,892 + 860 +
3,456.
10. 95,438 + 264,838 + 124,606 + 88,776 + 9,543 + 32,685 +
18,943 + 250,608 + 27,655.
374. Find answers :
11. 1260,371 12. -$1,089.91 13. $468,800
-$40,252 $3,002.00 - $ 108,991
14. -100,001 16. $610,030 16. -75
514,868 - $448,315 174,004
17. $3,141.59 18. -804 19. $1,711.18
-$189.08 400,756 -$86.75
176
ARITHMETIC.
375. Multiply
20. 10,345x84
21. 15,983x56
22. 19,876x48
23. 13,286x75
24. 24,680x24
25. 10,048x86
26. 33,465x29
27. 16,495x57
28. 27,654x35
29. 10,259x93
30. 47,695 X 19
31. 34^88x28
32. 13,642x65
33. 18,395x47
34. 12,896 X 73
35. 24,966x38
36. 11,865x82
37. 11,898x64
38. 10,056x95
39. 10,209x95
40. 12,847x76
41. 11,876x78
42. 10,635x87
43. 13,598 X 63
44. 9,876 X 99
45. 10,478x92
46. 16,428x54
47. 12,845x49
48. 13,295x67
49. 10,985x85
DIVISION.
376. Slate
Divide :
50. 40,337-
51. 33,684-
52. 48,211 -
53. 55,338-
54. 58,767-
55. 156,130-
56. 237,158-
57. 251,490-
58. 960,848-
59. 112,360-
60. 217,365-
61. 327,888-
62. 442,681-
63. 574,248-
64. 747,579-
65. 841,928-
66. 182,160-
Exercises.
19
28
37
46
57
65
79
83
92
106
215
324
437
568
679
764
828
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
82.
83.
286,638
153,750
828,402
477,522-
774,038
921,854
876,438
513,824
934,829
800,800
909,090
18,950
20,000
23,486
27,509
42,035
76,892
946
1,025
1,367
2,151
2,572
3,006
4,002
5,041
6,036
7,102
8,103
22
24
26
28
32
35
84.
85.
86.
87.
88.
89.
90.
91.
'92.
93.
94.
95.
96.
97.
98.
99.
100.
84,318-
100.295
153,610
172,819
189,570
200,300
210,517
230,329
250,000
316,051
408,936
573,217
516,600
616,284
873,103
630,525
987,654
38
44
49
55
63
66
69
75
124
256
361
423
-^1,025
-^2,014
-^4,301
-^6,005
9,023
REVIEW. 177
MORE THAN ONE OPERATION,
377. Slate Exercises.
101. 40i+13i + 5^ 116. (16xl6i)-13
102. 23 + 6|-9^ 117. 16x(15J-13)
103. 63x45x3| 118. 1944^(54-^18)
104. (72 X 8^) X 19 119. 3^ + (5^ X 8)
105. (48x24) -^12 120. (3^ + 5^)x8
106. 48 X (24 -f- 12) 121. (284x42) + (18x11)
107. 100 - (63^ + 24J) 122. 284 X (42 + 18) X 11
108. (100 - 63^) + 24i 123. (4^ + 12^ + 3^) X 3|
109. 100 + 24f-63^ 124. (14 + 18 - 19) X 75
110. (f ofl00)x3f 125. (64 + ^) - (37 + 16)
111. fof(100x3f) 126. (33 X 13) - (64 X 4f )
112 1944 -^ 54 36 X 25 X 34
18 '17x72x5
(43 X 7) - (11 X 7) (36 X 5) + (96 x 24)
28 ' 18
114. (6X18) + (9X14) ^2, (g ^ 13) ^ 9_>|14
115. ^1^+^9XU) 130. ^ + ^4^
3 3 3
378. Oral Problems.
1. A piece of ground is 100 feet long and 25 feet wide. How
many feet of fence will be needed to enclose it ?
2. A spool of thread contains 200 yards. How many inches
does it contain ?
3. If three quarts of molasses cost 18 cents, how much must
be paid for a gallon ?
4. A customer pays 18 cents for three-fourths of a gallon of
molasses. What is the price of a gallon ?
178 ABITHMETIC.
5. A boy hires a sail-boat at 60 cents an hour and uses it
from half-past 8 o'clock until 10. How much has he to pay ?
6. A woman divides a dollar and a half between two children.
What part of a dollar does she give to each ?
7. A farmer had 25 sheep. He bought 42 and sold 16. How
many sheep had he then ?
8. At 3 cents a mile, what would be the fare from New York
to Philadelphia, 90 miles ?
9. The distance between New York and Albany is 140 miles,
and the fare is $ 2.80. What is the rate per mile ?
10. If there are 60 matches in a box, how many are there in
8 boxes ?
379. Slate Problems.
1. A field, in the shape of a rectangle, is 275 yards long and
105 yards wide. How many yards of fence will it take to enclose
it?
2. How many half-pints are there in a 15-gallon keg of
cider ?
^3. If 3 yards of silk cost $1.80, what will be the cost of 5|
yards ? '
4. A person pays $186 for three-quarters
of a plot of ground. What would he havehad
to pay if he had bought the other quarter
also? (Mark in each quarter its price.)
5. A man rents a house for $360 a year. How much rent
does he pay from January 1 to August 1 ?
6. A grocer puts 9^ pounds of coffee into jtwo equal pack-
ages. How much is there in each package?
7. A gardener raised 98^ bushels of potatoes. He ate 4J
bushels and sold 53 J bushels. How many bushels had he left ?
8. At 2 cents per mile, what is the fare from Boston to New
York, 249 miles?
1
1
•
. _ - _ _ - - _«
EASY FRACTIONS. 179
9. If a train goes 40 miles an hour, how many minutes does
it take to go one mile ?
10. If there are 60 matches in a box, how many matches are
there in two dozen boxes ?
EASY FRACTIONS.
380. Oral Exercises.
How many inches in 1 foot ? How many inches in ^ foot ?
How many inches in \ foot ? How many inches in \ foot ?
How many inches in \ foot and \ foot ? What part of a foot
is -^foot + \ foot?
381. Divide a line into thirds. Place a line of the same
length underneath, and divide it into sixths. Which is longer,
■J- or -J-? How many sixths are -there in one-third? -J- = how
many sixths ? -J- = how many sixths ? i + "i = how many
sixths ?
382. Slate Exercises.
1. 2^ 2. 5^ 3. 6^ 4. 9^ 5. 18J- 6. 24^
^ ±^ +Ji ±^ +M ±3. ±1M
7. 23| 8. 47| 9. 34^ 10. 50| 11. 81| 12. 33^
+ 14| +8f +99f +84f -^ +16|
13. 48 14. 54 15. 100 16. 29 17. 70 18. 213
z3. Z^ Z^ Zi^ Z^ -65|
19. 94 20. 83 21. 34J- 22. 62| 23. 120^ 24. 57^
~56f -^ -27i -58i -34i -28|
25. 62f 26. 73| 27. 81^ 28. 45^ 29. 33| 30. 24
-28f ~14f -20^ -26 -16^ - 16|
31. 24| 32. 48 33. 57| 34. 64| 35. 90 36. 89J
-16i -29f -81 -39i -15i - 66f
180 ARITHMETIC.
MUL TIPLICA TION,
383. Slate Ezeroises.
Multiply :
1. 456 X 102 26. 107x4,060
2. 712 X 203 27. 456 X 103^
3. 835 X 304 28. 456 X 103|
4. 327 X 405 29. 456 X 103J
5. 605 X 506 30. 456 X 301f
6. 584 X 607 31. 456 X 130f
7. 123 X 708 32. 456 X 130J
8. 246 X 809 33. 456 X 301f
9. 777x1,010 34. 375 X 208f
10. 924x1,011 35. 1,024 X 204f
11. 1,010 X 777 36. 208x4,060|
12. 1,011 X 924 37. 9,236 X 106
13. 248 X 123 38. 10,848 X 92
14. 234 X 234 39. 634 X 27^
15. 108 X 345 40. 576 X 102|
16. 304 X 456 41. 1,876 X 405J
17. 909 X 678 42. 123x3,001
18. 132 X 789 43. 683 X 2^
19. 206x3,910 44. 375 X 80f
20. 344 X 273 45. 279x3,050
21. 1,234 X 123 46. 842 X 113f
22. 2,345 X 234 47. 4,365 X 215
23. 806x1,050 48. 2,888 X 324
24. 480x2,020 49. 5,681 X 137^-
25. 203x3,040 50. 604x1,580
REVIEW.
1»1
SHORT METHODS.
384. Blackboard Ezeroises.
Write answers :
643
287 Beginning at the bottom say 12, 15, and 5 (writing it
in its place)
? are 20. 4, 12, 16. and 4 (writing it) are 20. 4, 10.
25 The missing namber is 45.
1,000
X. 293 2. 870 So 315 4. ?
5. 699
64 ? 487 208
87
712 54 ? 63
208
? 387 95 5
?
1,340 1,496 1,000 1,402 997
Wo see that the quotient figure is 4, which is
005 134 __ A r written. Four 8*s are 32, and 2 (writing it) are 34.
28 ^^' Four 2's are 8, 3 (the tens from 34) are 11, and 2
(writing it), are 13. Ans. 4|f .
6. 32}146_ 61}360_ ^^ 19}180_
"SIT "BT T5"
7. .21)160 13. 71 )490 19. 51)300
8. 280-^41 14. 720^81 20. 180-^41
9. 450 -i- 51 15. 540^91 21. 210-^-31
10. ^ = 7^ 16. 1^ = 2^ 22. 1§?=8^
31 *^ 71 ^^ 21 ^^
U. 2TO^ ^^ 560 ,3^ ^
91 81 41
386. Do not place multiplier under multiplicand.
24. 183 X 4 29. 512 X 8 34. 919x20
25. 246 X 7 30. 892 X 12 35. 459 X 50
26. 734 X 11 31. 376 X 40 36. 999 X 3
27. 284x30 32. 483 X '6 37. 888 X 2
28. 376 X 5 33. 609 X 9 38. 734x60
182 ARITHMETIC.
387. Write results:
39. ^ of 289 44. I of 574 49. -j^ of 5,678
40. J of 429 45. ^of 796 50. -^ of 7,890
41. :^ of 678 46. ^of 983 51. ^ of 2,345
42. i of 888 47. yV of 1,234 52. -g^ of 4,567
43. I of 357 48. iVofM56 53. ^^ of 6,789
388. Write the missing numbers directly in their places.
54. 1,346 55. ? 56. ? 57. 240
- ? - 873 X 12 X ?
879 2,999 8,736 4,800
58. 1 = 124 59. - = 33i 60. ^=32 61. ^==7
7^6^ ? ?
389. Oral Froliiems.
1. By selling a horse for $300, a man gained $40. What did
he pay for the horse ?
2. If a train goes 32 miles in an hour, how far will it go in
15 minutes?
3. What will be the costuDf a quarter of a pound of nutmegs
at 6 cents an ounce ?
4. How many 2-ounce packages can be made from 3 pounds
of pepper?
5. A man travels 24 miles in 6 hours. How far does he go
in 4^ hours?
6. Paid $32 for 16 yards of cloth. What did it cost per
yard ?
7. A man and his two sons earned $90. The father earned
$40. What did each boy earn ?
EXAMINATION QUESTIONS. 183
8. John reached school at 13 minutes past 8 ; James came
17 minutes later. What time was it when James arrived ?
9. Corn sold last year for 57 cente per bushel. This year it
is 18 cents higher. What is the present price ?
10. What do I receive for an article that cost me 71 cents,
and which I sell at a loss of 14 cents ?
11. How many years old to-day is a boy that was born in
1884?
390. IT. 8. Oivil Service. Printer's Assistant Examination. —
TreasTiry Department.
1. Add the following, placing the total at the bottom :
742,155.74
429.39
6,873.68
397.49
1,956,374.20
2. Express in figures one thousand eight hundred eighty-
eight.
3. From 332,721 take 143,832.
4. Write in words the following number : 501,045.
6. Multiply 371,645 by 34.
6. Divide 109,782 by 342.
7. If a printer's assistant earns $1.25 a day, how much will
she earn in a year of 300 working days ?
8. If a skilled helper earns $325 in a year, how much will
he have left after paying his board at the rate of $16 a month ?
9. Add 125,324 and 3,507 ; from the sum subtract 342.
10. If a printer's assistant spends 10 cents a day for street-car
fare, how much will she spend in two months of 30 days each?
184 ARITHMETIC.
HALVES AND FIFTHS.
391. Oral EzerciBes.
How many cents in one-fifth of a dime ? How many cents in
one-tenth of a dime ? How many cents in one-half of a dime ?
i i
I wmmmmmmm
I
How many tenths in one-half? How many tenths in one-fifth?
How many tenths in one-half plus one-fifth ?
i TIT "1 TIT
f 10
i TTT
i 10
10 10
A=?
A-?
A- ?
392. slate Exerdses.
1. 19^ 2. 23^
3. 35|-
4. 64i
6. 47|
+ ^ +2f
+ 3f
+ 5*
+ 33f
6. 251- 7. 50^ 8. 84f 9. 92| 10. 68
-16i -291 -77i -J- -^01
FOURTHS AND FIFTHS.
393. Oral Exercises.
When we add halves and fifths, we change hoth to tenths. To
what must we change fourths and ^i{As when we wish to add
them ? Why will it not do to use tenths f
FOURTHS AND FIFTHS. 185
394. Slate Exercises.
11. \ 12. 2i 13. 3i 14. 3f 15. 15f
+ i +i +li +H +H
16. 26i 17. 38J 18. 49| 19. 97| 20. 18^
+ 7| +15| +26| +7^ +29|
21. 61i 22. 70| 23. 83f 24. 55^ 25. 32J
-52^ -9i -20i -48i -17f
395. Add:
26. 15i 27.
23i
28. 17J
9i
6i
9i
8i
i
3i
396. Subtract:
31. 25 32.
36
33. 47
3^
H
5i
36. 70 37.
81
38. 92J
8i
H
8i
29. 49^
30. 52^
29i
20i
3i
lOi
34. 58
36. 69
6i
n
41. 64^ 42. 99|
ii ^
46. l^ 47. 81^
5i. 3i
39. 88^ 40. 754
9i lOi
43. 87^
44. 15J
45.
20^
49i
8i
Hi
48. 93^
49. 47^
60.
864
38J
1
m
18G ARITHMETIC.
LONG DIVISION DRILLS.
397. Give quotients at sight. Omit remainders when there
are any.
840-^210 420-^-210 960-^320 840^420
860-^-430 990-^330 440-^-220 390-^130
930^310 880^440 630 --210 660-^-330
260^130 280^140 680 -f- 340 640-^320
398.
840 -f- 211 420-^216 960-^327 840-^-422
860 -f- 432 990-^337 440-^226 390-^131
930^313 880^448 630-^216 Q61-^330
260^134 280^149 680-^-344 641-^321
399.
840^209 421 -f- 203 960 h- 319 849-^-420
860 -T- 429 992-^327 440-^219 . 398-^129
930 -f- 309 883-^436 630 -h 209 667-^-328
260-^-129 284 -f- 135 680-^339 645-^317
400.
2,510^499 2,420 -f- 391 3,699^411 1,610 4-381
3,640-5-510 1,743-^526 2,043-^482 3,682 -f- 613
3,240 -^ 620 4,821 ^ 589 4,220 -f- 693 6,834 ^ 728
3,510 ^ 679 2,033 -~ 791 4,934 -^ 816 7,215 -^ 781
40L
750-^150 1,200-^150 910 -f- 130 1,040 -h 130
1,260 -i- 140 700-^140 980-^140 900 -f- 150
780-^130 1,350 -f- 150 1,170^130 650 -f- 130
1120^-140 840 -H 140 350 -f- 170 640-+-160
LONG DIVISION.
187
DIVISION.
402. Slate Exercises.
Divide :
X. 452,610
2. 656,792
3. 101,745
4. 531,304
5. 887,465
6. 612,820
7. 891,261
8. 966,828
9. 894,447
10. 948,790
11. 959,137
12. 759,638
13. 906,585
14. 820,944
15. 156,152
16. 309,168
17. 521,640
18. 688,516
19. 922,504
20. 926,208
21. 384,638
22. 354,645
23. 295,817
24. 728,954
25. 687,836
26. 948,172
141
152
133
154
155
136
147
138
149
158
137
146
135
144
153
152
161
172
183
194
215
235
256
277
293
318
27.
497,961 -
- 347
28.
187,365 H
- 375
29.
612,172-
- 396
30.
305,340 -i
- 424
31.
956,903 -
- 452
32.
824,827 H
- 483
33.
853,568 -
- 531
34.
907,830 -
- 562
35.
708,000 -
- 594
36.
678,579 -
- 644
37.
694,734 -i
- 689
38.
636,902 H
- 724
39.
839,243 -^
- 847
40.
588,640 H
- 981
41.
627,652 -
^ 1,032
42.
998,171 -
r 2,165
43.
999,477 -
H 3,254
44.
800,034 -
h 4,316
45.
832,336-
h 5,409
46.
165,273-
f- 6,521
47.
535,068-
h 7,611
48.
268,395 -
f- 8,794
49.
317,324 -
'r- 9,801
50.
412,644 -
'r- 1,453
51.
470,493 -
1- 2,043
52.
777,849 -
H 3,087
188 ABITHMETIC.
403. Oral FroUems.
1. A fanner had 42 bags of rye, each containing 2 bushels.
How much rye did he have after selling 50 bushels ?
2. I buy If lb. of 40-cent tea and hand the grocer a dollar.
How much change does he give me?
3. If a man receives $120 for three cows, how many would
he have to sell to receive $200?
4. Find the cost of 5 dozen oranges at a cent and a half
apiece.
5. A boy sold some newspapers for 75 cents, on which he
gained 18 cents. What did he pay for the papers ?
6. Three girls divide equally among them 84 hickory nuts.
What is the share of each ?
7. A barrel of sugar contains 300 pounds. What is it worth
at 5 cents a pound ?
8. A man had 40 pigs and sold three-quarters of them at
3 dollars each. How much money did he receive ?
9^ A girl multiplied a number by 7 and her answer was 98.
What number did she multiply ?
10. A farmer exchanged 7 sheep worth $12 each for cows
worth $42 each. How many cows did he get ?
11. If a man walks 4 miles an hour for 5 hours a day, how
many days would he take to walk 100 miles ?
12. A man buys 2 pieces of ribbon for 90 cents, paying 10
cents per yard. There are 4f yards in one piece. How many
yards are there in the other ?
13. If 4 baseballs cost a dollar, how many dollars will 84
baseballs cost ?
14. How many freight cars will there be in 4 trains of 41
cars each ?
REVIEW. 189
404. Slate Problems.
1. A farmer had 800 bushels of wheat. How much had he
after selling 8 loads of 70 bushels each ?
2. I buy If lb. of beefsteak at 24 cents a pound, and give
the butcher a dollar. How much change should I receive ?
3. If a person receives $105 for 3 cows, how many cows
would he have to sell to obtain $ 175 ?
4. Find the cost of 5 dozen oranges at the rate of 2 oranges
for 3 cents.
6. By selling a house for $5,750, a man made a profit of
$250. How much did he pay for the house?
6. Three brothers divide equally among them 679 acres of
land. What is the share of each ?
7. Five barrels of flour contain 980 pounds. What is the
value of one barrel, when flour is worth 3 cents a pound ?
8. A man sells f of his pigs at $5 each. If he had 24 pigs
at first, what did he receive for those he sold ?
9. A girl multiplied a number by 7 and the answer was
2,814. What number did she multiply ?
10. A farmer exchanges 12 sheep worth $ 15 each for cows
worth $ 45 each. How many cows should he receive ?
11. If a boy walks 2 miles an hour for 7 hours a day, how
many days would he be in walking from Washington to New
York, 224 miles ?
12. A man buys 4 pieces of ribbon for 90 cents, paying 10
cents a yard. The first piece contains 1-J yd., the second 2J- yd.,
and the third If yd. How many yards are there in the fourth
piece ?
13. How many quarts are there in a barrel that contains 2^
bushels ?
190 ARITHMETIC.
MUL TIPLICA TION.
405. Blaokboard Ezercises.
The pupils should write answers at sight to the following
questions placed on the blackboard.
Find the cost of :
1. 21 lb. of raisins, at 13^ per lb.
2. 22hat«, at $1.30 each.
3. 14 sofas, at $21 each.
4. 31 yards of ribbon, at 15^ per yd.
5. 42 overcoats, at $21 each.
6. 13 lb. of butter, at 32 )Z^ per lb.
7. 31 yards of silk, at $2.20 per yd.
8. 24 bu. of wheat, at $1.02 per bu.
9. 32 horses, at $203 each.
10. 15 cows, at $42 each.
11. 120 bbl. of flour, at $5.25 per bbl.
12. 41 pigs, at $13 each.
13. 4^ tons of hay, at $14 per ton.
14. 33,000 stamped envelopes, at $21 per thousand.
15. 400 lb. of sugar, at b\f per lb.
16. 12 hats, at $2.25 each.
17. 16 hats, at $2^ each.
18. 12| yd. of silk, at $3 per yd.
19. 21 sheep, at $ 14 each.
20. 104^ yd. of muslin, at 8^ per yd.
I
REVIEW. 191
DIVISION.
406. Blackboard Exercises.
Find cost of 1 pound, 1 gallon, etc. Write answers at sight :
21. $2.94 for 14 lb. of coffee.
22. $33 for 15 hats.
23. $325 for 13 sofas.
24. $882 for 42 overcoats.
26. $5.25 for 105 bottles of ink.
26. $37.20 for 31 yards of cloth.
27. $9.92 for 32 lb. of butter.
28. $25.50 for 25 bu. of wheat.
29. $4,284 for 21 horses.
30. $615 for 15 cows.
31. $480 for 96 bbl. of flour.
32. $574 for 41 pigs.
33. $286 for 22 tons of hay.
34. $93.20 for 4 thousand envelopes.
35. $35 for 700 lb. of sugar.
36. $33 for 12 hats.
37. $35.20 for 16 hats.
38. $144 for 48 yd. of silk.
39. $225 for 15 sheep.
40. $16.96 for 212 yd. of muslin.
41. $18.00 for 15 dolls.
42. $ 600 for 4 wagons.
43. $33.60 for 30 yd. of carpet.
192
AEITHMETIC.
TABLE.
407. Find the total attendance of each day, the aggregate
weekly attendance of each class, and the grand total.
Monday.
Tncflday.
Wedneflday.
Thursday.
Friday.
Total.
Ist clasfl . . .
36
37
35
31
33
172
2d "
38
40
36
32
37
3d •
40
41
40
37
39
4th '
42
42
43
41
42
5th •
44
41
45
43
44
6th •'
46
45
45
44
42
7th "
48
45
43
47
46
8th "
50
49
49
49
48
9th •
52
53
50
49
50
'
10th •• .
54
55
56
55
54
ToUU.
THIRDS AND FOURTHS.
408. Oral Exercises.
i
\
i
\
r >
1
\
^
'1
AAA AAA AAA AAA
1
B
i i
i
i
J
i
AB is divided into twelfths. How many twelfths in a fourth
of AB? i = How many twelfths ? ^=1^? 1 = 1^? ^°^
many twelfths in \ of AB ? |^ = tV ^
THIRDS AND FOURTHS. 193
How many inches in J foot ? In ^ foot ? In J foot ? In ^
foot ? In J foot ?
How many inches in -J- foot + \ foot ? How many twelfths in
one-fourth and one-third ?
409. Slate Ezeroises.
•
1. 12^
2. 15|
3. ISJ
+ 27|
4. 25f
5. 63|
+ 15|
6. 80^
-5i
7. 37|
-20^
8. 16f
- *
9. 75|
-26i
10. 56f
-18J
<aO. Add
•
•
11. 14^
i
12. 20|
15|
13. 33^
20i
111
14. 5i
14f
16. 25|
25i
25i
16. 81i
30J
5i
17. 27f
19i
3i
18. 56^
i
19. 65|
19|
20. 80f
5f
lOf
21. 22J^
22. 37|
23. 9^
i
24. 75^
20i
31
26. 84^
m
«1. Subtract:
26. 95^
70i
27. 87|
16J
28. 70^
29. 62^
37^
30. 51|
48i
31. 75^
61i
32. 87|
28i
33. 52|
14i
34. 40|
9i
35. 31f
13i
36. 87
37. 62
38. 77
39. 56
40. 59
55^
m
54i
14i
m
41. 75
42. 16
43. 71
44. 93
46. 40
61i
12f
43|
6H
26f
46. 84|
52i
47. 22^
9i
48. 38f
2^
49. 46|-
5f
60. 40}
20J
194 ARITHMETIC.
DENOMINATE NUMBERS.
412. Slate ExeroiseB.
1. Change 7 lb. 5 oz. to ounces.
2. Change. 69 oz. to pounds and ounces.
3. 82 qt. to gallons and quarts.
4. 14 gal. 3 qt. to quarts.
5. 47 pt. to quarts and pints.
6. 28 qt. 1 pt. to pints.
7. 18 bu. 3 pk. to pecks.
8. 17 pk. 7 qt. to quarts.
9. 97 qt. to pecks and quarts.
10. 87 pk. to bushels and pecks.
11. 49 bu. to quarts.
12. 5 yards to inches.
13.. 14 yd. 2 ft. to feet.
14. 13 ft. 3 in. to inches.
15. 119 in. to feet and inches.
16. 70 ft. to yards and feet.
17. Add 24 lb. 12 oz. and 19 lb. 4 oz.
18. 63 gal. 3 qt. + 24 gal. 1 qt.
19. 27 qt. 1 pt. + 37 qt. 1 pt.
20. 83 bu. 2 pk. + 67 bu. 2 pk. \
21. 13 pk. 5 qt. + 29 pk. 3 qt.
22. From 98 ft. take 12 ft. 9 in.
23. 75 bu. — 14 bu. 1 pk.
24. 33 ft. - 19 ft. 11 in.
26. 135 gal. -67 gal. 2 qt.
REVIEW. 195
413. Oral Problems.
1. A girl receives 70 in arithmetic and 90 in reading. What
is her average in the two studies ?
2. A man paid $30 each for two cows and $60 for a third.
What was the average price of the three cows ?
3. Bought 2 lb. 8 oz. of meat at 16 cents per lb., and 1 qt.
1 pt. of molasses at 10/^ per qt. What was the total cost?
4. What will a bushel of chestnuts cost at 10 cents per
quart?
5. If 12 tons of coal cost $60, how many tons can be bought
for $75?
6. How long will it take 1 man to do a piece of work, if 12
men can do it in 12 days ?
7. Six dozen collars cost $6.60. What is the price of one
dozen ?
8. A farmer had eighty sheep. How many had he left after
selling "I of them ?
9. Sold 2 cows at $30 each and 3 at $40 each. How much
was received for the five cows?
10. A grocer sold 25 lb. of tea on Monday, and 5 lb. more on
Tuesday than on Monday. How much did he sell on both days?
11. 1,200 cabbage plants are. to be placed in 4 rows. How
many plants will there be in each row ?
12. A train started with 100 passengers. If 65 got on and
40 got off, how many passengers would there be on the train ?
13. A man sold a cow for $60. How much did he pay for
the cow if he lost $20 on the sale ?
14. Bought a cow for $48. How much would be gained by
selling her for $60?
15. How old in 1891 was a boy that was born in 1880?
196 ARITHMETIC.
16. If a man saves $ 40 per month, in how many months will
he save enough to buy a lot worth $480?
17. A man and his son receive $50 for 10 days* work. The
father's wages are $3 per day. What wages does the son receive
per day ?
18. A dealer buys 15 pairs of shoes at $2 per pair. How
much does he gain if he sells them for $3 per pair?
19. A farmer bought a cow for $60, a sheep for \ as much,
and a calf for -J- as much. What did he pay for the three ?
80. There were 24 boys present in a certain class on Monday,
22 on Tuesday, 20 on Wednesday. What was the average num-
ber present each day ?
21. A woman gives two $20 bills for two dresses. One costs
$ 10, the other $ 10 more than the first. How much change does
she receive ?
22. What will be the cost of 4 loads of flour, 10 barrels to the
load, at $5 per barrel ?
23. Henry buys 4 base balls for $3. He gives $1.25 for one,
50 cents each for two. How much does he pay for the fourth ?
24. A man buys a piano for $360. He pays $300 cash. How
long will it take him to pay the balance at $ 12 per month ?
25. A boy has 5^ dozen eggs. How many will he have after
selling 30 eggs ?
414. Slate Problems.
1. A boy received 70 per cent in arithmetic, 80 in reading,
90 in spelling, 80 in penmanship. What is his average ?
2. A man paid $300 each for two horses, and $200 each for
three horses. How much did the five horses cost? What was
the average price ?
3. I bought 4 lb. 6 oz. meat at 16^ per lb., 1 gal. 1 qt.
molasses at 24 ^ per gal. What was the total cost?
REVIEW. 197
4. If chestnuts are sold at 5 t per qt., how much will be
received for 2^ bushels ?
6. If 23 tons of coal cost % 115, how many tons can be bought
for $145?
6. How long will it take 1 man to do a certain piece of work,
if 26 men can do it in *l\ days?
7. Six dozen collars cost $9.36. What is the price of one
collar ?
8. A merchant had 936 yards of muslin. After selling f
of it, how many yards were left ?
9. A farmer sold 2 cows for $47 each, 3 for $ 36 each, and 7
for $29 each. How much did he receive for them all?
10. A grocer sold 86 pounds of sugar on Monday, 74 on
Tuesday, 82 on Wednesday, 69 on Thursday, 68 on Friday, and
as much on Saturday as on Monday and Wednesday together.
How many pounds did he sell during the week ?
11. 1,400 cabbage plants are to be planted in 40 rows. How
many plants will there be in each row ?
12. A train from New York to Philadelphia started with 265
passengers. 63 left the train at Newark, and 72 got on. 84 got
on at New Brunswick, and 79 got off. 107 got on at Trenton,
and 45 got off. How many were then on the train ?
13. A man sold a house for $ 2,650. What did the house cost
him if he lost $350 on the sale?
14. By selling a horse for $175, I lost $35. How much
would I have gained or lost by selling the horse for $ 190 ?
IB. George Washington was born in 1732 and died at the age
of 67. In what year did he die ?
16. If a man saves $25 per month, how many years will it
take him to save enough to buy a lot for $600, and to build upon
it a house costing $1,800?
198 ARITHMETIC.
17. A man and his son receive $108 for 24 days* work. If
the son earns $1^ per day, what does the father receive per day?
18. A shoedealer buys 20 dozen pairs of shoes at $1.75 per
pair. What is the amount of his bill ?
19. A farmer bought a horse for $150, a cow for ■§■ as much,
and a pig for ^ as much. What did he pay for the three ?
20. There were 48 boys present in a certain class on Monday,
52 on Tuesday, 45 on Wednesday, 47 on Thursday, 38 on Friday.
What was the average number present each day ?
21. A woman gives three $20 bills for two dresses, one cost-
ing $24, and the other $10 more. How much change does she
receive ?
22. What will be the cost of 4 loads of flour, 12 barrels to the
load, at $4^ per barrel ?
23. Henry buys nine bats. He pays 25 cents for one, 15^
each for two, and 5 ^ each for three. If he pays a dollar for all,
how much apiece does he pay for the others ?
24. A man buys a piano for $750, paying $525 cash.* How
long will it take to pay the balance at $25 per month?
25. A grocer has a box of eggs containing 30 dozen. How
many will he have after selling two dollars' worth, at 80 eggs for
a dollar?
415. Slate Exercises.
1
Multiply :
<
1. 6,793 X 123
7.
1,375 X 656
13.
478 X 2,064
2. 5,627x135
8.
1,286 X 749
14.
384 X 2,506
3. 3,798x234
9.
1,058 X 809
15.
269 X 3,506
4. 2,409 X 361
10.
1,054 X 908
16.
275 X 3,025
5. 1,789x450
11.
687x1,025
17.
177 X 4,708
6. 1,364x547
12.
572x1,037
18.
126 X 4,009
MULTIPLICATION AND DIVISION.
199
19. 143
20. 240
21. 132
22. 450
23. 189
24. 168
25. 217
26. 175
27. 252
28. 333
29. 328
X H
X ^
X ^
X 4tV
X 5|
X 6|
X 7f
X 9|
xlO^
xllf
xl2i
30.
192 X 4,063
41.
136 X 25f
31.
198 X 5,009
42.
192 X 18f
32.
158 X 5,970
43.
140 X 43|
33.
164 X 6,002
44.
124 X 36f
34.
143 X 6,240
45.
156 X 61^
35.
136 X 7,003
46.
198 X 54|
36.
127 X 7,350
47.
161 X 109|
37.
109 X 8,034
48.
189 X 208^
38.
119 X 8,006
49.
250 X 307^^
39.
107 X 9,067
50.
240 X 4O63V
40.
106 X 9,005
51.
330 X 2093V
416. Divide:
52. 64,347-^ 29
53. 30,670-^ 39
54. 79,323^ 49
55. 61,753-^ 59
56. 71,290^ 69
57. 66,471-^ 79
58. 54,283 -H 89
59. 21,341-^ 99
60. 42,897-4-192
61. 76,4624-293
62. 35,441-^394
63. 41,203^495
64. 24,120-^596
65. 54,414^697
66. 64,671 -f- 798
67. 28,975 -f- 891
68. 99,685^999
69. 42,837-
70. 495,869-
71. 459,754
72. 819,676
73. 702,160-
74. 814,972
75. 301,453
76. 740,183
77. 161,142
78. 451,099
79. 897,432
80. 16,225
81. 88,650
82. 36,826
83. 36,457
84. 95,120
85. 79,713
987 86. 92,518
1,.907 87. 95,519
1,971 88. 20,367
2,908 89. 79,528
3,907 90. 32,525
4,906 91. 89,990
5,905 92. 529,429
6,904 93. 381,119
7,903 94. 748,137
8,902 95. 252,729
9,901 96. 142,705
28 97. 800,025
38 98. 170,460
48 99. 692,554
58 100. 919,155
68 101. 307.515-;
78 102. 987,651
88
98
187
286
386
489
585
687
786
885
988
974
1,863
2,864
-3,869
4,867
5,432
200 ARITHMETIC.
417. Philadelphia Public Schools. — Oral Work.
1. 15 + 10 + 9-6 + 12= 3. (f of80)-25 =
2. 29 + 11-8-7- 9= 4.36 + 20- 7 =
6. 9 times 8= 9. How many 11 's in 132?
6. 12 times 9 = 10. In 98 are how many 12'8?
7. 4 times 15 = 11. How many 8's are in 79 ?
8. 8X ? = 96 12. (72 -4- 12) X 15 =
13. f of an hour = ? minutes? 16. 64 pints = ? gallons?
14. 9 weeks = ? days ? 17. 60 inches = ? feet?
16. 2 bushels and 1 peck = ? quarts? 18. 48 ounces = ? pounds?
19. Show the pupils a box or a bucket and ask them to tell,
approximately, how many half-pecks of sand it can hold.
20. At 3 cents each, how many eggs cost as much as 6 pounds
of sugar at 8 cents a pound ?
418. Written Work.
1. Write in figures: four thousand six, ten thousand twenty-
five, six thousand forty, fifty thousand two hundred three.
2. Take $10.25 from $300.
3. Add 8,765; 708; 86; 76,458; 867; 66.
4. Multiply 867 by 97.
5. Divide 80,654 by 83.
6. A man earns ^wq dollars a day, and he spends two dollars
a day. How much will he save this year of 366 days, counting
out 52 Sundays and 5 holidays ?
THIRDS AND FIFTHS. 201
7. If a vessel sails 8,125 miles in 65 days, in how many days
would it sail 25,000 miles, the distance around the world ?
8. How many feet of boards one foot wide are needed to make
a gate 6 feet high and 4 feet wide? At 6 cents a foot, what
would be the cost ? Draw a diagram to explain your work.
THIRDS AND FIFTHS.
419. Oral Exercises.
When halves and fifths are to be added or subtracted, they
must be changed to tenths. When we added or subtracted /owr< As
&nd fifths, we changed both to tiventieths. To what must we change
thirds Sind fifths before we can find the sum of -J- and ^, or the dif-
ference between them?
420. Sight Exercises.
1. J '2. 5J 3. bi 4. 5^ S- i
7. i
12. If
6.
^
+ H
11.
i
-*
16.
n
-8|
21.
H
+ H
26.
2i
-2i
17.
n
-^
22.
^
-H
27.
H
+ H
8.
2|
-li
13.
4
+1
18.
1*
+ 1
23.
^
+ 3i
28.
H
+ 2|
9.
1
+ *
14.
n
+i
19.
20
—
-lOf
24.
5^
-1|
29.
5|
-H
10.
6i
+ *
16.
i
-i
20.
16
-8*
26.
H
-n
SO:
10
-H
2U15
ARITHMETIC.
42L Slate Exercises.
1. H
+ i
2. 3i
3.
5*
+ 2*
4.
10*
+ 6*
6. 25*
+ 12*
6, 18J
7. 29|
-18i
8.
37|
-6*
9.
64*
-56f
10. 91*
-20*
422. Add
•
•
11. 8i
n
12. Hi
18.
24|
28* •
*
14.
64*
20*
14*
16. 30*
30*
30|
16. 6|
17|
20
3i
17. 25*
18
31i
2i
18.
47*
23*
6i
9
19.
21|
5*
8
16*
20. 32
H
16*
4*
21. 16|
59|
3
22. 83
12*
*
23.
60*
20*
10
4*
24.
28|
27*
29*
8
26. 25*
35
15f
5*
26. IJ
2f
3f
27. 14*
24
36f
28.
59*
23i
6*
29.
87*
2f
s*
30. 69^
15*
8*
423. Subtract:
31. 90
18i
32. 67
63|
33.
84
59|
34.
35
16*
35. 48*
27
36. 59^
16*
37. 72^
28*
38.
63f
44i
39.
22f
8*
40. 41*
6*
EEVIEW.
203
SIGHT DRILLS.
424. Give sums :
130+ 80
360 + 200
131 +
62
3,000 + 6,000
20 + 290
200 + 790
245 +
30
5,000 + 4,000
380+ 70
160 + 600
372 +
23
2,000 + 7,000
50 + 490
400 + 540
411 +
84
4,000 + 3,000
^S. Give differences:
'
210 - 130
1,500 - 600
193-
62
9,000
-6,000
320- 90
1,100 - 700
193
131
8,000
-3,000
460 - 380
1,400-800
276
246
7,000
5,000
640-60
1,700 - 900
275-
30
6,000
-2,000
426w Give products :
31x8
200x8
61x6
84x
f
121x4
21x9
300x7
84x2
39 X
i
224x2
42x4
400x6
91x5
96 X
i
321x3
73x3
500x5
71x7
78 X
i
432x2
427. Give quotients :
248 : 8
248-!- 31 4,200 H- 700
4,200-*-
6
188 -H 2
189-!- 9
168 : 21 4,800-!- 600
4,800 -!■
8
279-!- 3
168 -r- 4
126 -f- 42 2,700 -!- 300
2,700 -!■
-9
284^-4
219-!- 3
219 -f- 73 3,600 -^ 900
3,600-!-
4
155 : 5
42a Add:
} + i
i + i
i + i
i + i + i
} + f
* + i
* + i
i + i
i + i + +
i + *
i + i
i + i
i + i
i + i + i
i + i
i + t
i + i
^ + i
i + i +
\
i + f
20J: ARITHMETIC.
429. Oral Problems.
1. What two numbers are contained in 26 without a remain-
der?
A number that divides another exactly, is called 9k factor of it.
2. Fii)d two factors of 34.
3. What part of an hour is 15 minutes?
4. When tea is 60 cents a pound, how much can be bought
for 30 cents?
5. Find two factors of 39.
6. If dress goods are worth 20 cents a yard, what part of a
yard can be bought for 15 cents ?
7. 16 hours is what part of a day ?
8. I have a gallon of milk. How many quarts and pints
will I have after selling 2 quarts and 1 pint ? '
9. Find two factors of 93.
10. When cheese is 16 cents a pound, how many ounces can
be bought for 10 cents ?
11. There are 60 seconds in a minute. How many seconds
in ^ of a minute?
12. When ribbon is 60 cents a yard, what part of a yard can
be bought for 40 cents ?
13. A boy paid 15 cents for three-quarters of a pie. What
was the price of a whole pie ?
14. Find two factors of 62.
15. 7 is one factor of 91. What is the other factor?
16. Three pecks is what part of a bushel?
17. If I pay 9 cents for a pound and a half of sugar, what is
the price of a pound?
18. Find two factors of 65.
EXAMINATION QUESTIONS. 205
19. When coflfee is 30 cents a pound, how much can be bought
for 75 cents ?
20. A dozen bottles of ink are worth 60 cents. How many
bottles can I buy for 45 cents ?
21. A dealer bought 177 bushels of grain and sold 156 bushels.
How many bushels had he left ?
22. I paid $6.30 for silk and 62 cents for lining. What was
the amount of my bill?
23. Find the cost of 7 pounds of cheese at 21 cents a pound.
24. A flour merchant paid $484 for 121 barrels of flour.
What was the price of a barrel ?
25. How much must I pay for ^ of a yard of silk at $1.60
per yard ?
26. Mr. Smith was 50 years old in 1893. In what year was
he born ?
430l Hassaohnsetts Oivil Service. Inspector: Water Department.
1. Write in figures the following number: One hundred
eleven thousand three hundred six.
Write in words the number expressed by the following figures :
49,852.
2. Add the following column of figures:
27,896
35,427
12,397
75,556
29,872
12,387
3. An army of 10,000 men lost 4,809 men in battle ; how
many men were left?
4. How much will 72 barrels of flour weigh, if each barrel
weighs 196 pounds ?
206 ARITHMETIC.
•
5. How many horses worth $125 apiece must be given for
a farm worth $11,000?
6. What will be the cost of 32 pounds of coffee, at 28f cents
a pound ?
431. Sub-Foreman of Laborers.
1. Write in figures the following number : One h^indred
sixty-three dollars and twelve cents.
2. If you receive 23 loads of gravel one day, 34 loads the
next, and 17 loads the next, how many loads will you then have
in all?
3. If you have $45 and pay out $27 for rent and other ex-
penses, how much will you have left ?
4. If a cubic yard of stone costs 88 cents, how many yards
can be bought for $39.60?
6. What wages, at $1.75 per day, would be due a laborer
that had worked an entire week of six days, except one half day?
432. Folioe Force of Boston.
1. Write in figures the following number : One hundred ^ye
thousand seven hundred three.
Write in words the number expressed by the following figures:
27,013.
2. Add the following column of figures :
24,387
19,986
12,241
72,978
23,300
19,781
3. An army of 14,225 men lost 1,987 men in battle ; how
many men were left ?
EXAMINATION QUESTIONS; 207
4. How much will 87 barrels of sugar weigh, if each barrel
weighs 235 pounds ?
5. How many horses worth $185 apiece must be given for a
farm worth $ 14,060 ?
6. What will be the cost of 80 pounds of coffee at 28f cents
a pound ?
433. Foreman of Laborers,
1. Write in figures the following number: One thousand five
hundred sixty-three.
Write in words the number expressed by the following figures :
12,207.
2. Add the following column of figures:
1,743
876
1,427
3,764
998
2,507
3. Suppose you have under you 36 men at $ 1.75 per day ; a
rain-storm prevents them from working the last half day. What
will be the amount of their pay for that day ?
4. If you have a pile of 10,000 bricks, and take away 7,550
of them, how many will be Ifeft ?
5. When stone is worth 88 cents a yard, how many yards
can be bought for $37.84?
434. Fire Department of Boston.
1. Write in figures the following number : Fifteen thousand
one hundred ten.
Write in words the number expressed by the following figures :
12,101.
208 ARITHMETIC.
2. Add the foltowing column of figures:
18,465
32,101
25,976
14,385
25,989
17,877
3. If a man should buy a lot of land for $21,987, and sell it
for $23,125, how much would he gain by the transaction?
4. If $4,130 be divided equally among 28 men, how F.uch
will each man receive ?
5. How much will 43 horses cost, if the price of each horse
is $175.50?
6. What will 28 pounds of beef cost, at 18| cents a pound?
435. Police of Qities other than Boston.
1. Write in figures the following number: Thirty thousand
three hundred forty-six.
Write in words the number expressed by the following figures:
31,756.
2. Add the following column of figures :
14,328
3,709
14,257
18,601
2,782
11,907
3. If a railway train runs at the rate of 46 miles an hour,
how far will itf run in 27 hours ?
4. If a man buys a piece of land for $17,810, and sells it for
$16,987, iow much does he lose by the transaction ?
MULTIPLICATION AND DIVISION. 209
5. A man paid $4,026 for 23 horses; how many dollars did
he pay for each horse ?
6. How much will 18 pounds of beef cost, at 18J- cents a
pound?
436. Detectiye Force of District Police.
1. Write in figures the following number: Fifteen thousand
seven hundred one.
Write in words the number expressed by the following figures:
10,010.
2. Add the following column of figures:
26,964
17,683
10,867
18,642
26,396
32,693
3. If a man should buy a lot of land for $20,000 and sell it
for $18,776, how much would he lose by the transaction ?
4. If 36 hogs cost $394.45, what is the cost of each hog ?
5. When eggs cost 36 cents a dozen, what is the cost of 648
eggs ?
6. What will 46 pounds of sugar cost, at 8 J cents a pound ?
437. Slate Exeroises.
Multiply :
1. 9,304x28 7. 6,042x88
2. 2,898X38 8. 1,823x98
3. 8,063x48 9. 7,204x27
4. 4,093x68 10. 4,786x37
5. 7,436x68 11. 7,003x47
6. 7,624x78 12. 9,438x67
u
ARITHMETIC.
13.
7,508 X 67
32.
686 X 237
14.
4,606 X 77
33.
417 X 348
15.
4,001 X 87
34.
285 X 457
16.
8,057 X 97
35.
149 X 568
17.
8,924 X 8^
36.
893 X 647
18.
7,634 X 8i
37.
247 X 786
19.
7,837 X 7^
38.
918 X 879
20.
8,766 X 9i
39.
865 X 965
21.
4,269 X 18i
40.
706 X 987
22.
6,987 X 19|
41.
749 X 123^
23.
7,698 X 28f
42.
879 X 234^
24.
7,899 X 39|
43.
872 X 345i
25.
8,907 X 48f
44.
643 X 456|
26.
7,482 X 69|.
45.
654 X 607^.
27.
7,098 X 68f
46.
797 X 708f
28.
6,905 X 79|
47.
468 X 809^
29.
5,407 X 89f
48.
643 X 901J
30.
8,908 X 98^
49.
809 X 706i
31.
792 X 128
'50.
698 X 604|
438. Divide:
51.
98,461 H
- 27
60.
36,186 : 36
52.
87,925 H
- 37
61.
99,328 : 46
53.
47,129 H
- 47
62.
17,441 : 56
54.
89,990 H
- 67
63.
76,370 : 66
55.
21,882-.
'- 67
64.
81,562 : 76
56.
54,754 H
- 77
65.
90,139 -r 86
57.
31,417-
'- 87
66.
30,190^ 96
58.
42,784 -
- 97
67.
17,363 : 273
59.
86,743 -
1- 26
68.
64,071 ^ 372
ROMAN NOTATION.
211
69.
28,181 -
h 476
85.
925,182 -
K 4,756
70.
10,469 -
h 574
86.
669,100 -
h 5,747
71.
55,230 -
h 677
87.
368,325 -
^ 6,774
72.
96,117-
- 776
88.
529,492 -
H 7,765
73.
19,174 -
f~ 879
89.
258,865 -
-r- 8,792
74.
32,430 -
J- 978
90.
748,137 -
■r- 9,783
75.
867,142 -.
- 269
91.
364,570 -,
- 2,692
76.
136,204 -.
- .368
92.
840,910 -
- 3,683
77.
191,602 -i
- 467
93.
137,971 H
- 4,674
78.
514,270 H
- 566
94.
678,457 -
- 5,665
79.
618,642 -
•r- 665
95.
317,857 -
- 6,656
80.
352,170-.
- 764
96.
745,000 -
- 7,647
81.
360,126 -
•r- 863
98.
439,955 -
- 8,638
82.
253,415-
- 962
98.
607,050 H
- 9,629
83.
699,512 -
h 2,738
99.
197,952 -,
- 27,387
84.
736,012 -
h 3,729
100.
200,000 -
H 37,298
439.
SOMAN NOTATION.
1
I
10
X
100
2
II
20
XX
200 CO
3
III
30
XXX
300 CCC
4
IV (5 1)
40
XL (M-io)
400 CD
5
V
50
L
500 D
6
VI
60
LX
600 DC
7
VII
70
LXX
700 DCC
8
VIII
80 LXXX
800 DCCO
9
IX (lO-l)
90
XC (MO 10)
900 CM
1,000 M
2,000 MM
3,000 MMM
CD(aoo-ioo) 4,000 IV
5,000 V
6,000 VT
7,000 vn
8,000 vTn
w-100) 9.000 IX
440. Write in Roman numerals:
101 125 147 169 184 199 214 238
256 279 304 328 345 372 386 399
212
ARITHMETIC.
44L Read:
XCIX
CCCIX
CCOXXIX
CXXI
LXXVIII
CCLXXII
CCIV
CCCXLIX
CCOLXXXV
CCXXIX
LXXXIV
OOXOVIII
442. Write in Boman numerals :
459 563 674 708 891 999
1,123 1,234 1,345 1,567 1,609 1,745
1,001
1,893
443. Read:
CCLXXXIV ' MDCCXXV DCXLIII
MDCLXV CCOLXXXV DCCOXCVI
MDCOXLVIII CDXOVI MDCCCLXXXIX
444. A dash above a letter or combination of letters in
Roman notation increases its value a thousand fold. IV = 4,000,
'K = 10,000.
445. Note. — Owing to it8 very limited application, time should not
be spent unnecessarily on Boman notation.
446. Can you mention some uses ? How is 4 expressed on the
face of a clock? In which other way than the one given can
9 be written with Roman numerals ? 40? 90? 400?
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Hyde's Practical English Grammar. For advanced classes in granunar sdioob and
for high schools. 60 cts.
Hyde's Lessons in English, Book n with Practical Gzammar. The Piacticai
Grammar and Book II bound together. 80 cts.
Hyde's Deriyation of Words. 15 cts.
Penniman's Common Words Difficult to Spell. Gnukd lisu of common words
often misspelled. Boards. 25 cts.
Penniman's Prose Dictation Exercises. Shon extracts fiom the best authon.
Boards. 99 cts.
Spalding's Problem of Elementary Composition. Suggestions for its solution.
doth. 45 cts.
Mathews's Outline of English Grammar, with Selections for Practice.
The application of principles is made through composition of original sentences. 80 cts.
Buckbee'S Primary Word Book. Embraces thorough drills in atticttlation and in the
primary difficulties of spelling and sound. 30 cts.
Serer's Progressive Speller. For use in advanced primary, hi t e r med Ule , and gratt.
mar grades. Gives qielling, pronunciation, definition, and use of words. 30 cts.
Badlam's Suggestiye Lessons in Language. Being Part i and Appemfix of
Suggestive Lessons in Language and Reading. 50 cts.
Smith's Studies in Nature, and Language Lessons. A combinatioa of object
lessons with language work. 50 cts. Part I bound ^e^arately, 35 cts.
MeiklejOhn'S English Language. Treats salient features with a master's skill and
with the utmost deamess and simplicity. #1.30.
MeiklejOhn's English Grammar. Also composition, venificatkm. paraphrasing, elft
For high schools aod colleges. 90 cts.
MeiklejOhn's History of the English Language. 78 pages. Paurtlll of Ear
lish Language above, 35 cts.
Williams's Composition and Rhetoric by Practice. For high sdiool and ooU
lege. Combines the smallest amount of theory with an abundance of practice. Revised
edition. I^i.oo.
Strang's Exercises in English. Examples in Syntax, Acddence, and Style fof
criticism and correcdon. 50 cts.
HuffCtltt'S English in the Preparatory School. Presents advanced methods
of teaching English grammar and compositon in the secondauy schools. 25 cts.
Woodward's Study of English. From primary school to college. 25 cts.
Genung'S Study of Rhetoric. Shows the most practical discipline, as cts.
See also our list of books for the study ofEnglisk Literature,
D. C. HEATH & CO., PUBLISHERS,
BOSTON. ?MRW YORK. CHICAGO.
ELEMENTARY SCIENCE.
Iialley^i Grammar School Physics, a series of inducdve kssons intiM
dL the science. Illustrateri. 60 cts.
Mallard's The World of Matter, a guide to the study of chemistry and minetakgy;
adapted to the general reader, for use as a text-book or as a gdRle to the teadier in giving
object-lessons. 364 pages. Illustrated. %i.oa,
Qaik's Practical Methods in Microscopy. Gives fai deuii descriptions of methods
that wfli lead the careful worker to successful results. 233 pages. Illustrated. ^1.60.
Clarke's Astronomical Lantern, intended to familiarize students with the constella.
tions by comparing them with fac-similes on the lantern face. With seventeen slides,
giving twenty-two constellations. #4 jo.
Clarke's How to find the Stars. Accompanies the above and helps to an acquaintaaoa
with the constellations. 47 pages. Paper. 15 cts.
Onides for Science Teaching. Teachers' aids in the instruction of Natural History
classes in the lower grades.
I. Hyatt's About Pebbles. 96 ps^es. Paper. 10 cts.
IL Goodale*s A Few Common Plants. 61 pares. Paper. 20 cts.
III. Hyatt's Commercial and other Sponges. iTlustratea. 43 pages. Paper. 20 cts.
IV. Agassix's First Lessons in Natural History. Illustrated. 64 pages. Pi^ier.
as cts. •
V. Hyatt's Corals and Echinoderms. Illustrated. 32 pages. Paper. 30 cts.
VI. Hyatt's Mollusca. Illustrated, (c pages. P^per. 30 cts.
VII. Hyatt's Worms and Crustacea. lUustrated. 68 pages. Paper. 30 cta^
VIII. Hvatt's Insecta. Illustrated. 324 paees. Cloth. $1.25.
XII* CrosDy's common Minerals and Rocks. Illustrated, aoo pages. Paper, 40
cts. Qoth, 60 cts.
XIII. Richard's First Lessons in Minerals. 50 pages. Paper. 10 cts.
XIV. Bowditch's Physiology. 58 pages. Paper. 20 cts.
XV. Qapp's 36 Observation Lessons in Minerals. 80 pages. Paper. 30 cta^
XVI. Phenix's Lessons in Chemistry. 20 cts.
Ptapils' Note- Book to accompany No. 15. xo cts.
lUoe'a Science Teaching in the School. With a course of instruction in sdenoe
for the lower grades. 46 pag s. Paper. 25 cts.
Ricks'8 Natural History Object Lessons. Supplies hiformauon on pUmts and
their products, on animals and their uses, and gives specimen lessons. Fully illostraced.
33a pages. #(.50.
Ricks's Object Lessons and How to Give them.
Volume I. Gives lessons for primary grades. 900 pages. 90 cts.
Volume II. Gives lessons for grammar and intermediate grades, aia pages. 90 cts.
Shaler'd First Book in Geology. For high school, or highest cbss in grammar school
27a pages. Illustrated. I^i.oo.
Shaler's Teacher's Methoda in Geology. An aid to the teacher of Geolo0k
74 pages. Paper. 25 cts.
Smith's Studies in Nature. A combination of natnral history lessons and language
work. 48 pages. Paper. 15 cts.
Sntf bf mail postpaid (m receipt cfprice. See also our Hst of books im Sciotsok
O. C. HEATH & CO.. PUBLISHERS,
WQMTO\tt, XSW YORK. CmCA-QO.
READING.
BadUm'8 SncsettlTe Lessons in Langnage and Reading. A nuunai far pii
mary teachers. Plain and practical; being a transcript of work actually done in the
school-room. I1.50.
Badlam's Stepping-Stones to Reading.— A Primer. Supplements the aSj-pace
book above. Boards. 30 cts.
Badlam'S First Reader. New and valuable word-building exercises, designed to foUow
the above. Boards. 35 cts.
Bass's Ifatnra Stories for Yonng Readers : Plant Life, intended to supple-
ment the first and second reading-books. Boards. 30 cts.
Bass's Nature Stories for Tonng Readers : Animal Life. Gives lessons on
animals and their habits. To follow seoond reader. Boards. 40 cts.
Firth's stories of Old Greece. Contains 17 Greek myths adapted for reading in
intermediate grades. Illustrated. Boards. 35 cts.
Fuller's Illustrated Primer. Presents the word-method in a veiy attractive form to
the youngest readers. Boards. 30 cts.
Hall's How to Teach Reading. Treats the important question: what children should
and should not read. Paper, as cts.
Miller's My Saturday Bird Class. Designed for use as a supplementary reader in
lower grades or as a text-book of elementary ornithology. Boards. 30 cts.
Norton's Heart of Oak Books. This aeries is of material from the standard imagin-
ative literature of the English language. It draws freelv upon the treasury of favorite
stories, poems, and songs with which every child should become familiar, and which
have done most to stimulate the fancy and direct the sentiment ol the best men and
women of the English-speaking race. Book I, xoo pages, 95 cts. ; Book II, 149 pasn*
35 cts. ; Book III, 265 pages, 45 cts. ; Book IV, 303 pages, 55 cU. } Book V, 359 page^
65 cts. ; Book VI, 367 pages, 75 cts.
Penniman'S School Poetry Book. Gives 73 of the best sliort poems in the EngUsh
language. Boards. 3 s cts.
Smith's Reading and Speaking. Familiar Talks to thoee who would speak well in
public 80 cts.
Spear's Leaves and Flowers. Designed for supplementary reading in lower grades
or as a text-book of elementary botany. Boards. 30 cts.
Ventura's Mantegazza'S Testa. A book to help boys toward a compltte self-develop-
ment. #x.oo.
Wright's Nature Reader, No. I. Describes crabs, wasps, spiders, bees, and some
uuivalve mollusks. Boards. 30 cts.
Wright's Nature Reader, No. II. Describes anU, flies, earth-worms^ beetles, bar-
nacles and star-fish. Boards. 40 cts.
Wright's Nature Reader, No. III. Has lessons in plant-life, grasshoppers, butter
flies, and birds. Boards. 60 cts.
Wright's Nature Reader, No. IV. Has lessons in geology, astronomy, worldpUlft.
etc. Boards. 70 cts.
D. C. HEATH & CO., PUBLISHERS.
•OBTOK MBW YOftX. CHICAQO,
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I leep Tom CariTFi
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