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LESSON XLIII.

In 12 cents?

In 15 days?

1. How many times 2 cents in 10 cents? 2. How many times 3 days in 12 days? 3. How many times 4 plums in 12 plums? In 16 plums? 4. How many times 5 hours in 15 hours? In 20 hours? 5. At 5 cents each, how many toys can be bought for 20 cents?

SOLUTION.-As many toys as 5 cents are contained times in 20 cents, which are 4 times. Hence 4 toys can be bought for 20 cents. 6. At 2 cents each, how many pears can be bought for 10 cents?

7. How many quarts of milk at 4 cents a quart, can be bought for 16 cents?

8. If 1 lemon cost 3 cents, how many lemons can be bought for 15 cents?

9. To how many boys can you give 12 apples, if you give them 4 apples apiece?

10. How many hats can be bought for 25 dollars, at 5 dollars apiece?

11. Ella paid 20 cents for some ribbon, at 5 cents a yard. How many yards did she buy?

12. Clarence gave 16 cents for some tops, at 4 cents a piece. How many tops did he buy?

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LESSON XLIV.

EQUAL PARTS OF NUMBERS.

1. If 6 oranges are divided equally between 2 girls, into how many equal parts are the oranges divided? 2. When a number is divided into 2 equal parts, what is one of the parts called? One-half of the number. 3. How many oranges are one-half of 6 oranges?

666

6 ÷ 2 = 3,

or one-half of 6 is 3.

4. How many boys are one-half of 8 boys?

5. How many peaches are one-half of 10 peaches? 6. If you put 10 bushels of apples into 2 boxes, what part of the whole do you put into 1 box?

7. Instead of finding how many times one number is contained in another of the same kind, it is sometimes required to divide a number into equal parts. The operation in both cases is the same, but the reasoning is somewhat different. Thus,

8. At 3 cents each, how many pears can be bought for 6 cents?

SOLUTION.-As many pears as 3 cents are contained times in 6 cents, which are 2 times. Hence 2 pears can be bought for 6 cents. 6 ÷ 3 = 2.

9. Again, if 2 pears cost 6 cents, what will 1 pear cost?

SOLUTION.-If 2 pears cost 6 cents, 1 pear will cost one-half of 6 cents, which is 3 cents. 6 ÷ 2 = 3.

10. If 12 cherries are divided equally among 3 boys, into how many equal parts are they divided?

11. When a number is divided into 3 equal parts, what is one of the parts called? One-third of the number. 12. How many cherries are one-third of 12 cherries?

12÷ 3 = 4,
=

or one-third of 12 is 4.

13. How many cents are one-third of 9 cents? 14. How many marbles are one-third of 15 marbles? 15. If 12 pinks grow upon 4 stems, each containing an equal number, how many grow upon each stem?

16. When a number is divided into 4 equal parts, what is one of the parts called? One-fourth of the number. 17. How many pinks are one-fourth of 12 pinks?

12 ÷ 4 = 3,

or one-fourth of 12 is 3.

18. How many dollars are one-fourth of 8 dollars? 19. What is one-fourth of 12? Of 16 ? Of 20? 20. When a number is divided into 5 equal parts, what is one of the parts called? One-fifth of the number. 21. How many balls are one-fifth of 20 balls?

20 ÷ 5 = 4, or one-fifth of 20.

22. How many cents are one-fifth of 15 cents?

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5. How many halves in any thing? How many thirds in any thing? How many fourths in any thing? How

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10. How do you obtain one-half of a number? Onethird of a number? One-fourth of a number? Onefifth of a number?

11. If 20 marbles be divided equally among 4 boys, how many marbles will each boy receive?

SOLUTION.-Since 20 marbles are divided equally among 4 boys, one boy will receive one-fourth of 20 marbles, or 5 marbles.

12. If 3 books cost 15 cents, what is the cost of 1 book? 13. Write on your slates, in a column, all the num bers from 10 to 20. Read them.

14. Write the numbers from 20 to 30, and read them. 15. Write the numbers from 30 to 40, and read them. 16. In a similar manner write and read the numbers from 40 to 50. From 50 to 60. From 60 to 70. From From 80 to 90. From 90 to 100.

70 to 80.

17. How many figures are required in writing each number from 9 to 99 ?

LESSON XLVI.

1. How many are 5 and 1? 3 and 3? 4 and 2 ? 2. How many are 6 and 6 more? 12 and 6 more? 3. How many are 18 and 6? 4. How many are three 6's? 5. Count by 6's to 12. To 18. 6. How many are 30 less 6?

12 less 6? 6 less 6?

24 and 6?

Four 6's?

Five 6's?

To 30.

24 less 6?

18 less 6?

To 24.

7. Begin with 1 and count by 6's to 13. To 19. To 25. 8. Begin with 2 and count by 6's to 20. To 26. To 32.

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EXERCISES FOR THE SLATE AND BOARD. 13. Copy and add or count the following:

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661

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