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ARITHMETIC.

PART I.

SIMPLE NUMBERS.

of

1. Three is an exact divisor of 6, of 9, of

and of

Four is an exact divisor of

2. Eighteen is exactly divisible by 2, by

and by

28 is exactly divisible by

3. Two is an exact divisor of 4, 6,

- of

by

etc.

4. A number that is exactly divisible by 2 is called an

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etc.

5. Two is not an exact divisor of 1, 3, 5,

6. A number that is not exactly divisible by 2 is called an odd number; 9, 11,

bers.

7. 37 is an

number.

24 is an

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8. Tell which of the following are odd numbers and which are even numbers: 375, 256, 320, 197, 281, 378, 584, 252, 323, 569.

(a) Copy the numbers given in problem 8 and find their

sum.*

(b) Find the sum of all the odd numbers from 1 to 15 inclusive.

(c) Find the sum of all the even numbers from 2 to 16 inclusive.

* Problems designated by letters are for the slate.

FRACTIONS.

1. When two or more fractions have denominators that are alike, they are said to have a common denominator.

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6. Add ğ and . I can change eighths and thirds to

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(d) Find the sum of 5765 and 239.

7. From subtract. I can change sevenths and thirds to -sts. 흉 5

21

twenty-firsts — twenty-firsts.

twenty-firsts less

(e) Find the difference of 572% and 3681.

8. Divide by This means, find how many times 2 is contained in I can change to twentieths.

3

20

3

4.

1 twentieth is contained in

times. Story.*

twentieths

(f) Find the quotient of 43 divided by (Change 41 to twentieths.)

Story.†

(g) 147+38. (h) 374-1814. (i) 27 bu. + 2 bu.‡

21

*See Note (9) page 6.

+See paragraph 2, page 10.

Tell the meaning. Change 271 and 21 to halves. Story.

See note (14) page 7.

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(d) Find the quotient of .375 divided by .005. Story.†

10. Divide .035 by 7. This means

5*

(e) Find the quotient of 35.049 acres divided by 7. Story.

11. At $.05 each, for $1.25 I can buy

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pencils. 1.25

pencils. 2.05 =

(h)

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Multiply.

7.0541

Divide.
$.005)$.3858

Divide.

5)$.385$

5

*These figures refer to notes on page 8.

See page 10, paragraph 2.

Write the decimal point in the product immediately after writing the tenths' figure of the product.

"Point off" in division of decimals by thinking what the problems mean. Problem (i) means, find how many times 5 thousandths arc contained in 385 thousandths. 5 thousandths are contained in 385 thousandths 77 times. Problem (j) means, find 1 fifth of 385 thousandths. of 385 thousandths is 77 thousandths, or .077.

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11. When hay is $12 a ton, 1000 lb. cost 12. When coal is $8 a ton, 1500 lb. cost 13. When meal is $16 a ton, 500 lb. cost 14. When hay is $6 a ton, 200 lb. cost 15. When hay is $7 a ton, 200 lb. cost 16. When hay is $5 a ton, 200 lb. cost 17. When hay is $8 a ton, 200 lb. cost 18. When hay is $6 a ton, 2200 lb. cost 19. When hay is $8 a ton, 2200 lb. cost

20. When hay is $5 a ton, 2200 lb. cost

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25. When hay is $12 a ton, 2500 lb. cost

26. When hay is $10 a ton, 3000 lb. cost

27. When hay is $8 a ton, 4500 lb. cost

*When you see a load of hay or a load of coal, courteously ask the man in charge of it to tell you how much it weighs.

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10. The solid content of a 2-inch cube is 11. The area of a 3-inch square is

inches.

12. The solid content of a 3-inch cube is

13. The area of a 2-foot square is
14. The solid content of a 2-foot cube is
15. Find the area of-

feet.

Find the solid content of--*

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