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ARITHMETIC.

PART I.

SIMPLE NUMBERS.

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

Four is an exact divisor of
2. Eighteen is exactly divisible by 2, by by

28 is exactly divisible by
3. Two is an exact divisor of 4, 6,

etc. 4. A number that is exactly divisible by 2 is called an even number; 8, 10,

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

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

are odd numbers. 7. 37 is an

number.
24 is an

number. 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. I's, is, is, and have a

s and do not have

a

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Reduce to equivalent fractions having a common denominator.
2. }, }, 1
(Change to 12ths.)

J
3. }, \, *
(Change to

1
4. , 4
. (Change to :)

1/4
5. 1 4. (Change to

1/4 (a) i and 4. (b) and (C) and

ths. Š

27

24

6. Add á and j. I can change eighths and thirds to

twenty-fourths and twenty-fourths = twenty-fourths.

(d) Find the sum of 576 3 and 2394:

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7. From subtract 1. I can change sevenths and thirds to - sts.

twenty-firsts less twenty-firsts = twenty-firsts.

(e) Find the difference of 572, and 368.

4.

4

3 4

20

8. Divide å by zo. This means, find how many times 25 is contained in 3 I can change to twentieths.

1 twentieth is contained in twentieths times. Story.*

(f) Find the quotient of 4 divided by zo. (Change 41 to twentieths.) Story.t

(g) 147}+383. (h) 3743 - 1815. (i) 27} bu. = 24 bu. I

* See Note (9) page 6.

+ See paragraph 2, page 10. Tell the meaning. Change 274 and 2) to halves. Story.

See note (14) page 7. *These figures refer to notes on page 8. + See page 10, paragraph 2.

DECIMALS- THOUSANDTHS.

1. .125 and .006 are
2. .125 and .06 are
3. .125 and .6 are
4. .275 less .006 are
5. .275 less .06 are

thousandths. thousandths. thousandths.

thousandths. thousandths.

6. 2.4 and 3.104 are and thousandths. (a) Add 27.006, 14.8, and 25.06.

7. 36.025 less 1.008 equals and thousandths. (b) From 8.175 subtract 3.023. 8. 3 times 2.005 is and thousandths. (c) Multiply 26.008 by 4. 9. Divide .035 by .007. This means (d) Find the quotient of .375 divided by .005. Story.t 10. Divide .035 by 7. This means (e) Find the quotient of 35.049 acres divided by 7. Story. 11. At $.05 each, for $1.25 I can buy pencils. 1.25

4*

5*

1.05

12. At $.05 each, for $2 I can buy pencils. 2+.05 = (f) (8) (h)

(i)

(j) Add. Subtract. Multiply. Divide.

Divide. 46.27 54.75 7.0541 $.005)$.3858 5)$.3855 25.308 8.326

5

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

2" 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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pounds.*
pounds.*

1. 500 lb. are

of a ton. 2. 1500 lb. are

of a ton. 3. 1000 lb. are

of a ton. 4. 200 lb. are

of a ton. 5. I weigh

pounds. 6. My father's horse weighs pounds. 7. A keg of nails weighs 100 pounds. 8. One ton of nails is

kegs. 9. A load of hay weighs from to 10. A load of coal weighs from to 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 21. 2500 lb. are and

tons. 22. 3000 lb. are and

tons. 23. 4500 lb. are and

tons. 24. 5000 lb. are and

tons. 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

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* 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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inches.

9. The area of a 2-inch

square

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

square

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

inches.

13. The area of a 2-foot

square
is

feet. 14. The solid content of a 2-foot cube is 15. Find the area of — Find the solid content of-.*

(1) A 4-inch square. (a) A 4-inch cube.
(2) A 5-inch square.

(b) A 5-inch cube.
(3) A 6-inch square. (C) A 6-inch cube.

(4) A 12-inch square. (d) A 12-inch cube. *Problems designated by letters are for the slate.

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