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557. Three times 3 tenths equals how many tenths ?

[blocks in formation]

13.6

30.0

3.300

7.00

.3960

558. The products are 13.6, 30, 3.3, 7, and .396 ; the ciphers to the right of the decimals, having no value, are omitted in giving the answers.

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5. 5.71 x 1,000

561. Give quotients :

10.

5.17 x 10

11. 932 + 100

16.

684 100

12.

86 + 1,000

17.

7.6 : 10

13. 328 - 10

18.

24.3 : 100

14.

19.

8.75 + 10

9: 1,000 48 + 1,000

15.

20. 932.5 : 100

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563. Where it is necessary, ciphers may be annexed to the right of the decimal in the dividend. 8).12 15).06

1.875 .015

.004

64) 120.

560
.012
.413

480
125) 1.5
21) 8.673

320
250

27 0

63

564. Divide :

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11. 25) 1.00
12. 4)21.80
13. 8).2
14. 13)3.913
15. 12) 48.12
16. 11) 70.07
17. 24) 36.6
18. 18).576
19. 25) 11.1
20. 32) 62.000

26. 125 27. 100= 28. 48.50 29.5888= 30. 18

565. Slate Problems.

31. A franc is 19.3 cents. Find the cost in United States money of goods amounting to 1,250 francs.

32. A merchant bought 1,800 meters of silk. How many yards did he buy, a meter being 39.37 inches ?

33. A kilogram is 2.2046 pounds. What is the difference in weight between the English ton of 2,240 lb. and a French ton of 1,000 kilograms ?

34. A cubic foot of water weighs 1,000 ounces. pounds does a cubic foot of gold weigh, gold being 19.4 times as heavy as water?

35. There are 128 cubic feet in a cord. How many tons of 2,000 lb. are there in a cord of pine wood, the latter being .66 times as heavy as water?

36. A man buys three plots of ground containing 35.27, 17.8, and 40.375 acres, respectively. Find the total cost at $36 per

How many

acre.

37. How many pints are there in 2.375 gallons ? 38. What decimal of a peck is a quart?

39. What will be the cost of carrying 468 tons of coal at $0.125 per ton ?

40. A farmer sold one-eighth of his farm of 224.2 acres at $62.50 per acre. How much did he receive for it?

41. How long is a post which is 5 feet above water, onehalf of its length in the water, and one-fourth of its length in the mud? (Diagram.)

42. Eight pounds of black tea costing 35€ per lb. are mixed with twelve pounds of green tea costing 50$ per lb. What is the cost of a pound of the mixed tea ?

43. How many bushels, pecks, and quarts, are there in 1,449 pounds of corn weighing 56 lb. per bushel?

MEASUREMENTS.

569. Preliminary Exercises.

Draw a square each side of which is one inch. This is called a square inch.

Draw a rectangle two inches long, one inch wide. How many square

inches will it contain ? Draw a rectangle three inches long, two inches wide. Divide it into one-inch squares. Count them. How many are there? How many square inches in the rectangle ?

How many square inches in a rectangle 6 inches long, 3 inches wide ?

How many square inches in a rectangle 4 inches long, 4 inches wide ?

About how long is your slate? About how wide? About how many square inches are there in its surface ?

How many square inches are there in a rectangle 12 inches long, 3 inches wide ? In a rectangle 1 foot long, 3 inches wide ? In a rectangle 1 foot 1 inch long, 4 inches wide ?

570. Slate Exercises.

How many square inches in each of the following rectangles ? 1. 13 in. by 14 in. 5. 21 in. by 19 in. 9. 18 in. by 22 in. 2. 17 in. by 9 in. 6. 37 in. by 14 in. 10. 64 in. by 29 in. 3. 18 in. by 7 in. 7. 13 in. by 42 in. 11. 1 ft. by 7 in. 4, 23 in. by 15 in. 8. 27 in. by 31 in. 12. 1 ft. 1 in. by 11 in

571. Note. Change each dimension to inches before multiplying.

13. 1 ft. 3 in. by 12 in.
14. 1 ft. by 1 ft.
15. 1 ft. 4 in. by 1 ft.
16. 2 ft. 6 in. by 1 ft.

17. 2 ft. 6 in. by 1 ft. 3 in. 18. 3 ft. 7 in. by 2 ft. 9 in. 19. 4 ft. 11 in. by 1 ft. 8 in. 20. 5 ft. 3 in. by 2 ft. 11 in.

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