557. Three times 3 tenths equals how many tenths ? 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. 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 : 100 563. 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. 560 480 320 27 0 63 564. Divide : 11. 25) 1.00 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. 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. |