9. A teacher bought 9 writing-books, at $0.125 apiece. How much did he give for them all? 10. If of a carriage costs $15.75, what is the cost of the whole carriage? 11. A merchant sold of a vessel for $3025.98. What was the whole vessel worth at that rate? 12. If the stock of a Bank is worth $259.875, what is the whole stock worth? 13. A farmer divided his farm among his three sons, the share of each being $449.763. What was the whole worth of the farm? 14. of an estate is valued at $1887.06. What is the value of the estate? 15. If of a pine-apple is worth $0.0625, what is the whole worth? 16. There are 4.995 yards in of a piece of broadcloth; what is the length of the piece? 17. 28.84 is of what number? 18. 36.0097 is of what number? 19. Multiply 6690847.795 by 2. 20. Multiply 84.0897736 by 3. 21. Multiply 1741.9658832 by 4. 22. Multiply 9997894625 by 5. 23. Multiply 368.09288775 by 6. 24. Multiply 911874365.2 by 7. 25. Multiply 27880904376 by 8. 26. Multiply 123456789.09 by 9. 27. What will 79.865 pounds of cheese cost, at 7 cents a pound? 28. What is the product of 79.865 by 7? 29. What is the product of 443.2 by 9? by 6? by 8 ? by 5! 30. What is the product of 9.8764 by 8? by 4? by 9? by 7? by 6? EXAMPLES FOR THE BOARD. If a barrel of flour costs $4.88, what will 15 barrels cost? 4.88 15 The product of 4.88 by 5 units, is 24.40. In multi. plying by 1 ten, the product will be 10 times as large as the product by 1 unit, and each figure will therefore stand 1 place farther to the left. The product by 1 ten is then 48.8, and the sum of the two products, or the 73.20 product by 15, is 73.20. 24.40 48.8 2.440 24.40 48.8 75.640 If a barrel of flour costs $4.88, what will 15.5 barrels cost? 4.88 The units' figure of the multiplier is written under 15.5 the right-hand figure of the multiplicand, because the product of any denomination by units is of the same denomination; i. e. units by units give units, tenths by by units give tenths, and so on. The product by tenths is 10 times smaller than the product by units, and each figure will therefore stand 1 place farther to the right. Therefore in preparing any numbers for multiplication, place the units' figure of the multiplier under the right-hand figure of the multiplicand, and place the first figure of each product under the figure by which you multiply. The separatrix of each product will then fall under that of the multiplicand. A careful examination of this process will show, that there are always as many decimals in the product as there are in both the multiplier and the multiplicand. 31. What is the cost of 2.2 barrels of flour, at $4.88 a barrel? What is the cost of 6.6 barrels at the same rate? 7.8 barrels? 11.9 barrels ? 32. If a ton of iron costs $128.75, what is the cost of 16 tons? 33. A farmer bought 18 cows, at $25.50 apiece. What did they all cost? 34. What must I pay for 76 bushels of wheat, at $1.125 a bushel? 35. What will be the wages of a labourer for 28 weeks, at $2.75 per week? 36. When sugar is $6.125 per hundred weight, what will be the cost of 4.5 hundred weight? 37. If a barrel of cider costs $1.875, what will 4.25 barrels cost? 38. If a barrel of apples costs $2.0625, what will 5.8 barrels cost? 39. What will 19.2 tons of hay cost, at $9.75 per ton? 40. How many yards are there in 96.5 pieces of broadcloth, there being 21.7 yards in each piece? 41. If a man can build 9.473 rods of wall in a day, how much can he build in 5.25 days? 42. If a box of oranges costs $2.51, how much will 879 boxes cost? 43. How many gallons of molasses will 488 casks hold, if each cask holds 94.125 gallons? 44. What will 9.25 yards of broadcloth cost, at $5.95 a yard? 45. How many pounds of wool will it take to make 49 pieces of broadcloth, each piece being 21.5 yards long, if 2.5 pounds will make one yard? 46. What must I pay for 18.5 pieces of cloth, there being 35.75 yards in each piece, at 15 cents a yard? 47. How many quarts are there in 13 hogsheads, there being 4 quarts in a gallon, and 63 gallons in a hogshead? 48. 12 inches make one foot, and 3 feet make one yard. How many inches are there in 1 yard? In 16.25 yards? 49. What will 6.789 cords of wood cost, at $5.67 a cord? 50. If a carriage-wheel is one rod in circumference, how often will it turn round in going 1 mile, or 320 rods? In 16.4 miles? 51. 112 pounds make a hundred weight. What will 4.35 hundred weight of sugar cost, at 8 cents a pound? 52. What is the product of 16.488 by 29.76? EXAMPLE FOR THE BOARD. Multiply 2287096 by 308400. 2287096 The product of 0, by any number, is always 308400 0. Then, whenever 0 occurs in the multiplier, write 0 beneath it, for its product-and proceed to the next figure. 914838400 18296768 68612880 705340406400 59. Multiply 896.23 by 40060. 63. If a pound of figs costs $0,125, what will 4050 pounds cost at the same rate? 64. Multiply .047 by .0304, and place Os in the vacant decimal places. .65. What will .501 pounds of raisins cost, at .0875 cents a pound? 66. Find .04008 of .00639. 67. Multiply .00940983 by 6050500. 68. Multiply .487006 by 99087000. 69. Multiply .0008807695 by 300950. 70. Find .004009 of .0706. 71. Find .0009087 of 649088. 72. Find .029501 of .00086473. 73. If a bushel of oats costs $0.375, what will 4 bushels cost? What will 7 times 4, or 28 bushels cost? 74. If a horse run 8.61 miles an hour, how far will he run in 5 hours? In 3 times 5, or 15 hours? 7 and 4 are called factors of 28. In like manner 3 and 5 are factors of 15; 2 and 7 of 14; 3 and 2 and 4 of 24, and so on. Now, whenever the multiplier can be resolved into two or more factors, the product may be obtained, either by employing the whole multiplier, or each of its factors, in succession. 75. If Charles obtains 19 merit marks in a week, how many will he obtain in 35 weeks, or 7 times 5 weeks? 76. If I pay $0.75 for reaping an acre of wheat, how much must I pay for reaping 24 acres, or 2 times 3 times 4 acres? 77. If a lamp burns .276 pints of oil in an evening, how much will it burn in 36 evenings? 78. How far would a bird fly in 42 hours, at the rate of 17.54 miles an hour? 79. If a wheel turns round 441.5 times in going a mile, how many times would it turn, in 25 miles? 80. If 19.41 gallons of water run from a cistern in an hour, how many gallons will run out in 16 hours? 81. What must I give for 81 gallons of molasses, at $0.375 per gallon? 82. How many passengers can ride in 18 cars, each car holding 36 persons? 83. Multiply 4099.62 by 64; by 72; by 45. |