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? 85. Multiply mentally, 21 by 11; 16 by 15; 29 by 16; 70 by 25; 32 by 12; 62 by 11; 44 by 13; 17 by 14; 24 by 19; 35 by 14; 41 by 13; 78 by 11; 22 by 14; 33 by 19; 48 by 13; 84 by 11; 15 by 21; 51 by 17; 63 by 12; 22 by 26; 41 by 19; 77 by 12; 83 by 16; 87 by 15; 92 by 20; 83 by 40; 64 by 60. CHAPTER V. DIVISION. EXAMPLE FOR THE BOARD. If 3 pieces of cassimere cost $150.75, what will 1 piece cost? Divisor. Dividend. 3) 150.75 Quotient, 50.25 Having written the numbers as in the margin, we find that the 1 hundred does not contain 3; we therefore divide first the 15 tens. 15 tens divided by 3, are 5 tens; 0 units divided by 3 are 0 units; 7 tenths divided by 3 are 2 tenths and there is 1 tenth over; this 1 tenth, joined to the 5 hundredths, gives 15 hundredths, which, divided by 3, give 5 hundredths. 1. If 4 barrels of flour cost $20.90, what will one cost? 2. If a locomotive goes 126 miles in 6 hours, how far will it go in 1 hour? 3. A grocer paid $8.92 for 4 barrels of cider; what was that a barrel? 4. A farmer sold 5 bushels of wheat for $5.05. How much did he receive per bushel? 5. If a bird can fly 51.24 miles in 3 hours, how far can it fly in 1 hour? 6. A garrison consumes 16.8018 barrels of flour in 2 weeks; how much does it consume in 1 week? 7. The cashier of a Bank receives $510.65 for 5 months' services. How much would he receive for 1 month? 8. A certain creek discharges 1540182 gallons of water in a week. What quantity is discharged daily? 9. Nine men travelling together, found their expenses were $765.72. What was each man's share? 10. There are 42240 feet in 8 miles. How many feet are there in 1 mile? 11. How many cakes can I buy for 96 cents, at 4 cents apiece? 12. How many hours will it take me to ride 196 miles, if I ride 7 miles an hour? 13. How many hours will it take a ship to sail 3294 miles, sailing 9 miles an hour? 14. How many yards are there in 240123 feet, there being 3 feet in a yard? 15. How many weeks are there in 630014 days? 16. How many sheep can I buy for 280920 dollars, if I pay 4 dollars apiece? 17. If $1320.054 be divided equally among men, what will be each man's share? 18. If a family of 8 persons receive a fortune of $9600.48, what will be the share of each? 19. A dairy-woman makes cheeses, that weigh 9 pounds apiece. How many cheeses will weigh 198.0189 pounds? 20. A benevolent society distributed 11208 loaves of bread among a number of poor people, giving 8 loaves to each person. How many persons did they assist? 21. Divide 70196 by 7. 24. Divide 3878.04 by 6. 25. Divide 595.085 by 5. 26. Divide 3440000 by 4. 27. Divide 108007389 by 9. 28. How many rows of marbles, 8 in a row, can be made with 66880 marbles? 29. If 1 barrel holds 3 bushels of apples, how many barrels will hold 111000 bushels? 30. If 7 horses eat 15.4091 tons of hay in a year, how much will 1 horse eat? 31. If 8 yokes of oxen can draw 9.616024 tons of stone, how much can 1 yoke draw? 32. If I pay 9 dollars for 2.700558 yards of cloth, how much can I buy for 1 dollar? 33. What is the quotient of 885.00175 by 5? 34. What is the quotient of 11790.03014 by 7? 35. What is the quotient of 1234004213 by 9? 36. What is the quotient of .29631003 by 3? 37. What is the quotient of 9087002914 by 4, and what is the remainder after division? If that remainder be divided by 4, what fraction shall we obtain? Then what is the true quotient? Ans. 22717507282. 38. Divide 3360001907 by 6, and make a fraction of the remainder. 39. Divide 4409000 by 7, and make a fraction of the remainder. 40. Divide 830083003 by 8, and make a fraction of the remainder. 41. Divide 4770001 by 9, and make a fraction of the remainder. 42. Divide 285015 by 3, and prove the work by multiplying the quotient and divisor together. This product, if the answer is correct, will be equal to the dividend. |