1728 3000 5184000 3000 Explanation. 3 times 1000; 1728 multiplied by 1000 1,728,000; 1728 multiplied by 3000 3 times 1,728,000, or 5,184,000. 5184 Or, we may say: "1728 times 3 thousands thousands; but 5184 thousands = 5,184,000 units. Hence, the product is 5,184,000." RULE. 1. Cut off the ciphers from the multiplier. 2. Multiply by the significant figure. 3. To the product annex the ciphers cut off. To apply the rule: 4. Multiply 1898 by 400. Process. 1898 Explanation. Having cut off the two ciphers, we then multiply 1898 by 4 and obtain 7592. Annexing the two ciphers, we have 759,200. 400 759200 375 243 1125 1500 750 91125 Explanation. We write the multiplier under the multiplicand, units under units, etc. 375 multiplied by 3 units 1125 units. (Why?) = 1500 tens. (Why?) 375 multiplied by 4 tens Writing these three products in order as units, tens and hundreds, and adding, we have as total product 91,125. 18. 3496 by 68. 19. 3795 by 47. 20. 5368 by 72. 21. $46.96 by 46. 22. $27.30 by 78. 23. $35.29 by 40. 24. $35.46 by 54. 25. $34.10 by 76. 26. $59.42 by 79. 27. $29.68 by 80. 28. $38.96 by 43. 29. $29.875 by 50. 30. $68.57 by 65 48. 935802 by 9358. 49. 215090 by 7809. 50. 195833 by 9800. 51. 370184 by 10708. 52. 508199 by 25409. 53. 190199 by 89760. 54. 280755 by 20499. 55. 162788 by 72644. 56. 320988 by 23577. 57. 684579 by 323500. 58. 123456 by 789000. 59. 987643 by 210034. 60. 567890 by 123456. WRITTEN PROBLEMS. 1. In one barrel of flour there are 196 pounds. How many pounds in 434 barrels ? 2. A railway train travels an average of 235 miles per day. How far does it travel in 31 days? 3. There are 1760 yards in one mile. How many yards in 397 miles? 4. If a man travels 30 miles in one day, how many miles will he travel in 49 days? 5. A farmer raised 1448 bushels of wheat, which he sold at 76 cents per bushel. How much did he receive for it? 6. I sold my farm of 302 acres at $105 per acre. How much did I get for it? 7. Find the cost of 759 articles costing $5.77 each. 9. There are 5280 feet in a mile. How many feet are there in 17 miles? 10. How many oranges are there in 47 boxes, if each box contains 189 oranges? 11. How many pounds of hay will 299 acres produce, if each acre produces 2178 pounds. 12. There are 4840 square yards in an acre. How many square yards in 127 acres? 13. If a state has an area of 8040 square miles, and a population of 279 to the square mile, what is the population of the state? 14. A merchant purchased 30 pieces of broadcloth, each containing 50 yards, at $8 per yard. How much did he pay for the whole? 15. I sold 27 loads of wheat, 35 bushels in each, at 93 cents a bushel. How much money did I receive? ORAL REVIEW. 1. What is the cost of 2 oranges at 5 cents each and 4 bananas at 3 cents each? 2. I bought 2 slates at 15 cents apiece and 3 pencils at 4 cents each. How much did I pay for all? 3. I bought 3 pencils at 4 cents each and 4 oranges at 5 cents each. How much did I pay for all? 4. If a man earns $6 per week and a boy earns $3 per week, how much more will the man earn in 12 weeks than the boy? 5. A farmer has 30 bags of wheat, each containing 3 bushels. How much is the wheat worth at $1.00 per bushel? 6. If 6 teams can plough a field in 4 days, how long will it take one team to do the same work? 7. William has 25 cents and Harry has 4 times as many plus 10. How many has Harry? 8. A man bought a plough for $13 and 3 harrows at $9 apiece. How much did he pay for all? 9. How much must I pay for 3 books at 30 cents each and 5 at 25 cents each? 10. A matron purchased 4 bunches of asparagus at 10 cents a bunch and 5 quarts of strawberries at 13 cents each. How much did she pay for all? 11. George earned 95 cents a day; his board cost him 55 cents a day. How much did he save in 20 days? 12. A gallon contains 4 quarts, and a quart 2 pints. How many pints in 6 gallons? |