Find the products of: 1. 5 x 0.3. 2. 8 x 0.27. 3. 12 x 0.375. 4. 15 x 0.256. 5. 9 × 0.7. 6. 6 x 0.75. 7. 16 x 0.284. 8. 11 x 0.386. 9. 10 x 0.65. 10. 100 x 0.721. 11. 1000 x 3.736. 12. 1000 x 0.074. 13. 10 x 0.99. 14. 100 x 0.615. 15. 1000 x 2.409. 16. 1000 x 0.055. 17. 0.5 x 37. 18. 0.9 × 99. 19. 0.25 x 428. 20. 0.36 x 7384. 21. 0.9 × 26. 22. 0.7 × 67. 23. 0.48 x 237. 24. 0.18 x 3692. 25. 0.312 x 425. Ex. 55. 26. 0.716 x 388. 27. 0.725 x 96. 28. 0.085 x 88. 29. 0.624 × 617. 30. 0.358 x 776. 31. 0.145 x 48. 32. 0.017 x 44. 33. 57 x 9.4. 34. 26 X 3.8. 35. 3 x 972.3. 36. 65 × 87.2. 37. 2.8 × 83. 38. 3.2 x 64. 39. 7.8 x 369. 40. 3.7 x 815. 41. 1.44 × 9.6. 42. 2.88 x 4.8. 43. 3.21 x 72.5. 44. 2.16 x 40.7. 45. 3.26 x 4.37. 46. 2.03 x 3.207. 47. 2.472 x 9.525. 48. 3.264 x 3.045. 49. 0.7 x 0.5. 50. 0:9 × 0.57. 51. 0.45 x 0.57. 52. 0.72 x 0.324. 53. 0.6 x 0.9. 54. 0.8 x 0.96. 55. 0.72 × 0.72. 56. 0.36 x 0.648. 57. 416 x 0.416. 58. 57 x 0.015. 59. 693 X 0.83. 60. 4.625 x 7.14. 61. 99.9 X 4.09. 62. 753 × 0.672. 63. 928 x 8.302. 64. 56.704×0.413. 65. 2.052×0.0037. 66. 0.00948 × 29. 67. 372 × 0.468. 68. 9.43 × 0.054. 69. 786 x 3.62. 70. 0.632 × 85. 71. 2.406 × 0.008. 72. 6824 × 3.7. 73. 42.53 × 0.685. 74. 0.832 × 59. 75. 763.24 × 4.078. DIVISION OF DECIMALS. 84. In Division, if the dividend and divisor are both multiplied or both divided by the same number, the quotient is not changed. Thus, 18÷6=3, and (when both dividend and divisor are multiplied by 2) 36 ÷ 12 = 3. Again (when both dividend and divisor are divided by 2). 9÷3 H 3. If, therefore, the divisor contains decimal places, we may remove the decimal point from the divisor, provided we carry the decimal point in the dividend as many places to the right as there are decimal places in the divisor. Divide 78.528 by 0.8. 8)785.28 98.16 Here the decimal point is removed from OPERATION. the divisor, and the decimal point in the dividend is carried one place to the right; that is, both dividend and divisor are multiplied by 10. When the divisor is a whole number, each quotient figure is of the same order of units as the right-hand figure of the partial dividend used in obtaining it. Hence, the decimal point is put in the quotient as soon as the decimal point in the dividend is reached. Divide 28.3696 by 1.49. OPERATION. 19.04 149) 2836.96 149 1346 1341 596 ⚫596 Here the decimal point is removed from the divisor, and is moved two places to the right in the dividend; in other words, both dividend and divisor are multiplied by 100. If the divisor is not contained in the dividend without a remainder, ciphers may be mentally annexed to the dividend, and the division continued. Divide 0.39842 by 3.7164 to four decimal places. OPERATION. 0.1072 37164) 3984.2 37164 267800 260148 76520 74328 2192 If the divisor is a whole number, and ends in zeros, we may cut off the zeros from the divisor, and move the decimal point in the dividend as many places to the left as there are zeros cut off. Divide 42.08 by 8000. OPERATION. 8) 0.04208 Here the three zeros are cut off from the divisor, and the decimal point in the dividend is moved three places to the left. In other words, both divisor and dividend are divided by 1000. 23. 5.4182.58. 24. 0.59064 0.0276. 25. 0.73807÷0.023. 26. 15.4546 ÷ 0.019. 27. 6.7288÷ 64.7. 28. 72.36 144. 29. 0.01124 ÷ 11.24. 30. 15.625 ÷ 5. 31. 8.192 0.00128. 32. 0.00512 ÷ 2.048. 33. 0.00972÷ 0.0004. 34. 0.07504 ÷ 23.45. 35. 15.2111.7. Ex. 57. 1. To enclose a certain lot 225 yards of fence are needed. What will be the cost of the fence at the rate of $0.50 a yard? 2. A section of land costs $49,878; what must be paid for 0.375 of a section? 3. When 0.7 of a ton of coal is worth $6.30, what will be the cost of 12.5 tons? 4. Coal being worth $7.00 per ton, what part of a ton can be bought for $2.59? 5. If a man can build 0.45 of a rod of wall in one hour, how many rods will 4 men build in 3.8 days, working 7.5 hours per day? 6. Twelve dozen penknives cost $90. If they are sold at $0.75 each, what will be the gain on each? 7. Divide $125.15 by $25.03. 8. Twelve yards of velvet cost $150. what must be paid for 18 yards? At that rate, 9. What will be the cost of 9.75 cords of white oak wood 10. Twenty-five hundredths of a farm cost $5000; what will nine-tenths of it cost? 11 A merchant bought 575 pounds of sugar for $51.75; he sold four-tenths of it at $0.11 per pound, and the remainder at $0.125. What was his gain? 12. A railroad train has 201 miles to run. If it averages 26.8 miles per hour, how many hours will be required? |