A decimal is divided by a decimal by moving the decimal point in both dividend and divisor the number of places to the right necessary to make the divisor a whole number, and dividing as in the division of a decimal by an integer. Written Work 1. Divide .025 by .05. Make the divisor an integer by moving .05).025 _5.)2.5 the decimal point two places to the right 0.5, Ans. in both dividend and divisor. Then solve as in dividing a decimal by an integer. Divide: 2. .325 by .5 11. 2.538 by .27 20. .0095 by .19 3. .756 by .9 12..5655 by .65 21. 20.25 by .45 4. 6.96 by .8 13. .6150 by .82 22. 6.192 by .72 5. .444 by .6 14. 27.93 by .57 23. 3.360 by .35 6. .888 by .12 15. 52.51 by .59 24. 2.016 by .72 7. 1.445 by .17 16. 6.216 by .74 25. 826.5 by .95 8. 2.695 by .35 17. .6225 by .75 26. 375.2 by .56 9. 3.528 by .42 18. 8.930 by .94 27. 7.728 by .84 10. 3.034 by .37 19. 440.8 by .58 28. 8.025 by .25 39. 40.049 ; 1.23. 1.23)40.098 = 123.)4009.8 Find quotients : 29. .005 + 5 30. .625 +.05 31. 5.55 + 5 32. 17.28 : .12 33. 3.036.06 34. 3.728 + .016 .864.24 36. 3.654 • .21 37. 10.044 :.36 38. 8.007 _ .03 41. 35. 40. 55.968:1.32 97.875 +2.61 42. 437.836 _ 5.32 43. 214.302 + 3.82 44. 46.695 - 1.65 45. 139.956 • 3.21 46. 86.784 • 2.26 REVIEW OF DECIMALS 1. At $8.25 per ton, how many tons can be bought for $41.25 ? 2. From five hundred eighty and sixty-seven ten-thousandths take ninety-six and forty-nine thousandths. 3. John has .75 of $2 and spends .3 of it. How much does he save? 4. If a car conductor earns $1.75 a day, how long will it take him to earn $638.75 ? 5. If 8.75 tons of coal cost $44.80, how many tons can be bought for $21.76? 6. If I paid $720 for land at $37.50 an acre, how many acres did I purchase ? 7. How many tons are there in 27 tons, 15.7 tons, 9 tons, and 33.5 tons ? 8. To the sum of 14.5 and 9.7 add their difference. ton? 10. The distance from Pittsburg to San Francisco is 2747.9 miles, and from Pittsburg to Chicago, 507.1 miles. How far is it from Chicago to San Francisco ? When possible, express the numbers in the following deci. mally: 11. A girl sent 27 pieces to a laundry that charged her seventy-five cents a dozen for washing and ironing them. What was her bill? 12. Mrs. Rorer mixed 15.5 lb. of fat with 2.25 lb. of potash and made soap which she cut into pieces weighing one eighth of a pound each. How many pieces of soap had she ? 13. The weight of a diamond before it was cut was 3.875 carats. After it was cut, its weight was 2.50 carats. How much was lost in the cutting ? 14. Each of two pillows weighs 4.75 pounds and a bolster weighs 7} pounds. Find the weight of all. 15. At $27 a ton, how many tons of ice can be bought for $3,75 ? 16. If I bought 2 gallons of gasoline and used .75 of it to clean a dress, how many quarts did I use? 17. A merchant bought 1200 gas fixtures at $.08] each and sold them at $.10. How much did he make on them? 18. A 24 story city building is 10.75 ft. to a story. How high is the building ? 19. Find the value of 17,745 bricks at $7.50 per M. 20. A merchant bought oil at $9.43 per barrel. He sold it at $11.48 a barrel, and gained $451. How many barrels did he have ? 21. Divide 5 pounds by .005 of a pound. 22. What is the cost of 350 heads of cabbage at $4.20 a hundred ? 23. How many pecks are there in 28.75 bushels ? 24. Multiply each of the following by 10: .6,.8,.84,.86,.76. 25. Multiply each of the following by 10: .06, .04, .005, .42, 47, 42.3, 56.7, 478, 8.6, 9.8. 26. Multiply each of the following by 100: .6, .8, -84, .95, .86, -76, .06, .04, .005, 4.23, 56.7, .478, 8.6, 9.8. 27. Multiply each of the following by 1000: .594, 5.94, 59.4, .007, .07, .7, 3.14, 2.5, .0025. 28. Express as hundredths: 1, 1, 4, 5, 6, 4, 5, 1o, io, io . 29. Divide 4 yards by .004 yards. 30. Compare 9 + 3 with 900 + 300. Find the cost of: 31. 24 lb. @ $.125 37. 64 bbl. @ $7.50 32. 27 yd. @ *.165 38. 16 ft. @ $18.75 33. 56 bu. @ $.375 39. 45 lb. @ $.052 34. .875 ft. @ $.48 40.66 gal. @ $.75 35. .375 yd. @ $.80 41. 2.5 bu. @ $.375 36. .125 T. @ $1 42. 1.25 doz. @ $125 43. What part of 5 is 125 ? 44. Add the difference between 19.875 and 16.4 to their sum. 45. A merchant withdrew .375 of his bank deposit to invest in property that cost him $6754.50. What was his original bank account? 46. What decimal of $4000 is $800 ? 47. We pay $.10 for a box containing 100 tags. How much is paid for 1 tag? 52. 48. In January we burned 36,250 feet of gas. At $.25 per thousand, what was the bill ? 49. What part of a dollar is $.005? what part is $.025 ? 50. A farmer paid $777.60 for 36 acres of land. How much did he pay per acre ? 51. Divide 12 hundredths by 8 thousandths. Mr. Wilson owns 146.875 acres of land. He has 43.8 acres in hay, 35.75 acres in wheat, 26.625 acres in oats, and the rest in pasture. How many acres has he in pasture ? 53. Harry picked 3.75 bushels of berries. He sold .5 of a bushel to one neighbor, and 1.25 bushels to another. How much remained ? 54. Find the number of pounds in 7 hams, the average weight of each being 8.75 pounds. 55. How much should a man receive who works 15.75 days at $4.40 per day? 56. At $.025 each, how many oranges can I get for $5.40 ? 57. Compare $30 and $3. What change in the place of the decimal point will give io of $30 ? 58. Add the columns; subtract as indicated ; add the remainders in each column : 21.096 – 18.7 13.469 - 6.50 4.18 3.275= 16.75 - 9.875 47.39 – 28.74 = 32.967 - 2.91 15.87 3.942= 6.81 – 0.0692 = 26.932 – 25.1 7.375 - 1.46 59. Add the six quotients : 250 125 1+.05 7.50 – 1.25 750 +1.25 .25 +.0025 0.75 + 750 |