3. Divide 5000 by 1000. (Change 5000. to 5.000.) Ans. 5. 4. Divide 843.75 by 10. (Move decimal point one place to the left, changing 843.75 to 84.375.) Ans. 84.375. 5. Divide 843.75 by 100. (Move point two places to left.) Ans. 8.4375. 6. Divide 843.75 by 1000. (Move point three places to the left.) 7. Divide 578.345 by 100. 8. Divide 67.895 by 1000. 9. Divide 678.5 by 1000. 10. Divide 6 by 1000. Ans. .84375. 11. Divide 1200 by 200. (Move point two places to the left, and divide by 2.) (Move point three 12. Divide 18000 by 3000. places to the left and divide by 3.) 13. Divide 8 by 2000. 14. Divide 1480 by 2000. 15. Divide 14.875 by 500. 16. Divide 6780 by 2000. 17. Divide 76.024 by 8000. 18. Divide 84.008 by 200. 19. Divide 164.04 by 2000. Finding the cost, when the price is given for hundreds, thousands, or tons, and the quantity expressed in units 65. 1. Find the cost of 465 pounds of sugar at $5.80 per C. 465 pounds = 4.65 C pounds. $5.80 × 4.65 = $ ―. Ans. 2. Find the cost of 8400 lb. of coal at $6 per 3. Find the cost of 8500 bricks at $9 per M. 8500 8.5 M. $9 x 8.5= $. Ans. 4. What will 875 pineapples cost at $13 per C? 875 8.75 C. = $ 13 x 8.75$. Ans. 5. Find the cost of 7500 lb. of hay at $18 per ton. 6. Find the cost of 675 lb. of coal at $6 per ton. 7. Find the cost of 7500 shingles at $5 per M. GENERAL REVIEW PROBLEMS 66. 1. If 365 bushels of corn grow on each acre, how many bushels will grow on 25 acres? 2. A man bought 28 tons of hay at $15 a ton and sold it at $18.50 a ton. How much did he gain? 3. How many bushels of onions at $.82 a bushel can be bought for $112.34? 4. If 46 tons of iron cost $ 3461.50, what will 8 tons of iron cost at the same rate? 5. Find the cost of 23475 board feet of pine lumber at $30 per M. 6. James runs 180 yards per minute and Frank pursues him at the rate of 200 yards per minute. How long will it take Frank to catch James if James has 2 minutes' start? 7. What number multiplied by 72084 will produce 5190048 ? 8. A man is 45 years old and has been married 19 years. How old was he when married? How 9. The distance from Paris to Berlin is 1308 kilometers. A kilometer is .6214 of a mile. many miles is it from Paris to Berlin? 10. If the average rate of a railway train is 36.7 miles per hour, how long will it take the train to run 1101 miles ? 11. Find the cost of 200 bushels of potatoes at $.625 a bushel. 12. A man bought a piano for $ 276 and agreed to pay for it in monthly payments of $17.25 each. How many months will it take him to pay for the piano? 13. A contractor purchased a million bricks. What did they cost him at $9 per M? 14. A grocer bought 250 pounds of coffee for $82.50 and sold it at $.38 a pound. How much did he gain? 15. If an acre of land cost $38.75, how many acres can be bought for $ 3560 ? 16. If .04 of the quantity of milk is cream, how many quarts of cream are there in 250 quarts of milk? 17. How much coal at $6 per ton can be bought for $75? 18. Find the cost of 12.5 tons of hay at $18.50 a ton. 19. How much is gained by selling molasses at 45 cents a gallon if 63 gallons cost $25? 20. I bought six loads of coal, each weighing 2345 pounds, at $5.50 a ton. What did the coal cost? 21. The difference between two numbers is 79486 and the larger number is 98979. Find the smaller number. 22. What is the total cost of 25 sheep if 17 of them cost $5.75 a head and the others $6.25 a head? 23. The product is 259740 and the multiplicand is 468. What is the multiplier? 24. Find the difference between .00783 and .0231. SUMMARY Summary of the Analysis of Number and the Fundamental Operations with Integers and Decimals 67. 1. Units are the standards by which we count or measure. 2. Numbers show how many units are expressed. 3. Notation is the process of writing numbers. 4. The Arabic notation uses figures to express numbers. 5. The Roman notation uses letters to express numbers. 6. Numeration is the method of reading numbers. 7. The Arabic system of notation is based upon units' place. The value of each figure in a number is dependent upon its location in the number. The value of figures in a number increases toward the left, and decreases toward the right of units' place by the scale of ten for each step. 8. In reading large numbers we group them into periods of three figures each, beginning at units' place. Commas are used to mark the separation of a number into periods for convenience in reading it. E |