Cancellation 66. Cancellation is the process of crossing out a number and writing the result obtained by multiplying or dividing the number. Important Principles 67. Multiplying one number and dividing another by the same number does not change their product. Thus, 6 x 1060, and (6 × 2) × (10÷2), or 12 x 5 = 60. 68. Multiplying both dividend and divisor by the same number does not change the quotient. Thus, 12 ÷ 3 = 4, and (5 × 12) ÷ (5 × 3), or 60 ÷ 15 = 4. 69. Dividing both dividend and divisor by the same number does not alter the quotient. Thus, 18÷6=3, and (18 ÷ 3) ÷ (6÷ 3), or 6 ÷ 2 = 3. times 45, divided by 9 times 16 times 5. read 24 times 36 24 and 16 have each been divided by what number? How has the 9 in the dividend been obtained? By what has the 9 in the dividend been divided? How has the 18 in the dividend been obtained? What factors remain uncancelled? 5. A laborer who saves $20 a month must save for how many years to have sufficient to pay for 40 acres of land at $60 an acre? = Explanation: 12 x $20 the amount the laborer saves each year. 13. How many groups of children of 16 each can be formed from 24 groups of 18 each ? 14. How many pounds of sugar at 6 a pound should be given for 20 doz. eggs at 30¢ a dozen? 15. Find the quotient of 48 × 27 divided by 12 × 9. 16. How many strips of paper 8 ft. long can be cut from 9 rolls each 48 feet long? 17. How many 2-bushel bags can be filled from 4 bins of grain, each containing 180 bu.? 18. 48 five-hundred-pound bales of cotton weigh how many tons (2000 lb.)? 19. How many years must a farmer save at the rate of $25 a month to have sufficient to pay for 36 acres of land at $75 an acre? 20. The yield of corn from a 20-acre field is estimated at 50 bu. per acre. A bushel of corn weighs 56 lb.; how many tons of 2000 lb. are there in the yield? 21. 6 loads of flour, each containing 25 barrels and each barrel weighing 196 pounds, will make how many 50pound sacks of flour? 22. Divide the product of 15, 21, and 35, by the product of 9, 25, and 49, times 45, divided by 9 times 16 times 5. read 24 times 36 24 and 16 have each been divided by what number? How has the 9 in the dividend been obtained? By what has the 9 in the dividend been divided? How has the 18 in the dividend been obtained? What factors remain uncancelled? 5. A laborer who saves $20 a month must save for how many years to have sufficient to pay for 40 acres of land at $60 an acre? Explanation: 12 x $20 the amount the laborer saves each year. = 13. How many groups of children of 16 each can be formed from 24 groups of 18 each? 14. How many pounds of sugar at 6 a pound should be given for 20 doz. eggs at 30 ₫ a dozen? 15. Find the quotient of 48 x 27 divided by 12 × 9. 16. How many strips of paper 8 ft. long can be cut from 9 rolls each 48 feet long? 17. How many 2-bushel bags can be filled from 4 bins of grain, each containing 180 bu.? 18. 48 five-hundred-pound bales of cotton weigh how many tons (2000 lb.)? 19. How many years must a farmer save at the rate of $25 a month to have sufficient to pay for 36 acres of land at $75 an acre? 20. The yield of corn from a 20-acre field is estimated at 50 bu. per acre. A bushel of corn weighs 56 lb.; how many tons of 2000 lb. are there in the yield? 21. 6 loads of flour, each containing 25 barrels and each barrel weighing 196 pounds, will make how many 50pound sacks of flour? 22. Divide the product of 15, 21, and 35, by the product of 9, 25, and 49. |