19. 173 - 824 + 21 = ? 22. 75+ 1813 – 94 = ? 20. 294 – 7} – 16% = ? 23. 4816 – 123 + 1648 = ? 21. 20 – 87% + 12 = ? 24. 63 +94 – 1,4 = ? 25. A man raised 725 bu. of corn in one field, 653 bu. in another, and 14911 bu. in another. How many did he raise in the three fields together? 26. A miller bought 7878 bu. of wheat from A, and 86 12 bu. from B. How many bushels did he buy from both ? 27. A boy rode on his bicycle 653 miles on Monday, 727 miles on Tuesday, and 683 miles on Wednesday. How many miles must he ride on Thursday to make 250 miles for the four days ? 28. A merchant deposited in bank on Monday $ 963, on Tuesday $814, on Wednesday $6510, on Thursday $984 What was the amount of his deposits for the four days ? 29. James Price owns a piece of land 463 rods long, and 38j rods wide. How many rods of fence will be needed to inclose it? 30. William earned $123, which was $16 less than John earned. How much money did they both earn together ? REVIEW WORK LESSON 47 1. What is the G.C.D. of 30 and 36 ? 2. What is a multiple of a number? Of two or more numbers ? 3. What is the L. C. M. of two or more numbers ? 4. How many feet are 3} ft., 24 ft., and 71 ft. ? 5. equals how many 18ths? = how many 40ths ? 6. Name the prime factors of 35, 32, 49, 63, 66. 7. Name all the prime numbers to 100. 8. Name all the divisors of 48, 27, 34. 9. What is 1% of 100? 200 ? 300 ? $ 425 ? 362 gal. ? 10. I bought a knife for 50$, and sold it at a gain of 50%. How much did I receive for it? 11. Find 6% of $500; 8% of $ 5000; }% of $ 600. 12. What is 25% of 50? 48? 442 24? 4? 12? 11? 1? 1? 13. What are prime factors ? Composite numbers ? 14. Change to 4 equivalent fractions. 15. Change 1 to hundredths. to %. iy to %. i to %. to %. 16. By what number must you multiply both terms of the fraction to change it to j} ? Compare å with at. 17.' Name three fractions that can be changed to exact 100ths. Complete the following: 18. 4=30: =21: ģ=36• {=56• {=63. i=88. . 19. What part of a quantity is 163% of it? What is 16%% of 60 miles ? 20. Compare 121 % of 32 with 25% of 16. 21. What % of a quantity is į of it? ã of it? 1 of it? 22. If a man spent 663% of his money, what % of his money remained ? LESSON 48 1. Find the L. C. M. of 3, 6, 9, 12, and 18. 2. 65 + 14 + 101 = ? 1001 - 8033= ? 14- 73 – 3} = ? 32 49 3 5 40 7 5 Write in figures : 3. Eighty thousand sixty-four, seventy-two thousand and seventy-two thousandths, nine thousand fourteen and 63 thousandths. 4. Change to improper fractions: 711, 918, 8914, 641 5. Change to whole or mixed numbers : i4, 126, 1431 6. Write all the composite numbers from 4 to 100. ? 16 x 47 x 21 13 x 17 x 39 13 x 11 x 19 11. Mary had 136 plums, and gave 25% of them to her brother. How many plums had she remaining ? 12. Write all the divisors of 40, 54, 72, 110, 112. 13. What is 81% of $36.72? 840 mi. ? 840 mi. ? 3648 T. ? 14. Change to 9ths: 3, 53, 73, 18, 38, 34, 163, 14;. Express as decimals and as per cents. 15. 1o=.1=10% 20.1=.3=30% 25. 17=1.2=120% 16.6 21. 7 10 26. 18 17. 18.10 28. 18 24. 10 =1.00=100% 29. 10. 22. 5 10 27. 16 10 23. 6 10 19. % 20 MULTIPLICATION LESSON 49 1. 4 apples + 4 apples = how many apples ? 2 times 4 apples = how many apples ? 2. $ + $ + $ = how many 7ths ? 3 times § = how many 7ths? 4 x š is read 4 times š; š x 4 is read s multiplied by 4. 3. ģ 4= ? § x 3 = ? iii x 5 = ? iz x 6 = ? x 5 = ? 4. How much will 4 yards of cloth cost at $7 a yard? If 1 yard is worth $ 3, 4 yards are worth 4 times as much, 4 x $] = $* = $34 = $3. If we had divided the denominator by 4 instead of multiplying the numerator, we should have obtained $, or $31, the same as before. Thus, $3 x 4 = $14 = 1 = $34. Therefore a fraction may be multiplied by multiplying its numerator or by dividing its denominator. Find products by multiplying the numerators: 5. & x 3 8. i x 9 11. ã x 9 14. 1 x 7 6. x4 9. Š x 7 12. iz x 10 15. 1] x 6 7. jx8 10. x 9 13. & x 6 16. { x 11 Find products by dividing the denominators : 17. ^ x 2 20. x 3 23. 14 x 7 26. 17 x 9 18. x 3 21. 1. x 5 24. 1} x 5 27. li x 7 19. { x 4 22. 12 x 6 x 7 28. 13 x 12 Find products by multiplying the numerators : 29. 7 32. * 9 x 9 38. x 21 30. 1. x 9 33. 29 7 36. 31 x 6 39. }} x 16 31. x 13 34. 25 x 16 37. 41 x 3 40. 34 x 8 Find products by dividing the denominators : 44. 28 x 2 47. 1 x 13 50. 24 27 45. 43 x 25 x 8 46. 45 x 7 49. 150 x 50 52. 3] x 14 25. 9 35 35. 32 41. x 10 x 12 42. 28 9 60 38 72 23 24 48. 51. 46 100 X 25 43. LESSON 50 A factor common to the whole number and the denominator of the fraction should be canceled before the multiplication. For it is evident that canceling a factor common to both before the multiplication, is equivalent to dividing both terms of the resulting fraction after the multiplication. (Lesson 33.) MODEL. 13 x 7 13 13 x 7 91 13 14 2' 14 14' 14 2 Multiply : 1. 19 x 9 3. 3 x 40 5. 13 x 20 7. 1 x 40 2. 13 x 27 4. 4 x 22 6. 13 x 14 8. 5. x 85 9. Multiply 187 by 6. MODEL. 6 x š = 4 = 4; = 4ş, or 18% = 162. 6 x 18 = 108 2 169 x 6 338 1124 112; Ans. g 3 Multiply: 10. 33} by 6 13. 28ş by 36 16. 173 by 21 11. 12by 8 14. 62by 32 17. 263 by 96 12. 872 by 16 15. 753 by 25 18. 32; by 54 19. How many feet are 6 times ģ of a foot ? 20. How many yards are 4 times g of a yard? 21. How much will 2 pounds of tea cost at $7 a pound? 22. How many feet are 6 times of a yard? 23. At 123 ¢ a dozen, how much will 8 dozen eggs cost? 24. If 7 men can do a piece of work in 25 weeks, how long will it take 1 man to do it? 25. How many rods of fence can a man build in 6 days, if he builds 13 rods in a day? 3 |