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, 911, 8912, 647. 5. Change to whole or mixed numbers: 25, 4, 126, 1451. 63 6. Write all the composite numbers from 4 to 100. 8. Write three fractions that you can reduce to 6ths. 9. Change to lowest terms: 32 49 35 40 75 8, 105, 160, 225. 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. 30 36 25.12-1.2=120% 26. 15 27.18 28. 18 24.18 1.00 100% 29.28 = MULTIPLICATION LESSON 49 1. 4 apples 4 apples how many apples? 4 apples how many apples? = 2 times 4. How much will 4 yards of cloth cost at $ a yard? If 1 yard is worth $7, 4 yards are worth 4 times as much, 4 × $ } = $ 22 = $31 = $31. If we had divided the denominator by 4 instead of multiplying the numerator, we should have obtained $2, or $31, the same as before. Thus, 87 × 4 = 874=$} = $31. 8÷4 Therefore a fraction may be multiplied by multiplying its numerator or by dividing its denominator. Find products by multiplying the numerators: 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.) 19. How many of a yard? 20. How many yards are 4 times 21. How much will 2 pounds of tea cost at $ a pound? 22. How many feet are 6 times of a yard? 23. At 121 a dozen, how much will 8 dozen eggs cost? 24. If 7 men can do a piece of work in 2 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? LESSON 51 1. If a family use 55 barrels of flour in a year, how many barrels will 8 families use in the same time? 2. There are 243 cubic feet in a perch of stone. many cubic feet are there in 8 perches? How 3. If a load of hay weighs & of a ton, find the weight of 18 loads of the same weight. 4. A coal train moves at the rate of 213 miles in an hour. How far will it go in 8 hours? 12. If a bushel of wheat makes 48 lb. of flour, how many pounds of flour will 125 bu. make? 13. If 2 men can plow 5 acres of ground in a day, how many acres can they plow in 11g days? 14. A boy rode 90 miles on his bicycle one day. At the same rate, how far would he ride in of a day? 15. Find the cost of 97 yd. of cloth at $2.70 a yard. 16. A man picked 90 bu. of apples in 3 days. At the same rate, how many bushels would he pick in 1 of a day? 17. Find the L. C. M. of 5, 7, 10, 14, 21. 18. Find the G. C. D. of 36, 63, 108. |