? ? 6. Two times sixteen are how many? 7. Two times seventeen are how many? 8. Two times eighteen are how many? 9. Two times nineteen are how many ? 10. Two times twenty are how many? 11. Three times eleven are how many ↑ 12. Three times twelve are how many ? 13. Three times thirteen are how many? 14. Three times fourteen are how many ? 15. Three times fifteen are how many? 16. Three times sixteen are how many? 17. Three times seventeen are how many 18. Three times eighteen are how many? 19. Three times nineteen are how many? 20. Three times twenty are how many ? 21. Four times eleven are how many ? 22. Four times twelve are how many' 23. Four times thirteen are how many 24. Four times fourteen are how many 25. Four times fifteen are how many ? 26. Four times sixteen are how many ? 27. Four times seventeen are how many 28. Four times gighteen are how many? 29. Four times nineteen are how many 30. Four times twenty are how many ? 31. Five times eleven are how many ? 32. Five times twelve are how many 33. Five times thirteen are how many 34. Five times fourteen are how many 35. Five times fifteen are how many ? 36. Five times sixteen are how many 37 Five times seventeen are how many 38. Five times eighteen are how many 39. Five times nineteen are how many? 40. Five times twenty are how many? 41. Six times eleven are how many ? 42 Six times twelve are how many? ? ? ? ? ? ? ? ว 1 many ? many ? many ? many ? many ? many ? how many ? many ? many ? many ? 43. Six times thirteen are how many? 44. Six times fourteen are how many! 45. Six times fifteen are how many ? 46. Six times sixteen are how many ? 47. Six times seventeen are how many จุ 48. Six times eighteen are how many? 49. Six times nineteen are how many? 50. Six times twenty are how many ? 51. Seven times eleven are how 52. Seven times twelve are how 53. Seven times thirteen are how 54. Seven times fourteen are how 55. Seven times fifteen are how 56. Seven times sixteen are how 57. Seven times seventeen are 58. Seven times eighteen are how 59. Seven times nineteen are how 60. Seven times twenty are how 61. Eight times eleven are how 62. Eight times twelve are how many? 63. Eight times thirteen are how many 64. Eight times fourteen are how many? 65. Eight times fifteen are how 66. Eight times sixteen are how many? 67. Eight times seventeen are how many? 68. Eight times eighteen are how many? 69. Eight times nineteen are how 70. Eight times twenty are how 71. Nine times eleven are how 72. Nine times twelve are how 73. Nine times thirteen are how many? 74 Nine times fourteen are how many? 75. Nine times fifteen are how many 76. Nine times sixteen are how many? 77. Nine times seventeen are how many? 78. Nine times eighteen are how many? 79. Ning times nineteen are how many? many many ? ? many ? many ? many ? ? 80. Nine times twenty are how ? ? SECTION VIII. A 1. IF you cut an apple into two equal parts, what is one of those parts called ?* 2. How many halves of an apple will make the whole apple? 3. If you cut an apple into 3 equal parts, what is 1 of those parts called? what are 2 of the parts called? 4. How many thirds of an apple will make the whole apple? 5. If you cut an apple into 4 equal parts, what is 1 of those parts called? what are 2 of those parts called? what are 3 of them called? 6. How many fourths of an apple make the whole apple? 7. If an apple be cut into 5 equal parts, what is one of the parts called? what are 2 of the parts called? what are 3 of the parts called? what are 4 of the parts called? See Section III, article B, remark before question 1 and 17. 8. How many fifths of an apple make the whole apple ? 9. If an apple be cut into 6 equal parts, what is 1 of the parts called? what are 2 of the parts called? what 3? what 4? what 5? 10. How many sixths of an apple make the whole apple? 11. If an apple be cut into 7 equal parts, what is 1 of the parts called? what are 2 of the parts caled? what 3? what 4? what 5? what 6? Let the instructer ask the pupils the divisions of a unit in this manner as far as the division into 10 parts. It would be well to ask them further. Then let him begin again, and suppose an orange instead of an apple. After applying the division to several different things, a line may be drawn on the blackboard and divided. It is well often to require the pupil to make the requisite division of a line on the board. 12. A man had a bushel of corn, and wished to give 1 half of a bushel apiece to some labourers; how many could he give it to? 13. How many halves are there in 1 ? 14. A man divided 2 barrels of flour among his labourers, giving them 1 half of a barrel apiece; how many men did he give it to? 15. How many halves are there in 2?* 16. In 3 bushels of corn how many half bushels? 17. How many halves are there in 3? 18. A boy divided 4 oranges among his compan ions, giving them 1 half of an orange apiece; how many boys did he give them to? 19 How many halves are there in 4 ? * See the Key. 20. A man having some labourers gave them 1 half a do.lar apiece; it took 3 dollars and 1 half a dollar to pay them how many labourers were there? in 21. How many halves are there in 3 and 1 half? 22. How many halves are there in 5? 23. How many halves are there in 7 and 1 half! 24. How can you tell how many halves there are any number? Answer. Since there are 2 halves in one, there will be twice as many halves as there are whole ones. 25. If you had 1 orange, and should divide it among your companions giving them 1 third apiece, how many could you give it to ? 26. How many thirds are there in 1 ? 27. If you cut 2 oranges each into 3 pieces, how many pieces would they make ? 28. If you cut 3 oranges into 3 pieces each, how many pieces would they make ? 29. If you cut 4 apples each into 3 pieces, how many pieces would they make ? 30. How many thirds are there in 2? in 3? in 4? in 5? 31. How can you tell how many thirds there are in any number? Answer. Since there are 3 thirds in one, there will be 3 times as many thirds as there are whole ones. 32. If you had 2 bushels and 1 third of a bushel of corn to give to some poor persons, how many could you give it to if you should give them 1 third of a bushel apiece ? 33. How many thirds are there in 2 and 1 third? 34. If a horse can eat 1 third of a bushel of oats in 1 day, how many days would it take him to eat 3 bushes and 2 thirds of a bushel? 35. How many thirds are there in 3 and 2 thirds? |