80. Nine times twenty are how many 91. Ten times eleven are how many ? 82. Ten times twelve are how many ? 83. Ten times thirteen are how many ? 84. Ten times fourteen are how many ? 85. Ten times fifteen are how many ? 86. Ten times sixteen are how many ? 87. Ten times seventeen are how many ? 88. Ten times eighteen are how many ? 89. Ten times nineteen are how many ? 90. Ten times twenty are how many ? SECTION VIII. A 1. If you cut an apple into two equal parts, whar 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 ouestion 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 I 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 called? 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 liis labourers, giving them i 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 ? * Soo 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 ? 21. How many halves are there in 3 and I 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 in 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 I 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 thirus 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 bushe s and 2 thirds of a bushel ? 35. Hɔw many thirds are there in 3 and 2 thirds ? 36. If I horse can eat I third of a bushel of oats in a day, how many horses will it take to eat 5 bushels and 2 thirds of a bushel in the same time ? 37. In 5 and 2 thirds how many thirds ? 39. If 1 horse will eat I fourth of a ton of hay in I month, how many horses will eat a ton in the same time? How many will eat 2 tons ? How many will eat 3 tons ? 4 tons ? 5 tons ? 6 cons ? 40. How many fourths are there in 1 ? in 2 ? in 3? in 4 ? in 5 ? in 6 ? 41. How can you tell how many fourths there are in any number ? 42. How many fourths are there in 4 and 1 fourth! 43. In 5 tons of hay and 3 fourths of a ton how many fourths of a ton ? 44. In 5 and 3 fourths how many fourths ? 45. In 7 and 1 fourth how many fourths ? 46. In 9 and 3 fourths how many fourths ? 47. If a horse eat 1 fifth of a ton of hay in a month, how many horses will eat a ton in the same time ? 2 tons ? 3 tons ? 4 tons ? 5 tons ? 48. How many fifths are there in 1 ? in 2? in 3 ? in 4 ? in 5 ? in 7 ? in 9 ? 49. How can you tell how many fifths there are in any number? 50. In 2 and 1 fifth how many fifths ? 51. In 3 dollars and 2 fifths of a dollar how many fifths of a dollar ? 52. In 3 and 2 fifths how many fifths ? 55. How many sixths are there in 1 ? in 2! in 3? in 4 ? in 5 ? in 7 ? in 8 ? 56. In 2 and 2 sixths how many sixths ? . 59. How many sevenths are there in 1? in 2? in 3? in 4? in 6? in 9 ? in 10? 60 In 3 and 1 seventh how many sevenths ? 61. In 5 and 3 sevenéhs how many sevenths ? 62 In 7 and 5 seven hs how many sevenths ? 63. How many eighths are there in 1 ? in 3? in 5? in 8 64. In 2 and 3 eighths how many eighths ? 05. In 3 and 5 eighths how many eighths ? tih, 1, 5 and 7 eighths how many eighths ? t". How many ninths are there in 1? in 2? in ? in 5 ? 68. In 2 and 2 ninths how many ninths ? 69. In 4 and 3 ninths how many ninths ? 70. In 6 and 4 ninths how many ninths ? 71. In 8 and 7 ninths how many ninths ? 72. How many tenths in 1 ? in 2.? in 5 ? in 8? 73. In 3 and 3 tenths how many tenths ? 74. In 4 and 7 tenths how many tenths ? 75. In 8 and 9 tenths how many tenths ? 76. In 7 and 4 tenths how 77. In 9 and 8 tenths how many tenths ? 78. In 7 and 4 sevenths how many sevenths ? 79. In 9 and 2 thirds how many thirds ? 80. In 10 and 3 fourths how many fourths ? 81. In 8 and 4 fifths how many fifths ? 82. In seven and 5 ninths how many ninths ? B. 1. If you give 4 men 1 half of a barrel of flour apiece, how many barrels will it take? 2. In 4 halves how many times 1 ? 3. If you give 3 boys 1 half of an orange apiece how many oranges will it take? 4 In 3 halves how many times 1 ? 5. If you give five men 1 half of a dollar apiece, how many dllars will it take? 6 In 5 halves how many times 17 many tenths ? |