2. Divide 10 pins between 5 boys, and tell me how many each will have? How many times 5 in 10? Why? 3. If you wish to divide 8 oranges between your 2 little sisters, how many would each have? How many times 2 in 8? Why? 4. A man divides 14 peaches between 7 of his children; how many will they have apiece? How many times 7 in 14? Why? 5. 14 cents were given to 2 poor boys? how many cents is that for each boy? How many times 2 in 14? Why? 6. If 1 orange cost 6 cents, how many oranges will 18 cents Duy? How many times 6 in 18? Why? 7. If it cost 6 cents to go in and see the wax figures, how many times can you go in for 30 cents? How many times 6 in 30? Why? 8. 8 boys found 48 cents, which they agreed to divide equally between them; how many will each have? How many times in 48? Why? 9. I sold 8 lead pencils for 80 cents? how much is that apiece? How many times 8 in 80? Why? 10. 10 men found a pocket-book containing 100 dollars; how many dollars will each have, if the money be equally divided between them? How many times 10 in 100? Why? 11. There are 4 weeks in a month; how much will a man. have a week, that has 48 dollars a month? How many times 4 in 48? Why? 12. 12 men by contract are to have 96 dollars for performing a piece of work; how many dollars is each man's part? How many times 12 in 96? Why? 13. There are 4 quarts in a gallon; what is a quart of mʊlasses worth, when a gallon is worth 32 cents? How many times 4 in 32? Why? 14. An older brother distributed 60 picture-books between his 6 younger brothers; how many did each have? How many times 6 in 60? Why? 15. 108 cents are to be equally divided between 9 children? how many will that be apiece? How many times 9 in 108? Why? 16. 132 bushels of corn are to be divided equally between 12 poor men; how many will each man have? How many times 12 in 132? Why? 17. 12 men engage to do a piece of work what will be each man's part of the money? 12 in 144? Why? 18. Repeat the Division Table. for 144 dollars; How many times 3 in 18 6 times 5 in 30 54- 6 3 in 21 7 times 5 in 35 .719 in 63-- 7 3 in 24 8 times 5 in 40 89 in 72-8 99m 3 times 7 in 21 - 6 times 7 in 42-69 in 7 times 7 in 49 8 times 7 in 563 in 27 9 times 5 in 45-9 times 7 in 63 3 in 30-10 times 5 in 50-10 times 7 in 70-10 9 in Practical Questions on the Table. 19. If 12 yards of tape cost 24 cents, what will 1 yard cost? 20. If you give 2 cents for an apple, how many can you buy for 4 cents? How many for 6 cents? For 10 cents? For 14 cents? For 18 cents? For 20 cents? 21. If I lead pencil cost 3 cents, how many can you buy for 6 cents? For 9 cents? For 18 cents? For 21 cents? For 24 cents? For 30 cents? For 36 cents? 22. If 4 cents will buy 1 orange, how many oranges will 8 cents buy? How many 16 cents? How many 24 cents? How many 32 cents? How many 40 cents? How many 48 cents? 23. If the stage fare be 5 cents a mile, how far may you be carried for 10 cents? For 15? For 20? For 25? For 30? For 35? For 40? For 50? For 60? 24. If 6 cents will buy 1 pine-apple, how many will 12 cents buy? Will 24? Will 36? Will 42? Will 48? Will 60 ? 25. If a small slate cost 7 cents, how inany slates will 14 cents buy? Will 28? Will 35? Will 56? Will 63? 26. If a writing-book cost. 8 cents, how many writing-books will 16 cents buy? 24 cents? 40 cents? 56 cents? 80 cents? 96 cents? 27. How many spelling-books will 18 cents buy, if 1 cost 9 cents? Will 27? Will 36? Will 45? Will 54? Will 72? 28. How many fish can you buy for 20 cents, if 1 cost 10 cents? How many for 40 cents? For 60 cents? For 100 cents? For 110 cents? For 120 cents? 29. If you pay 11 cents for an inkstand, how many can you buy for 22 cents? For 33 cents? For 55 cents? For 88 cents? For 110 cents? For 132 cents? 30. How many pounds of butter can you buy for 24 cents, when the price is 12 cents for 1 pound? How many pounds for 36 cents? For 60 cents? For 108 cents? For 132 cents? For 144 cents? Practical Questions on the foregoing. 1. A boy, having 18 apples, gave them to his companions, as follows; to William 4, to Rufus 6, and to Thomas 5; how many did he give away in all, and how many had he left? 2. Thomas gave to one of his companions 6 peaches, to another 3, to another 2, and sold 3; how many had he at first? 3. A man bought a wagon for 17 dollars, and gave 5 dollars to have it repaired, then sold it for 26 dollars; how much did he make by the bargain? 4. A man bought a horse for 25 dollars, and, to pay for it, gave 6 bushels of rye, worth 6 dollars, and the rest in money; how much money did he pay? 5. Rufus, having 20 cents, bought a book for 12 cents, and a knife for 6 cents? how much more did the book cost than the knife? and how many cents had he left? 6. What is the cost of 5 yards of cloth, at 4 dollars a yard At 3 dollars? At 7 dollars? At 2 dollars? At 8 dollars? At 9 dollars? At 12 dollars? If 1 lemon be worth 3 apples, how many lemons are 6 apples worth? Are 12 apples worth? Are 18 apples worth? Are 24 apples worth? Are 36 apples worth? 8. How many barrels of flour, at 8 dollars a barrel, can you buy for 16 dollars? For 48 dollars? For 96 dollars? For 80 dollars? Are 10, 8, and 2? and 6? Are 8, 3, Are 5, 4, 3, and Are 8, 9, and 10 ? 9. How many are 2, 3, and 5? Are 4, 2, and 2? Are 9, 3, and 4? 2? Are 4, 3, 2, and 1? Are 12, 11, 10, and 9? 10. How many are 6 times 3? 6 times 4? times 8? 9 times 7? 12 times 7? 9 times 5? 8 times 7? 7 times 6? 7 times 9? 12 times 11? 8 times 5? 3 times 7? 12 times 12? 6 times 7? 7 11. How many times 2 in 12? 2 in 18? 2 in 24? 3 in 6? 3 in 12? 3 in 36? 4 in 20? 4 in 32? 4 in 48? 5 in 25? 5 in 35? 5 in 60? 6 in 36? 6 in 48? 6 in 72? 7 in 14? 7in 56 7 in 84? 8 in 40? 8 in 96? 9 in 36? 9 in 108? 11 in 22? 11 in 55? 11 in 132? 12 in 144 ? Note. Younger pupils should be required to review, and dwell on the pre ceding questions for illustration, and the tables, till their solutions be made Derfectly familiar. TV. NUMERATION. Q. When I say to you, Give me that book, do I mean one book or more than one? Q. When we speak of a single thing, then, what is it called? A. A unit, or one. Q. What are one unit and one more, or one and one, called? Q. What are two units and one more, or two and one, called? Q. What are three units and one more, or three and one, called? Q. What are four units and one more, or four and one, called Q. What are five units and one more, or five and one, called? Q. What are six units and one more, or six and one, called? Q. What are seven units and one more, or seven and one, called? Q. What are eight units and one more, or eight and one, called? Q. What are nine units and one more, or nine and one, called? Q. Now, to be obliged always to write these numbers out in words, would be very troublesome; to prevent this, how do we sometimes express the numbers one, two, &c. up to thousands, millions, &c. A. By letters. Q What does the letter I stand for? A. One. What does the letter C stand for? A. One hundred. Q. What does the letter D stand for? A. Five hundred. Q. What does the letter M stand for? A. One thousand. Q. You said that V stands for five; suppose you place the letter I before the V, thus, IV, what will both these letters stand for then? A. Only four. Q. What, then, may be considered as a rule for determining the value of these letters? A. A letter standing for a smaller number, and before a larger, takes out its value from the larger Q. One X stands for ten; what do two XX's stand for? A. Twenty. Q. What, then, is the value of a letter repeated? A. It repeats the value as often as it is used. Q. How many letters do we use for expressing_numbers ? A. Seven. Name them. A. I, V, X, L, C, D, M. Q. What is this method expressing numbers by letters called? A The Roman method. Q. Why called Roman. A. Because the Romans invented and used it. Repeat the One, 'Two,. Three, Four,. Five, Six, Seven, Ten, Twelve, Fourteen, Fifteen, Sixteen,.. Seventeen, Eighteen,.. Nineteen, Twenty, Eighteen hundred and twenty-eight,. MDCCCXXVIII. ...... |