LESSON XIII.

1. What is Multiplication?

Ans. Multiplication is finding the amount of a number taken or added to itself, a given number of times.

2. What is the number to be multiplied called? Ans. The Multiplicand.

3. What the number by which you multiply? Ans. The Multiplier.

4. What is the number obtained by mult. called? Ans. The Product.

5. When it is said that 5 times 9 are 45, which is the multiplicand? The multiplier? The product? 6. When it is said that 6 times 7 are 42, what is the 6 called? The 7? The 42?

7. What is the product of 7 multiplied by 5 ? 8. What is the product of 8 multiplied by 4? 9. If 6 is multiplied by 8, what is the product? 10. If 9 is multiplied by 7, what is the product? II. What will 3 quarts of cherries cost, at 9 cents a quart?

ANALYSIS.-Three quarts will cost 3 times as much as I quart; and 3 times 9 cents are 27 cents. Therefore, 3 quarts will cost 27 cents.

12. A teacher has 4 classes, each class containing 8 pupils: how many pupils has he?

13. How many times 2 are 12? How many times 3? How many times 4? 14. How many times 9 6? How many times 2?

How many times 6? are 18? How many times How many times 3?

15. How many times 4 are 24? How many times 3? How many times 6? How many times 2? How many times 8? How many times 12?

16. Louise bought 6 yards of braid, at 7 cents a yard: how much did she pay for it?

17. If 5 boys can sit on I bench, how many can sit on 6 benches?

18. How many times 4 are 28? How many

times 7? 19. Which is the greater, 3 times 8, or 6 times 4? 20. Which is the greater, 9 times 3, or 4 times 7? 21. At 6 shillings a pair, what cost 5 pair of skates?

22. Walking 4 miles an hour, how far will a man walk in 8 hours?

23. How many times 5 are 20?

50? 45? 60?

30? 25? 35 ?

24. How many times 6 are 30? How many times IO? How many times 5? How many times 3?

25. Which is the greater, 3 times 11, or 4 times 8? 26. Which is the greater, 9 times 4, or 6 times 6 ? 27. In a garden there are 5 rows of peach trees, with 7 trees in a row: how many peach trees does the garden contain?

28. At 10 cents a quart, what cost 6 quarts of chestnuts?

29. How many times 7 make 35? How many times 5?

30. How many times 5 make 40? How many times 4? How many times 8? How many times 10? 31. In 1 bouquet there are 8 flowers: how many flowers are there in 4 bouquets?

32. What will 1o chickens cost, at 3 shillings each ?

33. What will be a man's expenses for 7 days, if he spends 5 dollars a day?

34. How many times 6 are 24? 42? 36? 48? 54? 60? 72?

35. How many times 8 make 48? How many times 4? How many times 6? How many times 12?

36. In 1 week there are 7 days: how many days in 4 weeks?

37. In 1 dime there are 10 cents: how many cents in 6 dimes?

38. At 4 dollars a pair, what will be the cost of 6 pair of boots?

39. How many times 7 are 42? 35? 28? 56 49? 63? 77? 70? 84?

40. Which is the greater, 9 times 5, or 6 times 8? 41. What will 7 bibles cost, at 3 dollars apiece? 42. Which will cost the more, 6 oranges at 4 cents, or 9 lemons at 3 cents apiece?

43. How many times 8 are 32? 24? 40? 56? 48? 64? 88? 72? 96?

44. How many times 9 make 54? times 6?

How many

45. Which will cost the more, 4 slates at 9 cents, or 6 inkstands at 6 cents apiece?

46. If I woman can make 4 vests in a week, how many vests can 7 women make?

47. If Helen writes 8 lines a day, how many lines will she write in 5 days?

48. How many times 6 make 72? How many times 8? How many times 12? How many times 9 ?

49. John paid 12 cents apiece for 3 melons, and Henry 4 cents apiece for 10 cigars: which spent the more money?

50. How many times 9 are 36? 27? 45? 63? 54? 81? 72? 99? 108 ?

51. How much will 7 pair of chickens weigh, at 6 pounds a pair?

52. George's father gave him and his 7 brothers 5 dollars each: how much did he give them all?

53. Ida bought 3 spools of cotton, at 8 cents a spool, and 5 yards of tape, at 2 cents a yard: how much did she pay for both?

54. Harriet bought 6 yards of narrow ribbon, at 7 cents a yard, and handed the clerk a fifty-cent piece: how much change ought she to receive?

55. How many pounds of butter can be packed in 6 jars, each jar holding 12 pounds?

56. What is the cost of 5 dozen eggs, at 12 cents a dozen, and 4 quarts of molasses, at 10 cents a quart?

57. A housekeeper bought 10 quarts of cranberries, at 9 cents a quart: what did they come to?

58. In 1 gallon there are 4 quarts: how many quarts are there in 11 gallons?

59. In 1 peck there are 8 quarts: how many quarts are there in 3 pecks of chestnuts?

60. A man bought 9 tons of coal, at 7 dollars a ton, and paid 60 dollars: how much did he owe for it?

DIVISION.

LESSON I.

TO TEACHERS.-The object of this Lesson is to develop the idea of "times," as used in Division.

1. Here are 2 counters. (The Teacher holding up 2 visible objects, as books, pencils, etc.) If I pass one of them to you, how many will be left? "One."

2. If I pass another, how many will be left? "None." 3. How many times have I passed one counter?

Ans. Two times.

4. How many times is one counter contained in two counters?

5. Here are 3 oranges in a fruit-dish; if I take out one, how many are left? "Two."

6. If I take 1 more, how many are left?

"One."

7. If I take I more, how many are left?

"None."

8. How many times have I taken out 1 orange?

Ans. Three times.

9. How many ones are there in 3? "3 ones."

10. Here are 4 marbles; if I give 1 marble to the first boy, I to the second, I to the third, and 1 to the fourth, how many will be left? "None."

11. How many times have I given one marble?

Ans. Four times.

12. Here are 5 pencils; if I give 1 to each, how many pupils can I supply?

Ans. You can supply as many pupils as you have pencils, which is 5.