SECTION X.

1. How many are 9 less 2? 9 less 7? 19 less 2 ? 19. less 7? 29 less 2? 29 less 7? 39 less 2? 39 less 7? 49 less 2? 49 less 7? 59 less 2? 59 less 7? 69 less 2? 69 less 7? 79 less 2? 79 less 7? 89 less 2? 89 less 7? 99 less 2? 99 less 7? 109 less 2? 109 less 7? 2. How many are 9 less 3? 9 less 6? 19 less 3? 19 less 6? 29 less 3? 29 less 6? 39 less 3? 39 less 6? 49 less 3? 49 less 6? 59 less 3? 59 less 6? 69 less 3? 69 less 6? 79 less 3? 79 less 6? 89 less 3? 89 less 6? 99 less 3? 99 less 6? 109 less 3? 109 less 6?

3. How many are 9 less 4? 9 less 5? 19 less 4? 19 less 5? 29 less 4? 29 less 5? 39 less 4? 39 less 5? 49 less 4? 49 less 5? 59 less 4? 59 less 5? 69 less 4? 69 less 5 ? 79 less 4? 79 less 5? 89 less 4 ? 89 less 5? 99 less 4? 99 less 5? 109 less 4? 109 less 5?

4. How many are 8 less 5? 8 less 3? 18 less 52 18 less 3? 28 less 5? 28 less 3? 38 less 5? 38 less 3? 48 less 5? 48 less 3? 58 less 5? 58 less 3? 68 less 5? 68 less 3? 78 less 5? 78 less 3? 88 less 5? 88 less 3? 98 less 5? 98 less 3? 108 less 5? 108 less 3?

5. How many are 7 less 4? 7 less 3? 17 less 4? 17 less 3? 27 less 4? 27 less 3? 37 less 4? 37 less 3? 47 less 4? 47 less 3? 57 less 4? 57 less 3? 67 less 4? 67 less 3? 77 less 4? 77 less 3? 87 less 4? 87 less 3? 97 less 4? 97 less 3? 107 less 4? 107 less 3?

6. How many are 8 less 7? 18 less 7? 58 less 7? 68 less 7? 88 less 7? 98 less 7? 108 less 7? 8 less 6? 8 less 2? 18 less 6? 18 less 2? 28 less 6? 48 less 6? 68 less 6? 78 less 6? 98 less 6? 108 less 6? 28 less 2? 68 less 2? 78 less 2? 88 less 2? 108 less 2?

7. How many are 7 less 5? 17 less 5? 27 less 5 ? 37 less 5? 47 less 5? 57 less 5? 67 less 5? 77 less 5? 87 less 5? 97 less 5? 7 less 6? 17 less 6? 27 less 6? 37 less 6? 47 less 6? 57 less 6? 67 less 6 ? 77 less 6? 87 less 6? 97 less 6? 107 less 6?

ADDITION COMBINED WITH SUBTRACTION.

SECTION XI.

1. A MAN has 7 horses in his stable and 2 in the pasture; how many has he in both places? how many more in the stable than in the pasture?

2. 67+ how many are 20?

3. A lady paid 20 dollars for a muff and 9 dollars for a tippet; what did she pay for both? what is the difference in their value?

4. 92+ how many are 20?

5. Charles spent 5 cents for marbles, 8 cents for a ball, and 12 cents for a top; how much did he pay for the toys? how much more for the marbles and top than for the ball?

6. 8 how many are 12 + 5?

7. Lucy had 12 cents; her father gave her 10 more, her mother 5, and she net a purse which she sold for 25 cents; how much money had she remaining, after purchasing a book for 37 cents?

8. 6+9+8+ how many are 30?

9. A grocer sells a firkin of butter for 13 dollars, a box of raisins for 2 dollars, a can of oil for 6 dollars, and a bag of coffee for 14 dollars; he receives in payment a fifty-dollar bill; how much does he return to the purchaser ?

10. Henry's pony cost 48 dollars, the saddle 15 dollars, and the bridle 4 dollars; he sold them for 75 dollars; did he gain or lose? how much?

11. Five gentlemen agree to contribute 100 dollars toward the Washington Monument; the first gives 16, the second 18, the third. 34, and the fourth 21 dollars; how many dollars does the fifth man contribute, to complete the subscription?

12. What three numbers, taken together, will amount to 31 ?

13. What three numbers, taken together, will amount to 51 ?

OBS. The pupil may add any two numbers, whose sum is less than the required number, and subtract their sum from the number.

It will prove a good exercise, for several pupils to perform the same example, each one giving different numbers.

14. What four numbers, taken together, will amount to 17? 25? 33? 38?

15. What five numbers, taken together, will amount to 17? 25? 33? 38?

16. The expense of sustaining a village school, for four months, is 124 dollars, and it is paid by eight gentlemen; the first pays 12 dollars, the second 13, the third 14, the fourth 15, the fifth 16, the sixth 17, the seventh 18, and the eighth the remainder; what does the eighth pay?

17. How many tens and units will remain, if we subtract 7 tens from 11 tens and 8 units? 4 tens and 8 units are how many?

18. 9 tens how many are 14 tens and 4 units? 19. 15 tens and 6 units how

4 units?

many are

8 tens and

20. 8 tens and 4 units + how many are 100 ?

21. 124 +16

85 are how many?

22. 30+50+20 + 8+ 9 5 - 6 are how many?

23. 1716 351072 are how many?

24. 40+30 +70+6+7-45 are how many? 25. 62875 25 6 are how many?

DIVISION.

SECTION XII.

DIVISION is the process of finding into how many equal parts a given number can be divided, or of finding how many times one number is contained in another number of the same kind.

Division is the opposite of Multiplication, and as the latter is an extension of Addition, so, in like manner, Division may be regarded as an extension of Subtraction. To divide 9 by 3 is the same as finding the number of times that 3 may be subtracted from 9; first, we say, take.3 from 9 and 6 remains, then 3 from 6 and 3 remains, and lastly, 3 from 3 and nothing remains; hence, we ascertain that 3 is contained in 9 three times without a remainder.

The number to be divided is called the dividend. The number divided by is called the divisor. The result of the operation is called the quotient. When anything remains after dividing, it is called the remainder.

The sign of Division is a horizontal line between two dots,, and is read divided by.

1. How many units are contained in 5?

2. If a barrel of apples be worth 2 dollars, how many barrels of apples can you buy for 14 dollars? SOLUTION. As many times as 2 dollars are contained in 14 dollars, so many barrels of apples can I buy

2 dollars are contained in 14 dollars 7 times. ANs. 7 barrels.

3. How many times 2 in 14? in 16? in 22? in 28? 4. A man paid 24 dollars for calves, at 8 dollars a head; how many did he purchase?

5. How many times 8 in 24? in 40? in 48? in 64? 6. If 24 boys were separated into classes of 4 boys each, how many classes would be formed?

7. How many times 4 in 16? in 24? in 32? in 48? 8. If a cow be worth 5 sheep, how many cows can be bought for 25 sheep? how many for 40 sheep? 9. How many times 5 in 15? in 25? in 35? in 45 ?

10. If one yard of cloth be worth 5 dollars, how many yards can be bought for 50 dollars? how many for 35 dollars? for 45 dollars?

11. In an orchard there are 42 trees standing in rows, with 6 trees in a row; how many rows are there in the orchard?

12. How many times 6 in 42? in 54? in 18? in 60 ?

13. If one man can do a piece of work in 56 days, how many men will be required to do the same in 7 days?

14. How many times 7 in 49? in 21? in 35? in 63? 15. How many eggs can be bought for 63 cents, at the rate of a dozen for 9 cents?

16. Fifty-six are how many sevens? fifty-six are how many eights? sixty-three are how many sevens? sixty-three are how many nines?

17. How many times 9 in 18? in 36? in 54? in 72 ?

18. How long will it take a horse to travel 72 miles, if he travels 8 miles in each hour?

19. The sum of 45 dollars was divided, in prizes of 9 dollars each, among some sailors; among how many sailors was it divided?