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Twenty four sextillion, five hundred million and nine.

2 Sixteen thousand, four hundred and sixty four, and nine tenths.

Two hundred and sixty nine million, fourteen hundred and three, and thirteen hundredths.

Forty four million, three thousand and six, and twenty thousandths.

Five hundred million, nine hundred and ninety nine thousand, eight hundred and seventy nine, and two hun. dred and sixty four tenths of thousandths.

Six hundred and seventeen thousand, four hundred and sixty eight, and five hundred and seventy nine hundredths of thousandths. Forty six million, nine thousand, and seventy millionths.

3 Add two twelfths, three fourths, and four sixths. (See page 172.)

4 Add twenty four fiftieths, sixteen tenths, and twenty halves.

5 Add forty nine eightieths, seventy nine fortieths, and two hundred thousandths.

6 Add nine twenty sevenths, thirteen forty fourths, and twenty nine seventieths.

SUBTRACTION.

1 From,

Three hundred and sixty nine million, four hundred twenty seven thousand, three hundred seventy six,

Subtract,

Two hundred and ninety three million, four hundred and eighty three thousand, nine hundred and eighty

seven.

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2 From,

Twenty four billion, six hundred and thirteen million, four hundred and forty four thousand, eight hundred and eighty six, and twenty nine hundredths,

Subtract,

Sixteen billions, twenty four thousand and sixteen, and four hundred and six thousandlhs.

3 From,

Sixty four sextillion, ninety trillion, seven billion, twen. ty nine million, forty thousand three hundred and six, and twenty nine tenths of millionths,

Subtract,

Fourteen quintillions, nine quadrillions, seven trillions, fourteen thousand and eighty, and seven hundredths of millionths.

4 From nine twelfths, subtract two fifths. (See p. 172.)

From thirteen twenty sevenths, subtract three twenty fourths.

6 From three fifths, subtract twenty nine seventy sevenths.

7 From, Twelve hundred and six, four hundred and twentieths, Subtract, Four hundred and nine, nine hundred and ninetieths.

MULTIPLICATION.

1. Multiply 32694302 by 365.
2. Multiply 24,2 by 27 (see page 112.)
3. Multiply 324,92 by 236.
4. Multiply 236,49 by 2,4.
5. Multiply 47,2935 by 2,68432.
6. Multiply 876,24 by 32,94. Endelig

7. Multiply 14 yds. 3 qrs. 2 na. by 28. 8. Multiply 8 le. 2 m. 6 fur. 22 po. by 362. 9. Multiply 2 bu. 3 pk. 1 qr. 1 pt. by 172. 10. Multiply j by 3 (see page 116.) 11. Multiply by 48. 12. Multiply if by 32. 13. Multiply 12 by (see page 120.) 14. Multiply 24 by s. 15. Multiply 324 by : 16. Multiply 2342 by 17. Multiply by . 18. Multiply by . 19. Multiply by. . 20. Multiply by fl 21. Multiply 34 by 17.

27

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SUMS FOR MENTAL EXERCISE.
Multiply 5 and i by .
Let such sums be stated thus :
One fourth of 5 is 1 unit, and I remains.

This remaining 1 is changed to sixths and added to the %, making

One fourth of one sixth would be 4, therefore one fourth of eight sixths is a

In the above operation we find that one fourth of 5 is 1 and 1 remains. This remainder is changed to sixths and added to the fraction, and then is divided by 4. The an. swer is 1 and a

1. If a yard of muslin cost 2}, what will į a yard cost ? What is of 27?

2. If a barrel of wine cost 104 dollars, what cost a barrel ? What is of 104?

3. If 4 bushels of rye cost 8 dollars and }, what cost 2 bushels ? What is 1 of 87 ?

4. If you have 24 oranges, and give { away, how much do you keep? What is of 24 ? What is 4 of 87?

5. If9 bushels of wheat cost 18f dollars, how much is that a bushel? What is of 187!

6. If 12 pieces of linen cost 16f dollars, how much is that by the piece ?

7. If 8 gallons of brandy cost 145 dollars, how much is that a gallon ?

8. If 8 yards of broadcloth cost 287 dollars, how much is that a yard?

9. How much would 4 yards cost?

10. If a man bought 8 barrels of cider for 25. dollars, how much is one barrel ?

11. How much is 9 barrels ?

12. If 12 yards of linen cambric cost 424 dollars, what would 7 yards cost?

13. If you have 12 dollars and ], and lose 3 times as much, how much do

you lose ? We first multiply the 127 by 3 and then by 1:

3 times 12 is 36, and 3 times I is for 1, which, added to 36, is 37.

12 and g multiplied by į is 6 and ], which added to the 37 makes 43 and 1.

14. Multiply 8 and } by 4 and {.

In doing this sum, first multiply the 8 and then the frac. tion by 4, and add the products together. Then multi. ply the 8, and the fraction by }, and add these to the former products.

Thus 4 times 8 is 32. Four times is , which is 1 . This added to 32 is :33 and k.

One third of 8'is 2, and 2 remains. Add 2 to the 33 making 35. Change the remainder to fifths and add the

making : One third of one fifth would be 1, there. fore of 4 is įj, which added to 35 and makes 35 and i'}, which equals 36 and .

15. Multiply 5 and 4 by 2 and 1. 16. Multiply 12 and 3 by 2 and k. 17. Multiply 9 and by 6 and 4. 18. Multiply 7 and 3 by 4 and .. 19. Multiply 11 and by 3 and 4. 20. Multiply 8 and by 8 and go 21. Multiply 10 and's by 7 and .

22. 'If you buy 9 and gallons of wine and return 23 times as much, how much do you return?

23. If one boy takes 12 apples and f, and another takes 54 times as many, how many does the last take?

24. If one room requires 12 and i yards of carpeting, and another requires 3 and 4 times as much, how much is required ?

DIVISION. 1. Divide 9123648 by 79632. 2. Divide 246,2 by 23 (See page 157.) 3. Divide 2394,609 by 235. 4. Divide 3246,9214 by 39. 5. Divide 32,4 by 9,4 (See page 157.) 6. Divide 3294 by 2,79. 7. Divide 324,976 by 2,4 (See page 157.) 8. Divide 329,42 by 3,24. 9. Divide 329021,4639 by 296,029. 10. Divide 112£. 12s. 7d. 4 qrs. by 38. 11. Divide 29 yds. 2 qrs. 3 na. by 39. 12. Divide 2 m. 5 fur. 17 po. 3 yds. by 91. 13. Divide 12 by $ (See page 141.) 14. Divide 128 by . 15. Divide 418 by im. 16. Divide 324 by . 17. Divide 3297 by 18. 18. Divide i by 6 (See page 144.) 19. Divide i by 16. 20. Divide by 27. 21. Divide 2017 by 361. 22. Divide 436 by 249. 23. Divide by 1 (See page 148.) 24. Divide is by 4. 25. Divide by . 26. Divide 427 by lia.

EXAMPLES FOR MENTAL EXERCISE.

1. Divide f by to Divide 4 by (See page 170.) 2. Divide by : Divide 4 by : 3. Divide by is. Divide f by : 4. Divide by : Divide by . 5. Divide by : Divide by $. 6. Divide 1 by 1. Divide by to 7. How many times is contained in . 8. How many times is contained in ? 9. How many times is contained in 1?

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