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3. In $47 4s. how many shillings?

4. In 29 guineas at 28s. how many farthings?

1. In 62618qr. how many pounds?

2. In 1407092qr. how many pounds?

3. In 286s. how many dollars?

4. In 38976qr. how many guineas?

5. In 40 guineas how many 5. In £56 how many guinpounds?

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1. In 13lb. how many grains? 2. In 22lb. 6oz. 10pwt. how many grains?

1. In 74880grs. how many pounds?

2. In 129840gr. how many pounds? Avoirdupois Weight.

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The above methods of changing decimals to integers of a different denomination, and the reverse, are called the Reduction of Decimals.

10 *

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144. To find the value of a decimal in integers of a lower denomination.

RULE.-Multiply the decimal by that number which it takes of the next lower denomination to make one of the denomination in which the decimal is given, and point off as in the multiplication of decimals. (122) Multiply the decimal part of the product by the number it takes of the next lower denomination to make one of that, and so on; the several numbers at the left of the decimals will be the an

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145. In computing interest, it is common to consider 30 days one month, and 12 months a year.

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1. S. d. 2 17 8 1 5 3

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2. Addition.

146. 1. A person gave 21. 17s. and 8d. for a load of hay, 11. 5s. 3d. for 5 bush. of wheat, and 10s. 4d. for a load of wood; what did the whole cost? As we may very evidently add pence to pence, shillings to shillings, &c. we write down the numbers so that pence shall stand under pence, shillings under shillings, and so on. We then add the pence, and find their sum to be 15d. but as 12d-1s. 15-1s. 3d. We therefore write down 3d. under the column of peuce, and reserve the 1s. to be joined with the shillings. We now add together the shillings, which, with the 1s. reserved, amount to 338.-11. 13s. we therefore write 13s. under the column of shillings, and reserve the 17. to be joined with the pounds. Lastly, we add the pounds, and joining the 17. reserved, write the amount, 4. under the column of pounds; and thus we find the whole cost to be 41. 13s. 3d. The above process is called Compound Addition.

4 13

3 Ans.

4 13 3 proof.

COMPOUND ADDITION

147. Is the uniting together of several compound numbers into one sum. (48)

RULE.

148. Place the numbers to be added so that those of the same denomination may stand directly under each other.

Add the numbers of the lowest denomination, and carry for that number which it takes of that denomination to make 1 of the next higher, writing the excess, if any, at the foot of the column. Proceed with each denomination in the same way till you arrive at the last, whose amount is to be set down as in Simple Addition.

PROOF. The same as in Simple Addition.

QUESTIONS FOR PRACTICE.

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