amount, which carry in like manner to the next product, setting down the overplus.-Proceed thus to the highest denomination proposed: so shall the last product, with the several remainders, taken as one compound number, be the whole amount required.-The method of Proof, and the reason of the Rule, are the same as in Simple Multiplication.

EXAMPLES OF MONEY.

1. To find the amount of 8 lb of Tea, at 5s. 8d. per lb.

I. If the multiplier exceed 12, multiply successively by its component parts, instead of the whole number at once.

Ans. 7

19

Ans. 84

0 0

4 0

0 0

Ans. 34 10 0

Ex. 5. 63 gallons of Oil, at 2s 3d per gall. 6. 70 barrels of Ale, at 11 4s per barrel. 7. 84 quarters of Oats, at 17 12s 8d per qr. Ans. 137 8. 96 quarters of Barley, at 11 38 4d per qr. Ans. 112 9. 120 days' Wages, at 5s 9d per day. 10. 144 reams of Paper, at 13s 4d per ream. Ans. 96 0 0 II. If the multiplier cannot be exactly produced by the multiplication of simple numbers, take the nearest number to it, either greater or less, which can be so produced, and multiply by its parts, as before.-Then multiply the given multiplicand by the difference between this assumed number and the multiplier, and add the product to that before found, when the assumed number is less than the multiplier, but subtract the same when it is greater.

EXAMPLES.

1. 26 yards of Cloth, at 3s 03d per yard.

7 S d

0 3 02

5

0 15 3

5

3 16 63

3 03 add

£3 19 7 Answer.

EXAMPLES OF WEIGHTS AND MEASURES.

2. 29 quarters of Corn, at 21 5s 3d per qr.

Ans. 65 12 101 3. 53 loads of Hay, at 37 15s 2d per ld. Ans. 199 3 10 4. 79 bushels of Wheat, at 11s 53d per bush.

Ans. 45 6 101 5. 97 casks of Beer, at 12s 2d per cask. Ans. 59 0 2 6. 114 stone of Meat, at 15s 33d per st. Ans. 87 5 71

COMPOUND DIVISION teaches how to divide a number of several denominations by any given number, or into any number of equal parts; as follows:

PLACE the divisor on the left of the dividend, as in Simple Division.-Begin at the left-hand, and divide the number of the highest denomination by the divisor, setting down the quotient in its proper place.-If there be any remainder after this division, reduce it to the next lower denomination, which add to the number, if any, belonging to that denomination, and divide the sum by the divisor.-Set down again this quotient, reduce its remainder to the next lower denomination again, and so on through all the denominations to the last.

I. If the divisor exceed 12, find what simple numbers, multiplied together, will produce it, and divide by them separately, as in Simple Division, as below.

EXAMPLES.

1. What is Cheese per cwt, if 16 cwt cost 25l 14s 8d?

2. If 20 cwt of Tobacco come to 1501 6s 8d, what is that per cwt?

3. Divide 981 8s by, 36.

4. Divide 711 13s 10d by 56.

5. Divide 441 4s by 96.

6. At 311 10s per cwt, how much per lb?

the multiplica

II. If the divisor cannot be produced by tion of small numbers, divide by the whole divisor at once, after the manner of Long division, as follows.

Ans. 2 lb 6 oz 8 dwts 14 gr.

2. Divide 17 lb 5 oz 2 dr 1 scr 4 gr by 12.

Ans. 1 lb 5 oz 3 dr 1 scr 12 gr. qr 14 lb. 3. Divide 178 cwt 3 qrs 14 lb by 53. Ans. 3 cwt 1 4. Divide 144 mi 4 fur 20 po 1 yd 2 ft 0 in by 39.

Ans. 3 mi 5 fur 26 po 0 yds 2 ft 8 in.

5. Divide 534 yds 2 qrs 2 na by 47. Ans. 11 yds 1 qr 2 na.

6. Divide 77 ac 1 ro 33 po by 51.
7. Divide 2 tu 0 hhds 47 gal 7 pi by

8. Divide 387 la 9 qr by 72.
9. Divide 206 mo 4 da by 26.

Ans. 1 ac 2 ro 3 po. 65. Ans. 27 gal 7 pi. Ans. 5 la 3

7 bu.

qrs Ans. 7 mo 3 we 5 ds.