2. 3lb. of green tea, at 9s. 6d. per lb. 3. 5lb. of loaf sugar, at Is. 3d. per lb. 4. 9cwt. of cheese, at ll. 11s. 5d. per cwt. Ans. 11. 8s. 6d. Ans. 141. 2s. 9d. 5. 12 gallons of brandy, at 9s. 6d. per gallon. Ans. 51. 14s, 1 CASE 1. If the multiplier exceed 12, multiply succesively by its component parts, instead of the whole number at once, as in sim* pie multiplication. EXAMPLES. 1. 16cwt. of cheese, at ll. 18s. 8d. per cwt. 2. 28 yards of broad cloath, at 19s. 4d. per yard. Ans. 271. Is. 4d. 3. 96 quarters of rye, at ll. 3s. 4d. per quarter. 4. 120 dozen of candles, at 5s. 9d. per doz. Ans. 1121. Ans. 341. 10s. 5. 132 yards of Irish cloth, at 2s. 4d. per yard. 6: 144 reams of paper, at 13s. 4d. per ream. Ans. 151. 8s Ans. 961. CASE. 11. If the multiplier cannot be produced by the multiplication of small numbers, find the product of such numbers nearest to itr either greater or less, then multiply by the component parts as before; and for the odd parts, add or subtract as the case requires. 3. 46 bushels of wheat, at 4s. 74d. per bushel. Ans. 10l. 11s. 91d. 4. 59 yards of tabby, at 7s. 10d. per yard. Ans. 231. 2s. 2d. 5. 94 pair of silk stockings, at 12s. 2d. per pair. Ans. 571. 3s. 8d. 6. 117cwt. of Malaga raisins, at 11. 2s. 3d. per cwt. Ans. 1301. 3s. 3d. EXAMPLES OF WEIGHTS AND MEASURES. lb. oz. dwt.gr. lb. oz. dr. sc. gr. cwt.qr. lb. oz. mls.fur.pls.yd. 21 1 7 13 2 4 2 1 0 27 1 13 12 24 3 20 2 COMPOUND DIVISION. Compound Division teaches to find how often one number is contained in another of different denominations. RULE.* 1. Place the numbers as in simple division. 2. Beginning at the left, divide each denomination by the divisor, setting the quotients under their respective dividends. 3. But if there be a remainder after dividing any of the denominations except the least, reduce it to the next lower denomination, and add to it any number, which may be in that denomination; then divide the sum as usual; and so on till the whole is finished. The method of proof is the same as in simple division. EXAMPLES OF MONEY. 1. Divide 2251. 2s. 4d. by 2. 1121. lis. 2d. the quotient. 2. Divide 7511. 14s. f|d. by 3. 3. Divide 8211. 17s. 9|d. by 4. Ans. 2501. 11s. 61d. * To divide a number, consisting of several denominations, by any simple number whatever is evidently the same as dividing all the parts or members, of which that number is composed, by the same simple number. And this will be true, when any of the parts are not an exact multiple of the divisor: for by conceiv ing the number, by which it exceeds that multiple, to have its proper value by being placed in the next lower denomination, the dividend will still be divided into parts, and the true quotient found as before; thus 251. 12s. 3d. divided by 9, will be the same as 181. 144s. 99d. divided by 9, which is equal to 21. 16s. 11d. as by the rule; and the method of carrying from one denomination to another is exactly the same. 4. Divide 281. 2s. 14d. by 6. Ans. 41. 13s. 81d. Ans. 151. 1s. 2d. Ans. 201. 13s. 8d CASE I. If the divisor exceed 12, divide continually by its compo nent parts, as in simple division. EXAMPLES. 1. What is cheese per cwt. if 16cwt. cost 301 18s. 8d.? 4)301. 18s. 8d. 2. If 20cwt. of tobacco come to 1201. 10s. what is that per If the divisor cannot be produced by the multiplication of small numbers, divide by long division. Ans. 37cwt. 3qrs. 18lb. 4. Divide 375mls. 2 fur. 7pls. 2yds. 1ft. 2in. by 39. Ans. 9mls. 4fur. 39pls. 2ft. 8in. 5. Divide 120L. 2qrs. 1bu. 2pe. by 74. Ans. 1L. 6qrs. 1bu. 3pe. 6. Divide 120mo. 2w. 3d. 5h. 20' by 111. Ans. 1mo. 2d. 10h. 12′. DUODECIMALS. DUODECIMALS are so called because they de crease by twelves, from the place of feet toward the right. Inches are sometimes called primes, and are marked thus '; the next division, after inches, is called parts, or seconds, and is marked thus"; the next is thirds, and marked thus "'; and so on. Duodecimals are commonly used by workmen and artificers in finding the contents of their work. |