RULE. --Multiply tho given price and quantity together, as in whole numbers, and the separatrix will be as many figures from the right hand in the product as in the given price. EXAMPLES. 1. What will 35 yards of broad-1 $. d. c. m. cloth come to, at 3, 4 9 6 per yard? 3 5 17 4 80 104 88 Ans. $122, 3 6 0=122 dol [lars, 36 cents. 2. What cost 35 lb. cheese at 8 cents per lb. ? ,08 yard? per ream? per-lb. ? Ans. $2, 80=2 dollars 80 cents. 3. What is the value of 29 pairs of men's shoes, at I dollar 51 cents per pair? Ans. $43, 79 cents. 4. What cost 131 yards of Irish linen, at 38 cents per Ans. $49, 78 cents. 5. What cost 140 reams of paper, at 2 dollars 35 cents Ans. $329. 6. What cost 144 lb. of hyson tea, at 3 dollars 51 cents Ans. $505, 44 cents. 7. What cost 94 bushels of oats, at 33 cents per bushel ? Ans. $31, 2 cents. 8. What do 50 firkins of butter come to, at 7 dollars 14 cents per firkin ? Ans. $357. 9. What cost 12 cwt. of Malaga raisins, at 7 dollars 31* cents per cwt. ? Ans. $87, 72 cents. 10. Bought 37 horses for shipping, at 52 dollars per head: what do they come to ? Ans. $1924. 11. What is the amount of 500 lbs. of hog's-lard, at 15 cents per Ans. $75. 12. What is the value of 75 yards of satin, at 3 dollars 75 cents per yard ? Ans. $281, 25. 13. What cost 367 acres of land, at 14 dols. 67 cents Ans. $5383, 89 cents. per acre ? 14. What does 857 bls. pork come to, at 18 dols. 93 cents per bl. ? Ans. $16223, 1 cent. 15. What does 15 tuns of hay come to, at 20 dols. 78 cts. per tun? Ans. $311, 70 cents. 16. Find the amount of the following BILL OF PARCELS. at 0, at 7, 19 New-London, March 9, 1814. Mr. James Paywell, Bought of William Merchant. $. cts. 28 lb. of Green Tea, at 2, 15 per 1b. 41 lb. of Coffee, at 0, 21 34 lb. of Loaf Sugar, 13 cwt. of Malaga Raisins, cwt. 35 firkins of Butter, at 7, 14 per fir. 27 pairs of worsted Hose, at 1, 04 per pair. 94 bushels of Oats, at 0, 33 per bush. 29 pairs of men's Shoes, at 1, 12 per pair. Amount, $511, 78. Received payment in full, WILLIAM MERCHANT. A SHORT RULE. NOTE. The value of 100lbs. of any article will be just as many dollars as the article is cents a pound. For 100 lb. at 1 cent per lb.=100 cents=1 dollar. 100 lb. of beef at 4 cents a lb. comes to 400 centsr-4 dollars, &c. DIVISION OF WHOLE NUMBERS. SIMPLE DIVISION teaches to find how many tiines one whole number is contained in another; and also what remains; and is a concise way of performing several subtractions. Four principal parts are to be noticed in Division : 1. The Dividend, or number given to be divided. 2. The Divisor, or number given to divide by. 3. The Quotient, or answer to the question, which showe how many times the divisor is contained in the dividend. 4. The Remainder, which is always less than the divisor and of the same name with the Dividend. RULE.First, seek how many times the divisor is contained in as many of the left hand figures of the dividend as are just necessary ; (that is, find the greatest figure that the divisor can be multiplied by, so as to produce a product that shall not exceed the part of the dividend used ;) when found, place the figure in the quotient ; multiply the divisor by this quotient figure; place the product under that part of the dividend used ; then subtract it therefrom, and bring down the which, you must seek, multiply and subtract, till you have brought down every figure of the dividend. PROOF. Multiply the divisor and quotient together, and add the remainder, if there be any, to the product; if the work be right, the sum will be equal to the dividend.* 3656 Proof by 31 addition. 3 Remainder. * Another method which some make use of to prove division is as follows : viz. Add the remainder and all the products of the several quotient figures multiplied by the divisor together, according to the order in which they stand in the work; and this sum, when the work is right, will be equal to the dividend. A third method of proof by excess of nines is as follows, viz. 1. Cast the nines out of the divisor, and place the excess on the left hand. 2. Do the same with the quotient, and place it on the right hand. 3. Multiply these two figures together, and add their product to the remainderand reject the nines, and place the excess at top. 4. Cast the nines out of the dividend, and place the excess at bottom. Note. If the sum is right, the top and bottom figures will be alike. 365)49640(136 365 Divisor. Div. Quotient. 29)15359(529 145 Proof by excess of 9's. 85 5 58 2 X7 279 5 261 1314 2190 2190 Ans. 10110 2017: Remains 18 0 Rem. Divisor. Div. Quotient, 95(85595(901 61)28609(469 736)863256(1172 472)251104(532 there remains 664. 9. Divide 1893312 by 912. Ans. 2076, 10. Divide 1893312 by 2076. Ans. 912, 11. Divide 47254149 by 4674. 12. What is the quotient of 330098048 divided by 4207? Ans. 78464, 13. What is the quotient of 761858465 ?ivided by 8465? Ans. 90001. 14. How often does 761858465 contain 90001 ? Ans. 8465. 15. How many times 38473 can you have in 119184693 3 Ans. 3097338. 16. Divide 280208122081 by 912314. Quotient, 307140LT Remainder. 9182 987654(988641654 )-..0 CASE II. When there are ciphers at the right hand of the divisor, cut off the ciphers in the divisor, and the same number of figures from the right hard of the dividend; then divide the remaining ones as usual, and to the remainder (if any) annex those figures cut off from the dividend, and you will have the true remainder 214(00346736)25(218.30 EXAMPLES. 1. Divide 4673625 hy 21400. 214(00)46736)25(21831 true quotient by Restitution. 428 393 1796 8425 true rem. 2. Divide 379432675 by 6500. Ans. 583741974. 3. Divide 421400000 by 49000. Ans. 8600. 4. Divide 11659112 by 89000. Ars. 131,117 5. Divide 9187642 by 9170000. Ans. l.1748 MORE EXAMPLES. Remains. 76478 901000)654347230 )221230 720000)9876540000 )534000 CASE III. Short Division is when the Divisor does not exceed 12. Rule. Consider how many times the divisor is contained in the first figure or figures of the dividend, put the result under, and carry as many tens to the next figure as there are ones over. Divide every figure in the same manner till the whole is finished. EXAMPLES, Divisor. Dividend. 2)113415 3)85494 4)39407 5)94379 Quotient, 56707-1 6)120616 7)152715 8)96872 9)118724 11)6986197 12)14814096 12)570196382 |