3. What is the value of 29 pairs of men's shoes, at 1 dollar 51 cents per pair? Ans. $43, 79 cents. 4. What cost 131 yards of Irish linen, at 38 cents per yard? Ans. $49, 78 cents. 5. What cost 140 reams of paper, at 2 dollars 35 cents per ream ? 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. 831, 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. per lb. ? 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 lb. ? Ans. $75. 12. What is the value of 75 yards of satin, at 3 dollars 75 cents per yard? Ans. $281, 25 cents. 13. What cost 367 acres of land, at 14 dols. 67 cents per acre ? Ans. $5383, 89 cents.. 14. What does 857 bls. pork come to, at 18 dols. 98 cents per bl. ? Ans. $16223, 1 cent. 15. What does. 15 tons of Hay come to, at 20 dols. 78 ets. per ton ?. Ans. $311, 70 cents. 16. Find the amount of the following BILL OF PARCELS. Mr. James Paywell, ,28 lb. of Green Tea, New-London, March 9, 1814. at 0, 21 41 lb. of Coffee, $4 lb. of Loaf Sugar, 13 cwt. of Malaga Raisins, 35 firkins of Butter, 27 pairs of worsted Hose, 94 bushels of Oats, 99 pairs of men's Shoes, Received payment in full, A SHORT RULE. NOTE. The value of 100 lbs. 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 cents-4 dollars, &c. DIVISION OF WHOLE NUMBERS. SIMPLE DIVISION teaches to find how many times 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 shows 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 next figure of the dividend to the right hand of the remainder; after which, you must seel, 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 sura will be equal to the dividend.* *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 remainder, and 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 ts right, the top and bottom figures will be alike. Divisor,Div. Quotient. 61)28609(469 472)251104(532 95)85595(901 736)863256(1172 there remains 664 Ans. 2076. Ans. 912. 46 9. Divide 1893312 by 912. 10. Divide 1893312 by 2076. 11. Divide 47254149 by 4674. Ans, 101105: 12. What is the quotient of $30098048 divided by 4207 ? 13. What is the quotient of 761858465 divided by $465 ? Ans. 90001. 14. How often does 761858465 contain 90001 ?. Ans. 78464. Ans. 8465. 15. How many times 38473 can you have in 119184693? Ans. 30973. 16. Divide 280208122081 by 912314. Quotient 307140, 127. MORE EXAMPLES FOR EXERCISE. -234063)590624922(Quotient)83973 47614)327879186( 987654)988641654( CASE II. 912314 Remainder. 9182 0 When there are cyphers at the right hand of the divisor; cut off the cyphers in the divisor, and the same number of figures from the right hand 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.. EXAMPLES. 1. Divide 4673625 bv 21400. 214(00)46736)25(218,842 true quotient by Restitution. 428.. 393 214 1796 1712 8425 true rem. 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. Divisor. Dividend. EXAMPLES. 2)113415 3)85494 4)39407 5)94379 When the divisor is such a number, that any two figures in the Table, being multiplied together will produce it, divide the given dividend by one of those figures; the quotient thence arising by the other; and he last quotient will be the answer. NOTE. The total remainder is found butip ying the last remainder by the first divisor, andang in me first remainder. |