« PreviousContinue »
per ib. ?
3. What is the value of 29 pairs of men's shoes, at 1 dollar 51 cents per pair ? Ans. 843, 79 cents. 4. What cost 131 yards of Irish linen, at 38 cents per
Ars. $49, 78 cents. 5. What cost 140 reams of paper, at 2 dollars 35 cents
Ans. S329. 6. What cost 144 lb. of liyson tea, at 3 dollars 51 cents
Ans. $505, 44 cents. 7. What cost 94 bushels of oats, at 33 cents per bushi el :
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. 687, 72 cents. 10. Bought 37 horses for shipping, at 52 dollars per head; what do they come to ?
Ans. 81924. 11. What is the amount of 500 lbs. of hog's-lard, at 15 cents per Ib. ?
Ans. 875. 12. What is the value of 75 yards of satin, at 3 dollars 75 cents per yard?
Ans. %281, 25 cents. 13. What cost 567 acres of land, at 14 dols. 67 cents
Ans. $5383, 89 cents. 14. What does 857 bls. pork come to, at 18 dols. 93 cents per bl. ?
Ans. $16223, 1 cento 15. What does 15 tons of Hay.come to, at 20 dols. 78 sts. per lon?
Ans. $311, 70 cents. 16. Find the amount of the following
BILL OF PARCELS.
New-London, Maren 9, 1814. Mr. James Paywell, Bought of William Merchant.
8. cts. 28 lb. of Green Tea, at 2, 15 per lb. 41 lb. of Coffee,
at 0, 21 34 lb. of Loaf Sugar,
at 0, 19 13 cwt. of Malaga Raisins, at 7, 31 per cut. 35 firkins of Butter, at 7, 14 per fir. 27 pairs of worsted Hose, at 1, 04 per pair. 94 hushels 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
per acre ?
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.
9. 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 seek, multiply and subtract, till you have brought down every figure of the dividend.
Proor. Multiply the divisor and quotient together and add the remainder if there be any tv the product ; if the work be right, the sum will be equal to the dividend.*
* Another method which some make use of to prove divi sion is as follows : viz. Add the remainder and all the products of the several quotient figures multiplied by the divisor
0 Rem. 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 excese 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 prodụct 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 is right, the top and bottom figures will be alike.
Daysor, Dir.Qilolient. 95)85595(901
61) 28609469 756)863250(1172
472 251104(552 there remains 664 9. Divide 1893512 by 912.
Ans. 2076. 10. Divide 1893312 by 2076.
Ans. 912. 11. Divide 47254149 by 4674.
12. What is the quotiữnt of 330098043 divided by 4207 ?
Ans. 78464. 13. What is the quotient of 761858465 divided by 8465 :
Ans. 90001. 14. How often does 761858465 contain 90001 :
Ans. 6465. 15. How many times 58475 can you have in 119184695?
Ans. 309733311 16. Divide 280208122081 by 912314.
CASE II. When there are cyphers at the right hand of the divi. sor; 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.
91231* MORE EXAMPLES FOR EXERCISE.
1. Divide 4673625 by 21400. 214(00)46736)25(218,942,5 true quotient by Restitution.
8125 true rem."
1.176 42 9770007
2. Divide 379432675 by 6500 Ars. 593741
76478 901000)65-45472301 1221930 7 20000) 9876540001 1534000
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 ligures of the divident!, put the result under, and carry as many tens to the next figure as there
Divide every figure in the same manner till the whole is finished.
are ones Over.
Contractions in Division. When the divisor is such a number, that any two figo ures in the Table, being multiplied together will produce at, divide the given dividend by one of those figures ; the quotient thence arising by the other ; and chic last quotient will be tlie answer.
Note. The total remainder is found by multip sing the last remainder by the first divisor, and in ang in the tirst remainder,