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· CASE 11. When the initipler crisists of several figures. RULE.--The inulipier being paced under the multiplicand, units under units, tens un.er lens, &c. multiply by each significant figure in the multiplier separanly, facing the first figure in each product exactly under its muhoplier : tiirn add the several products togetha. in the same order as the son, and their sum will be the total product

ER PLES.
What number is e.uci in 47 times 365?

Multiplicand, 3 6 5
Multiplier, 47

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14. Multiply 760483 by 9152. Ans. 69599-40416. · 15. What is the total product of 7608 times 365432.

Ans. 2780206656. 16. What number is equal to 40003 times 4897685.

Ans. 195922093055.

CASE III. When there are ciphers on the right land of either or both of the factors, neglect those cij bers; then place the significant figures under one another, and multiply by then only, and to the right had of the product, place as many rephers as were omitted in both the factors.

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7065000 X 8700=61465500000 749643000 x 695000=521001885000000 360000 x 1200000=432000000000

CASE IV. When the niultiplier is a composite number, that is, when it is produced by multiplying any two numbers in the table Logether, multiply first by one of these figures, is that product by the other, and the last product will be the local required.

EXAMPLES.

Multiply 41364 by 35 THE X H=35.

289548 Product of 7

1447740 Product of 35

2. Multiply 764131 by 48.

Ans. 366782 8. Multiply 342516 by 56.

Ans. 19180896 4. Multiply 209102 by 72.

Ans. 15076944 5. Multiply 91738 by 81.

Ans. 7430778. 6. Multiply 34462 by 108., Ans. 3721896. 7. Multiply 615243 by.144.

Ans. 88591992

CASE V. To multiply by 10, 100, 1000, Sur.. alrex to the muli Dlicand all the ciphrrs in the multiins, and it will make the product required

EXAMPLES.

1. Multiply 365 hy 10.

Ans. 3650 2. Multiply 4657 liv 100.

Ans. 465700 3. Multiply 5224 by 1000.

Ans. 5224000 4. Multiply 26460 by 10900. Ans. 264600XX0

EXAMPLES FOR EXERCISE. 1. Multiply 1203450 by 9004. Ans. 10835863300 2. Multiply 9087061 by 56702. Ans. 515309055188. 3. Multiply 8706544 by 67089. Ans. 584113:3:30416. 4 Multiply 4321209 by 123409. Ans. 5:33276081481, 5. Multiply 3456789 by 567090. Ins. 1960310474010. 6. Multiply 8496427 by 874359. Ans. 7428927415293.

98763542 x 98763542=8751237228385704.

Application and Use of Multiplication. In making out bills of parcels, and in finding the value a goods ; when the price of one vard, pound, &c. is given Ferleral Moncy) to find the value of the worle quantity,

* Rule.-Multiply the given price and quantity together, as in whole numbers, and the scparatrix will be as many figures from the ight hand in the product as in the given price.

EXAMPLES 1. What will 35 yards of broad- / $. d. c. m. cloth come to, at

13, 4 9 6 per yard ?

3 5

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Ans. $122, 3 6 0=122 dol

(lars, 36 cents. 2. What cost 35 lb. cheese at 8 cents per lb. ?

,08 o Ans. $2,80=2 dollars 80 cents.

. What is the value of 29 pairs of men's shoes, at 1 dol;.51 cents per pair ? . Ans. $43, 79 cents.

4. What cost 131 yards of Irish linen, at 38 cents per yoord ?

Ans. $49, 78 cents. 5. What cost 140 reams of paper, at 2 dollars 35 cents per ream ?

Ans. $329. 1. What cost 144 lb. of hyson tea; at 3 dollars 51 cenis per lb. ?

Ans $505, 44 cents. 7. What cost 94 bushels of oats, at 33 cents per bushe'?

Ans. $31, 2 cents. 8. What do 50 firkins of butter come to, at 7 dollars 1: cents per firkin ?

- Ans. $357. 9. What cost 12 cwt. of Mala ya 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 1.3 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. 13. What cost 367 acres of land, at 14 dols. 67 cents per acre ?

A'us. $5383, 89 cents.

14. What does 857 bls. pork coine to, at 18 duls. Hi cents per bl. ?

Ans. $10223, 1 cent. 15. What does 15 tuns of hay come to, at 20 dols. 79 cts. per tun?

Aus. $311, 70 cents. 16. Find the amount of the following

BILL OF PARCELS.

New-London, March 9, 1814. 31 Mr. Jamis Payroell, Bought of William Merchant"

$. cts. 28 lb. of Green Tea

at 2, 15 per lb.. 41 lb. of Coffee,

0, 21 34 lb. of Loaf Sugar,

at 0, 19 13 cwt. of Malaga Raisins 31 per ciot. 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 Merculan

A SHORT RULE. Nore. The value of 100lbs. of any article will be jus 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 tiine one whole number is contained in another; and also wha: remains; and is a concise way of performing several sil, tractions.

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. T'he Quotient, or answer to the question, which shows how inany 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.

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