RULE.-Multiply the given price and quantity together, as in whole numbers, and the separatrix 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

J3, 4 9 6 per yard?

35

17 4 8 0

104 8 8

Ans. $122, 3 6 0=122 dol

[lars, 36 cents.

2. What cost 35 lb. cheese at 8 cents per lb. ?

,08

Ans. $2, 80-2 dollars 80 cents.

3. What is the value of 29 pairs of men's shoes, at 1 dol.51 cents per pair?

Ans. $43, 79 cents. 1. What cost 131 yards of Irish linen, at 38 cents per yurd? 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.

per lb. ? 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 lb.,?

Ans. $75 12. What is the value of 75 yards of satin, at 3 dollars 75 cents per yard?

13. What cost 367 acres of land, at

per acre?

Ans. $281, 25.

14 dols. 67 cents Ans. 85383, 89 cents.

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== dollars, &c.

DIVISION OF WHOLE NUMBERS.

SIMPLE DIVISION teaches to find how many times one whole number is contained in another; and also wha remains; and is a concise way of performing several sub 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. 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.

PROOF. Multiply the divisor and quotient together, and aad the temainder, if there be any, to the product; if the work be right, the Bum 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 re

mainder, 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

15. How many times 38473 can you have in 119184693 |

16. Divide 280208122081 by 912314.

Ans. 3097.

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 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 wil have the true remainder

EXAMPLES.

1. Divide 4673625 by 21400.

214(00)46736)25(218 true quotient by Restitution

428

21400

Short Division is when the Divisor does not exceed 12. RULE. Consider how many times the divisor is contained in the årst figure or figures of the dividend, put the result under, and carry is 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