Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

dividend, then divide the remaining figures by each other, as usual, the quotient is the answer, and what remains, placed before the figures cut off, is the true remainder.

When the divisor does not exceed 12, or is a composite number, or when ciphers may be cut off from it, the division may be shortened by multiplying and dividing mentally, and writing the quotient under the dividend.

[blocks in formation]

When the divisor is large, a table may be formed of the products of the nine digits, (either by multiplying or succes

sively adding) by which, the quotient figures to the several dividends, may be readily found thus,

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small]
[blocks in formation]

When the divisor is a composite number, that is, if any two figures, being multiplied together, will make that number, then divide the dividend by one of those figures, and the first quotient by the other figure, and it will then give the quotient required.-But as it sometimes happens that there is a remainder to each of the quotients, and neither of them the true one, it may be found by this

RULE. Multiply the first divisor by the last remainder, and to the product add the first remainder, which will give the true one.

[blocks in formation]

When the price of a ton or 2240 lbs. of Old Sable iron is $112, how much is it per lb. ?

[blocks in formation]

Or, 2240)11200(5 cents.

11200

Ans. 5 cents.

To divide by mixed numbers, or a whole number and a fraction.

RULE. Reduce the divisor and dividend into the same name, and divide as usual; if there is a remainder, reduce it to its value in integers.

EXAMPLES.

In 3461 yards, how many perches of 5 yards each?

5 346

[blocks in formation]

How many perches or poles, of 16 feet each, in 1790† feet?

[blocks in formation]

When the divisor is 10, 100, 1000, &c. the figures of the dividend, that remain after pointing, give the quotient or answer without dividing, and in this way, mills and cents

are reduced to dollars, by pointing off in the dividend for the ciphers in the divisor, for dollars.

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][ocr errors][merged small][merged small]
« ΠροηγούμενηΣυνέχεια »