 | William Scott - Arithmetic - 1854 - 232 pages
...The rule for division of decimal fractions may be also inferred from the following considerations. The product of the divisor and quotient is equal to the dividend ; whence the number of decimal figures in the divisor and quotient must be equal to the number of decimal... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...quotient, and the successive products subtracted from the dividend. When the dividend is thus exhausted, the product of the divisor and quotient is equal to the dividend ; and the quotient is thus proved to be correct. The Divisor, when a polynomial, is sometimes set on... | |
 | Popular educator - 1860 - 536 pages
...Division therefore is finding a quotient, tchich multiplied into the dirisvr icill produce the dividt-ml. As the product of the divisor and quotient is equal to the dividend, the quotient may be fouud, by resolving the dividend into two such factors, that one of them shall be the divisor. The... | |
 | Horatio Nelson Robinson - Algebra - 1860 - 240 pages
...Quotient, \/9" = 3, Ans. 7. Quotient, 4 V*12 ; reduced, 4 v/4~х~3 = 8 \/F, Ans. 8. In any division, the product of the divisor and quotient is equal to the dividend. Therefore, let Q represent the quotient ; v/Ï5 Q = 3 v/ÏÔ. By squaring, 15 Q2= 9 x 10. Dividing... | |
 | Popular educator - 1872 - 842 pages
...DIVISION, therefore, is finding a quotient, which multiplied into the dioisor will produce the dividend. AB the product of the divisor and quotient is equal to...The other will, of course, be the quotient. Suppose, for instance, that abd is to bo divided by a. The factors a ;md l>d will produce the dividend. The... | |
 | Joseph Ficklin - Algebra - 1874 - 446 pages
...r by -j. Denoting the quotient 0 Cl by x, we have а с • __ _ —- . rp Ï. ~ • 7 - **" bd But the product of the divisor and quotient is equal to the dividend; hence, с а x*d = bMultiplying both members of this equation by - (42, 4), we с have edad a: X -т... | |
 | Robert Potts - Arithmetic - 1876 - 418 pages
...divisor and quotient shall be equal to the dividend. To divide f by £. From the nature of division, the product of the divisor and quotient is equal to the dividend, and in this case £ x quotient = -f . Multiply those equals by -j ; then -fxfx quotient = fxf ; or... | |
 | Robert Potts - Arithmetic - 1876 - 392 pages
...divisor and quotient shall be equal to the dividend. To divide -f by £. From the nature of division, the product of the divisor and quotient is equal to the dividend, and in this case $ x quotient = f . Multiply those equals Ъу 4 í then fxfx quotient = fxj ; or f£... | |
 | Andrew H. Baker - Arithmetic - 1878 - 204 pages
...(4.) .01 .00001 .01 .00001 .0001 .000000001 DIVISION. Corollaries to Theorem, Page 3-4. COE. 1. — As the product of the divisor and quotient is equal to the dividend, therefore the dividend has as many decimal figures as both divisor and quotient. COK. 2.— If the... | |
 | James Bates Thomson - Algebra - 1878 - 322 pages
...2°. When the divisor is a number, the quotient is a quantity of the same kind as the dividend. 3°. The product of the divisor and quotient is equal to the dividend. 4°. Cancelling a factor of a quantity, divides the quantity by that factor. CASE I. 111. To Divide... | |
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As the product of the divisor and quotient is equal to the dividend, the quotient may be found, by resolving the dividend into two such factors, that one of them shall be the divisor. The other will, of course, be the quotient. Suppose abd is to be divided... 
