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" ... it follows, that in division the decimal places of the dividend must be equal to the number of places in the divisor and quotient taken together. Hence, the number of decimal places in the quotient must equal the excess of those in the dividend above... "
An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ... - Page 108
by George Roberts Perkins - 1851 - 347 pages
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...of the first product.. EXAMPLES, i. Divide 3424f6oj6 by 43*6. 2. Divide * The reason of pointing off as many decimal places in the quotient, as those in the dividend exceed those in the divisor, will 2. Divide 3.877875 by "675. Ans. 5745ooo3. Divide -9081892 by -347. Ans. '0236. 4. Divide 7-13...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - Arithmetic - 1812 - 260 pages
...decimals to point off in the quotient, observe the following rules. >„ , * The reason of pointing off as many decimal places in the quotient, as those in the dividend exceed those in the divisor, will easily appear ; for since the number of decimal places in the dividend is equal to those in the...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - Arithmetic - 1831 - 408 pages
...remainder, the quotient may be carried on farther, if necessary. Notc '2. — The reason of pointing off so many decimal places in the quotient as those in the dividend exceed those in the divisor, >will easily appear; for, since the quotient multiplied by the divisor gives the dividend, therefore...
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The United States Arithmetic: Designed for Academies and Schools

William Vogdes - Arithmetic - 1847 - 324 pages
...there is no remainder after dividing, then will the quotient be integers. 5. The reason of pointing off as many decimal places in the quotient as those in the dividend exceed the divisor, will easily appear ; for since the number of decimal places in the dividend is equal to...
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An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1849 - 346 pages
...must equal the excess of those in the dividend above those in the divisor. Divide 5.81224 by 5.432. Dividing 581224 by 5432 we find 107 for the quotient....figures of the quotient 107 must be decimals, so that 1.07 is the quotient sought. Hence t;:e following RULK. Divide as in whole numbers ; give as many decimal...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - Arithmetic - 1855 - 388 pages
...must equal the excess of those in the dividend above those in '.he divisor. Divide 5-81224 by 5432. Dividing 581224 by 5432 we find 107 for the quotient...Divide as in whole numbers ; give as many decimal placet in the quotient as those in the dividend exceed those in the divisor ; if there are not as many,...
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The American Philosophical Arithmetic: Designed for the Use of Advanced ...

John Fair Stoddard - Arithmetic - 1856 - 312 pages
...the divisor" and quotient are multiplied together to produce the dividend ; therefore, there must be as many decimal places in the quotient as those in the dividend exceed those in the divisor. The pupil should bear in mind that he can affix ciphers to the dividend without changing its value...
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An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - Arithmetic - 1869 - 358 pages
...must equal the excess of those in the dividend above those in the divisor. Divide 5-81224 by 5-432. Dividing 581224 by 5432 we find 107 for the quotient...that 1-07 is the quotient sought. Hence the following i RULE. Divide as in whole numbers ; give as many decimal placet in the quotient as those in the dividend...
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Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - Arithmetic - 1880 - 420 pages
...pointing 330 by Principle 2, we have .0375 • 330 Rule. — D,vide as in whole numbers, and point off as many decimal places in the quotient as those in the dividend exceed those in the divisor. NOTE. — When the division is not exact, annex ciphers to the dividend, and carry the work as far...
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Soule's Intermediate Philosophic Arithmetic, Embracing Oral and Written Problems

George Soulé - Arithmetic - 1888 - 568 pages
...the following general directions for dividing decimals: 1. Divide as in whole numbers and point off as many decimal places in the quotient as those in the dividend exceed those in the divisor. 2. When there is a remainder, annex naughts to {lie dividend and carry the irork as far as may he desired....
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