| Jeremiah Joyce - Arithmetic - 1812 - 274 pages
...property of the number 9, which belongs also to the number 3, but to none of the other digits; viz. that **any number divided by 9, will leave the same remainder as the sum of** digits divided by 9: thus 8769 divided by 9, leaves 1 as a remainder; and so will 8 + 7+6+7* or 18,... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...property of the number 9, which except the number 3, belongs to no other digit whatever ; namely, that ** **any number divided by 9, will leave the same remainder as the sum of its** figures or digit: divided by 9 ;" which may bt demonstrated in this manner. Demonstration. Let there... | |
| Beriah Stevens - Arithmetic - 1822 - 434 pages
...property of the number 9, which, except the numbers, belongs to no other digit whatever ; viz. that **any number divided by 9 will leave the same remainder as the sum of its** figures or digits divided by 9 ; which is thus demonstrated : — Let the number 5432 be eiven : this... | |
| James Mitchell - Mathematics - 1823 - 670 pages
...when this proof answers, always be 9, or a multiple of 9. This proof depends upon this property, that **any number divided by 9, will leave the same remainder, as the sum of its digits when divided by** the same number. 3. Another proof is, the 1st, 3d, 5th, &c. being taken from the sum of the digits... | |
| Charles Hutton - Mathematics - 1825 - 608 pages
...number 9, which except the number 3, belongs to no other digit whatever; namely, that " any numl>er **divided by 9 will leave the same remainder as the sum of** it> figures or digits d ivided by 9 , which may be demonstrated in this manner. Demonstration Let there... | |
| Alexander Jamieson - Industrial arts - 1829 - 654 pages
...not, it is certainly wrong. This proof depends upon a singular property of the number 9; viz. that **any number divided by 9, will leave the same remainder, as the sum of its digits when divided by** the same number. 3. Another proof fur multiplication is drawn from a particular property of the number... | |
| Arithmetic - 1829 - 196 pages
...^JT 1142 4752 586393 * This method of proof depends upon a properly of the number 9, which is, that " **any number divided by 9, will leave the same remainder as the sum of its** di?its divided by 9." nius. Take the number 465. This separated into its parts, becomes 400 -f 60-f-... | |
| Charles Hutton - Mathematics - 1831 - 662 pages
...property of the number 9, which, except the number 3, belongs to no other digit whatever ; namely, that " **any number divided by 9, will leave the same remainder as the sum of its** figures are digits divided by 9:" which шву be demonstrated in this manner. Demonstration. Let there... | |
| Ira Wanzer - Arithmetic - 1831 - 408 pages
...property of the number 9, which, except the number 3, belongs to no other digit whatever; viz. that " **any number divided by 9, will leave the same remainder as the** svm of "its' figures divided by 9."— The rule may be dciriv •» D This method of proof is illustrated... | |
| Nicolas Pike - Arithmetic - 1832 - 540 pages
...property of the number 9, B 3 I which, except 3, belongs to no other digit whatever; viz. 5 2 > that **any number divided by 9, will leave the same remainder, as the sum of its** figures, or dibits, divided by 9: which °_ 51 ^ j; J may be thus demonstrated. Demonstration. Let... | |
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