 | Samuel Webber - Mathematics - 1808 - 466 pages
...9, which belongs to no other digit whatever, except 3, namely, that any number divided by 9 leaves the same remainder, as the sum of its figures or digits divided by 9 ; which may be thus demonstrated. DEM0N. Let there be any number, as 3467 ; this separated into its... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...the sum total 18304, is 16, the excess of which above 9 is also 7, the same as the former *. * This method of proof depends on a property of- the number...digit whatever ; namely, that " any number divided by Q, will leave the same remainder as the sum of its figures or digits divided by 9 :" which may be demonstrated... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...sum total 18304, is 16, the excess of which above 9 is also 7, the same as the former*. • • This method of proof depends on a property of the number...number divided by 9, will leave the same remainder asthe'sum of iis figures or digits divided by 9:" '.vhich may be demonstrated in this manner. liemmttratian... | |
 | 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,... | |
 | Samuel Webber - Arithmetic - 1812 - 260 pages
...9, which belongs to no other digit whatever, except 3, namely, that any number divided by 9 leaves the same remainder, as the sum of its figures or digits divided by 9 ; which may be thus demon* strated. DEM0N. Let there be any number, as 3467 ; this separated into its... | |
 | Samuel Webber - Arithmetic - 1812 - 246 pages
...which belongs to no other digit 婦 hatever , except 3, namely, that any number divided by 9 leaves'the same remainder, as the sum of its figures or digits divided by 9 ; which may be thus demon strated. DEMON. Let there be any number, as 3467; this separated into its... | |
 | Charles Hutton - Arithmetic - 1818 - 646 pages
...18304, ia 16, the excess ui' which above 9 is also 7, the same as the former.* OTHER EXAMPLES. * This method of proof depends on a property of the number...except the number 3, belongs to no other digit whatever j n .MI u , that " any number divided by 9, will leave the same remainder as ihe sum of its figures... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...alto 7, the same as the former*. OTHER EXAMPLES. 2. 12345 67890 98765 43210 12345 67890 * This nielhod of proof depends on a property of the number 9, which...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 be any number... | |
 | Beriah Stevens - Arithmetic - 1822 - 436 pages
...on a 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 separated into m several parts... | |
 | James Mitchell - Mathematics - 1823 - 666 pages
...must, 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... | |
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... 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. 
