 | John Hind - Algebra - 1837 - 584 pages
...subtracted, the remainder is always divisible by r — 1. In the common scale of notation, a number is always divisible by 9, when the sum of its digits is divisible by 9: and any number and the sum of its digits, when divided by 9, leave the same remainder. , 352. Coit. From... | |
 | George Roberts Perkins - Arithmetic - 1841 - 274 pages
...9 + 8+7 by 6 + 5+4 ? INTERESTING PROPERTIES OF NUMBERS. PROPOSITION I. 5, Every number will divide by 9, when the sum of its digits is divisible by 9. For, take any number as 78534; this number is, by the nature of decimal arithmetic, the same as 70000+8000... | |
 | George Roberts Perkins - Arithmetic - 1849 - 344 pages
...the product of 1 + 7 + 5 by 2 + 3 ? SINGULAR PROPERTY OF THE FIGURE 9. &. Every number will divide by 9, when the sum of its digits is divisible by 9. For, take any number, as 78534; this number is, by the nature of decimal arithmetic, the same as 70000+... | |
 | George Roberts Perkins - Arithmetic - 1850 - 356 pages
...2+3? • . Ans. 2+14 + 10+3 + 21 + 15. SINGULAR PROPERTY OF THE FIGURE 9. *5. Every number will divide by 9, when the sum of its digits is divisible by 9. For, take any number, as 78534 ; this number is, by the nature of decimal arithmetic, the same as 70000+... | |
 | Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...of the digit figures of any number be subtracted from it, the remainder will be a multiple of 9. 3. That a number is divisible by 9 when the sum of its digit figures is thus divisible. 4. That the remainder obtained by dividing the sum of the digit figures... | |
 | John Fair Stoddard - Arithmetic - 1856 - 312 pages
...3146232 seconds; how many weeks, days, &c. ?' CHAPTER IY. PECULIAR PROPERTY OF THE NUMBER 9. ART. 74. Any number is divisible by 9, when the sum of its digits is divisible by 9. Consequently, every number divided by 9, will give the same remainder as the sum of its digits divided... | |
 | Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...of the digit figures of any number be subtracted from it, the remainder will be a multiple of 9. 3. That a number is divisible by 9 when the sum of its digit figures is thus divisible. 4. That the remainder obtained by dividing the sum of the digit figures... | |
 | Isaac Todhunter - Algebra - 1858 - 530 pages
...is divisible by 3. For example, 111, 252, and 7851 are divisible by 3. 446. It appears from Art. 443 that a number is divisible by 9 when the sum of its digits is divisible by 9 ; and that when_ any number is divided by 9, the remainder is the same as if the sum of the digits of that... | |
 | Isaac Todhunter - 1860 - 620 pages
...is divisible by 3. For example, 111, 252, and 7851 are divisible by 3. 446. It appears from Art. 443 that a number is divisible by 9 when the sum of its digits is divisible by 9 j and that when any number is divided by 9, the remainder is the same as if the sum of the digits of... | |
 | Dana Pond Colburn - Arithmetic - 1860 - 388 pages
...the digit fgures of any number be. subtracted from it, the remainder will be a multiple of 9. . 3. That a number is divisible by 9 when the sum of its digit figures is thus divisible. 4. That the remainder obtained by dividing the sum of the digit figures... | |
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A number is divisible by 3 when the sum of its digits (figures) is divisible by 3 ; it is divisible by 9, when the sum of its digits is divisible by 9. 
