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" A number is divisible by 9, when the sum of its digits is divisible by 9. "
American Comprehensive Arithmetic - Page 69
by Middlesex Alfred Bailey - 1897 - 320 pages
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The Elements of Algebra: Designed for the Use of Students in the University

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....
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

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...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

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+...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

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+...
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The science of arithmetic, by J. Cornwell and J.G. Fitch

James Cornwell - 1855 - 382 pages
...expressed by the sum of its digits multiplied by powers of 10. Prove also by general reasoning that a number is divisible by 9 when the sum of its digits is divisible by 9, and only then. Add together the fractions J , A, £, iJ, $$, and explain why they • и 2 must be...
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The American Philosophical Arithmetic: Designed for the Use of Advanced ...

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...
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Algebra

Isaac Todhunter - Algebra - 1858 - 528 pages
...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...
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The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1862 - 320 pages
...number is divisible by 2? By 8? 4! 6? 6? What is eaid of 7? What number is divisible by 8? (g) Any number is divisible by 9 when the sum of its digits is divisible by 9; thus, 7146 is divisible by 9 because the sum of its digits, 7 -f- 1 -4- 4 -4- 6 = 18, is divisible...
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The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

James Stewart Eaton - Arithmetic - 1864 - 322 pages
...5? 6? What is said of 11 What number is divisible by 8? DEFINITIONS AND GENERAL PRINCIPLES. (g) Any number is divisible by 9 when the sum of its digits is divisible by 9; thus, 7146 is divisible by 9 because the sum of its digits, 7 + 1 + 4 + 6 = 18, is divisible by 9....
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Arithmetic for the Use of Schools

George Heppel - 1864 - 234 pages
...explaining one important application of the property of the number 9 that has just been mentioned. A number is divisible by 9 when the sum of its digits is so divisible. From this it may be shown that any number when divided by 9, and the sum of its digits...
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