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" Which of the following are divisible by 9 : 24,795 ? 681,453 ? 745,613 ? 24,738 ? 7. // the sum of the digits of a number is divisible by 3, the number is divisible by 3. "
Junior High School Mathematics Book 1-3 [and] 1 Book Course - Page 20
by Theodore Lindquist - 1920
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - Mathematics - 1806 - 526 pages
...: Euler however, has found the theorem 32 defective when x — 32, for 2 + 1 = 641 x 6700117815. If the sum of the digits of a number is divisible by 9, the number itself is also divisible by 9. Let a, b, c, d, be the digits of a number consisting of 4 figures...
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...when N is divided by 9, is the remainder when a + 5 + c + <Z+...is divided by 9. (445.) 1 Hence when the sum of the digits of a number is divisible by 9, so is the number itself.1 The same property belongs to the number 3. (446.) 1 The remainder, on dividing...
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First book of arithmetic for the use of schools. [With] Key. High-school ed ...

Ireland commissioners of nat. educ - 1865 - 184 pages
...When the three right-hand figures are divisible by 8 the whole number is divisible by 8. 6th. When the sum of the digits of a number is divisible by 9 the sum itself is divisible by 9 or 3. 7th. When the sum of the digits of a number is divisible by 3 the...
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Unitary Arithmetic: Embodying the First Book of Arithmetic of the Irish ...

Alexander Kennedy Isbister - 1882 - 190 pages
...When the three right.hand figures are divisible by 8 the whole number is divisible by 8. ,•т. When the sum of the digits of a number is divisible by 9 the mm itself is divisible by 9 or 8. 7th. When the sum of the digits of a number is divisible by 3 the...
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Arithmetic [elementary, Intermediate, Advanced].

Charles Ernest Chadsey - 1914 - 274 pages
...5. If the sum of the digits of a number is divisible by 3, the number itself is divisible by 3. If the sum of the digits of a number is divisible by 9, the number itself is divisible by 9. Tell which of these numbers are divisible by 2. — by 5. —by 3....
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Elementary Algebra

Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 520 pages
...four figures is divisible by 3 if the sum of its digits is divisible by 3. 42. Show similarly that if the sum of the digits of a number is divisible by 9, the number itself is divisible by 9. 43. Any number ending in 5 can be written as 10 a + 5, where a is...
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Junior High School Mathematics, Volume 1

Theodore Lindquist - Mathematics - 1920 - 260 pages
...is divisible by 8 because 296 is divisible by 8. Test the following for divisibility by 8: 24,168, 7,456, 90,816, 35,479. 4. All numbers ending in 5...following are divisible by 9 : 24,795 ? 681,453? 745,613? 24,738? 7. // the sum of the digits of a number is divisible by 3, the number is divisible by 3. Apply...
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Junior High School Mathematics, Volume 1

Theodore Lindquist - Mathematics - 1920 - 256 pages
...numbers ending in 5 or 0 are divisible by 5. 5. All numbers ending in 0 are divisible by 10. 6. 7/ the sum of the digits of a number is divisible by...following are divisible by 9: 24,795? 681,453? 745,613? 24,738? 7. 7/ the sum of the digits of a number is divisible by 3, the number is divisible by 3. Apply...
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Beginners' Algebra

Clarence Elmer Comstock, Mabel Sykes - Algebra - 1922 - 320 pages
...by 5. Why? If the sum of the digits of a number is divisible by 3, the number is divisible by 3. If the sum of the digits of a number is divisible by 9, the number is divisible by 9. 3. Factor 62, 115, 111, 171, 207, 57, 306, 855, 269, 441, 385, 495, 234,...
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Manual of the Public Examinations Board

University of Adelaide. Public Examinations Board - Examinations - 1928 - 1280 pages
...Simplify the expression : 1 2x . 1 .r2— 4«+3 .e2— 5x+6 Verify your result by putting z=4. (ii) If the sum of the digits of a number is divisible by 9, the number itself is divisible by 9. Show that the above rule is correct by considering a number whose...
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