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" Any number is divisible by 9, when the sum of its digits is divisible by 9; "
Pounds, shillings and pence; or, A series of money calculations on a novel ... - Page xiii
by T. Martin - 1842
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Companion to Tate's 'First principles of arithmetic', a treatise on the ...

Thomas Tate (mathematical master.) - 1863 - 152 pages
...7 added to or subtracted from any of these periods will produce a number also divisible by 7. 92. A number is divisible by 9, when the sum of its digits is so; thus 378 is divisible by 9, where the sum of the digits is 18 or 2 X 9. Moreover, dividing any...
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An arithmetic for the use of schools. With an appendix

Joseph Froysell - 1864 - 220 pages
...numbers. 8. Show that a number will be divisible by 8 when its three last digits are divisible by 8, and by 9 when the sum of its digits is divisible by 9. 9. How would you prove the correctness of a sum (1) in multiplication, (2) in division, by ' casting...
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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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The Common School Arithmetic ...

James Stewart Eaton - Arithmetic - 1868 - 356 pages
...What number is divisible by 2? By 8? 4? 6? 6? What is said of 11 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 -f 6 — 18, is divisible...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...prime number ? Find all the prime divisors of 25740, and show from the decimal system of notation, that any number is divisible by 9 when the sum of its digits is so divisible. 3. Find the simple interest for 3 years on £4564 16s., at 4£ per cent.; and calculate...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 580 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 of...
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Examination papers in arithmetic

Barnard Smith - Arithmetic - 1866 - 156 pages
...of the first ship in carpenters' wages was £6000. What was that of the second? XC. 1. Shew that a number is divisible by 9, when the sum of its digits is divisible by 9. Multiply ninety-five millions six thousand and nineteen by 555 in two lines, and prove the correctness...
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The Common School Arithmetic: Combining Analysis and Synthesis : Adapted to ...

James Stewart Eaton - Arithmetic - 1869 - 324 pages
...What number is divisible by 2? By 8? 4? 6? 6f What is said of Vt Wbat 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 + 1 + 4+6 — 18, is divisible by 9....
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1870 - 626 pages
...Again, suppose r = 10 and N= 615372. Here 2-7 + 3-5 + 1-6=-12=-^; 446. It appears from Art. 444 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...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - 1874 - 352 pages
...prime number ? Find all the prime divisors of 25740, and show from the decimal system of notation, that any number is divisible by 9 when the sum of its digits is so divisible. 3. Find the simple interest for 3 years on £4564 15s., at 4-J per cent.; and calculate...
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