 | Mathematics - 1836 - 366 pages
...the length of a French metre which is one ten-millionth part of a fourth of its circumference. 237. A number is divisible by 9, if the sum of its digits is divisible by 9 ; and by 1 1, if the sum of the 1st, 3rd, 5th .... digits is equal to the sum of the 2nd, 4th, 6th,... | |
 | James Stewart Eaton - Arithmetic - 1857 - 376 pages
...be seen that 5 -)- 6 -f- 4 -f- 3 is the sum of the digits which express the number 5G43 ; hence any number is divisible by 9 if the sum of its digits is divisible by 9. • If the sum of the digits of a number divided by 9 give a remainder, then the number itself divided... | |
 | Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...a power of 5, their sum, or the entire number, is divisible_by the same power of 5, (135, II). IX. A number is divisible by 9 if the sum of its digits is divisible by 9. For, if any number, as 7245, be separated into its parts, 7000 + 200 + 40+5, and each part be divided... | |
 | Samuel H. Winter - 1864 - 348 pages
...5 courses, having 55 shot in the bottom course. 11. Solve the equations i.ax ~,„ ~ 12. Prove that a number is divisible by 9, if the sum of its digits is divisible by 9. 13. Find the present value of £1 due 12 years hence, money bearing 4£ per cent. compound interest.... | |
 | George Augustus Walton - Arithmetic - 1864 - 376 pages
...be shown of any number. Thi> following principles are derived directly from Art 511 : — «512. Any number is divisible by 9, if the sum of its digits is divisible by 9. •5 1 Íí . If any number is divided by 9, the remainder is equal to the remainder when the sum of... | |
 | George Augustus Walton - Arithmetic - 1864 - 364 pages
...8, the divisibility of the given number by 8 must depend on the hundreds, tens, and units. (9.) Any number is divisible by 9 if the sum of its digits is •livisible by 9 * ; thus, 368451 is divisible by 9, and 23476 is not, (10.) Any number is divisible... | |
 | Howard Candler - 1868 - 132 pages
...work, but we had the further object in view of explaining the principle of the " chain rule." NOTE D. A number is divisible by 9, if the sum of its digits is divisible by 9. Take the numbers 45678. 45678 = 40000 4- 5000 + 600 + 70 + 8 = 4 (9999 + i) + 5 (999 + i) + 6 (99 +... | |
 | Adolf Sonnenschein - 1870 - 206 pages
...; .-. the whole is divisible by 9. Note that 27 = the sum of the digits in 153576. Learn by heart : A number is divisible by 9 if the sum of its digits* ù divisible by 9. (/) Seasoning analogous to that just given shews that any number is an exact number... | |
 | Adolf Sonnenschein - 1873 - 194 pages
...; .-. the whole is divisible by 9. Note that 27 = the sum of the digits in 153576. Learn by heart : A number is divisible by 9 if the sum of its digits* is divisible by 9. (/) Eeasoning analogous to that just given shews that any number is an exact number of nines + the... | |
 | Richard Rickard - 1873 - 364 pages
...number conv A number is divisible by 8 if the number composed of the last three digits be so divisible. A number is divisible by 9 if the sum of its digits, or the sum of the numbers formed by grouping the digits in pairs, be so divisible. A number is divisible... | |
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A number is divisible by 9 if the sum of its digits is divisible by 9. 
