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" A number is divisible by 9 if the sum of its digits is divisible by 9. "
Hamilton's Arithmetics - Σελίδα 45
των Samuel Hamilton - 1913
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 335 σελίδες
...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,...

A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - 1857 - 355 σελίδες
...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...

The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - 1860 - 432 σελίδες
...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...

Mathematical Exercises ...

Samuel H. Winter - 1864
...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....

A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - 1864 - 348 σελίδες
...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...

A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - 1864 - 348 σελίδες
...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...

Help to Arithmetic ...

Howard Candler - 1868
...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 +...

The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt.d Pt.1

Adolf Sonnenschein - 1870
...; .-. 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...

The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt.d Pt.1

Adolf Sonnenschein - 1873
...; .-. 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...

An elementary course of arithmetic. (With Key).

Richard Rickard - 1873
...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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