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" A number is divisible by 3 if the sum of its digits is divisible by 3. "
High School Question Book - Σελίδα 200
των W. H. F. Henry - 1899 - 421 σελίδες
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The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt.d Pt.1

Adolf Sonnenschein - 1873 - 194 σελίδες
...derived from the Latin digitut, a finger, the fingers being the natural counters. Learn by heart : A number is divisible by 3 if the sum of its digits is divisible by 3. NOTE. Every number divisible by 9 is divisible by 3 ; bat not every number divisible...

A Complete Arithmetic, Oral and Written

Malcolm MacVicar - 1876 - 412 σελίδες
...the sum of the digits is divisible by 9, the number 486 is divisible by 9 (Prop. II). PROP. XI. — Any number is divisible by 3, if the sum of its digits is divisible by 3. This proposition is shown in the same manner as Prop. X ; as 3 divides 10, 100, 1000,...

The Science of Arithmetic: For High Schools, Normal Schools, Preparatory ...

Edward Olney - 1876 - 324 σελίδες
...number represented by them ij divisible by 8, and not otherwise. 152. Any number is divisible by 9 if the sum of its digits is so divisible, and not otherwise. For demonstration see (134). Let the student adapt that demonstration to this statement. 153. Any number...

A Complete Arithmetic: Oral and Written ; Part First-second, Τόμος 2

Malcolm MacVicar - 1878 - 266 σελίδες
...the sum of the digits is divisible by 9, the number 486 is divisible by 9 (Prop. II). PROP. XI.—Any number is divisible by 3, if the sum of its digits is divisible by 3. This proposition is shown in the same manner as Prop. X ; as 3 divides 10, 100, 1000,...

The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver, George Augustus Walton - 1878 - 370 σελίδες
...above, the first part is divisible by 3. The other part is equal to the sum of its digits. Hence a number is divisible by 3 if the sum of its digits is divisible by 3. 14. The Greatest Common Factor of Numbers (Art. 175). The method of finding the gcf...

A Practical Arithmetic

George Albert Wentworth, Thomas Hill - 1881 - 446 σελίδες
...number is divisible by 8 (2s) if the number denoted by the last three digits is divisible by 8. 4. A number is divisible by 3 if the sum of its digits is divisible by 3. 5. A number is divisible by 9 (32) if the sum of its digits is divisible by 9. 6. A...

A Practical Arithmetic

George Albert Wentworth, Thomas Hill - 1882 - 376 σελίδες
...number is divisible by 8 (2s) if the number denoted by the last three digits is divisible by 8. 4. A number is divisible by 3 if the sum of its digits is divisible by 3. 5. A number is divisible by 9 (32) if the sum of its digits is divisible by 9. 6. A...

A New Complete Arithmetic: Uniting Oral and Written Exercises

Emerson Elbridge White - 1883 - 368 σελίδες
...2 if its last digit is even. 2. A number is divisible by 5 if its last digit is cither 5 or 0. 3. A number is divisible by 3 if the sum of its digits is divisible by 3. 4. If any prime number be divided by 6, the remainder will be either 1 or 5. NOTE....

Companion to Algebra: With Numerous Examples

Leonard Marshall - 1883 - 198 σελίδες
...leaves the same remainder as the sum of its digits when divided by 3. For .. ...+p1 +Po 3 Therefore a number is divisible by 3 if the sum of its digits is divisible by 3. (ii.) A number is divisible by 4 if its last two digits form a number which is divisible...

A Grammar Shcool Arithmetic

George Albert Wentworth - 1886 - 392 σελίδες
...number is divisible by 8 (23) if the number denoted by the last three digits is divisible by 8. 4. A number is divisible by 3 if the sum of its digits is divisible by 3. 5. A number is divisible by 9 (32) if the sum of its digits is divisible by 9. 6. A...




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