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" A number is divisible by 9 if the sum of its digits is divisible by 9. "
The Public School Arithmetic: Based on McLellan & Dewey's "Psychology of Number" - Page 346
by James Alexander McLellan, Albert Flintoft Ames - 1897 - 346 pages
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School Arithmetic for Grammar Grades

Samuel Hamilton - Arithmetic - 1907 - 422 pages
...each dividend is divisible by 9. Divide by 9, other numbers the sum of whose digits is divisible by 9. A number is divisible by 9, if the sum of. its digits is divisible by 9. 5. Select the numbers that are divisible by 2 ; by 3 ; by 5 ; by 9. 86 96 123 918 515 3672 94 72 321...
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Nelson's Encyclopaedia: Everybody's Book of Reference ...

Encyclopedias and dictionaries - 1907 - 890 pages
...by 4, the whole number is also, for hundreds are divisible by 4. It is not difficult to prove that a number is divisible by 9 if the sum of its digits is divisible by 9. On this result is based the method of proof called casting out the nine. Three, being a factor of 9,...
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Complete Arithmetic

Samuel Hamilton - Arithmetic - 1908 - 512 pages
...each dividend is divisible by 9. Divide by 9, other numbers the sum of whose digits is divisible by 9. A number is divisible by 9, if the sum of its digits is divisible by 9. 5. Select the numbers that are divisible by 2 ; by 3 ; by 5 ; by 9. 86 96 123 918 515 3672 94 72' 321...
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Grammar School Arithmetic

Bruce Mervellon Watson, Charles Edward White - Arithmetic - 1908 - 454 pages
...sum of its digits is divisible by 3; eg 24,762, since 2 + 4 + 7 + 6 + 2, or 21, is divisible by 3. e. By 9, if the sum of its digits is divisible by 9; eg 397,647, since 3 + 9+7+6 + 4+7, or 36, is divisible by 9. f. By 5, if the units' digit is 0 or 5;...
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Methods in Education

Thomas Jefferson McEvoy - Education - 1908 - 472 pages
...by 2 and by 3. By 8, if the number represented by the three digits at the right is divisible by 8. By 9, if the sum of its digits is divisible by 9. By 10, if it ends in 0. By 12, if it is divisible by 3 and by 4. For 7 and 11, actual division is the...
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The Appleton Arithmetics, Book 2

Jacob William Albert Young, Lambert Lincoln Jackson - Arithmetic - 1909 - 282 pages
...number divisible by 8. Thus, 56,816 is divisible by 8, because 816 is divisible by 8. 6. An integer is divisible by 9 if the sum of its digits is divisible by 9. Factors and Divisors 59. An integer divisible only by itself and one is called a prime number. Numbers...
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The Appleton Arithmetics, Book 3

Jacob William Albert Young, Lambert Lincoln Jackson - Arithmetic - 1909 - 292 pages
...by 2 and by 3. By 8, if the number represented by the three digits at the right is divisible by 8. By 9, if the sum of its digits is divisible by 9. By 10, if it ends in 0. By 12, if it is divisible by 3 and by 4. For 7 and 11, actual division is the...
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Arithmetic ...

George Wentworth, David Eugene Smith - Arithmetic - 1911 - 360 pages
...divisible by 3. Thus 72,111 is divisible by 3 because 7 + 2 + 1 + 1 + 1, or 12, is divisible by 3. A number is divisible by 9 if the sum of its digits is divisible by 9. Thus 42,111 is divisible by 9 because 4 + 2 + 1 + 1 + 1, or 9, is divisible by 9. In the same way we...
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The Pupils' Arithmetic, Book 4

James Charles Byrnes, Julia Richman, John Storm Roberts - Arithmetic - 1914 - 264 pages
...divisible by 2 and 3. By 8, if the number represented by the three digits at the right is divisible by 8. By 9, if the sum of its digits is divisible by 9. By 10, if it ends in 0. By 12, if it is divisible by 3 and by 4. EXERCISE 18. Factor : 1. 25, 32, 48,...
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The Pupils' Arithmetic, Book 4

James Charles Byrnes, Julia Richman, John Storm Roberts - Arithmetic - 1911 - 260 pages
...divisible by 2 and 3. By 8, if the number represented by the three digits at the right is divisible by 8. By 9, if the sum of its digits is divisible by 9. By 10, if it ends in 0. By 12, if it is divisible by 3 and by 4. EXERCISE 18. Factor: i. 25, 32, 48,...
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