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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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Elementary School Mathematics by Grades: Intermediate principles. Fourth book

William Estabrook Chancellor - 1906 - 164 σελίδες
...4, for 44, 88, and 24 are divisible by 4. A number is divisible by 5 if its final digit is 5 or 0. A number is divisible by 9 if the sum of its digits is divisible by 9. 738 is divisible by 9, for 7 + 3 + 8 = 18, a number of which 9 is a factor. 117 is divisible by 9,...

Nelson's Encyclopaedia: Everybody's Book of Reference ...

1907 - 890 σελίδες
...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,...

School Arithmetic for Grammar Grades

Samuel Hamilton - 1907 - 422 σελίδες
...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...

Complete Arithmetic

Samuel Hamilton - 1908 - 512 σελίδες
...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...

Methods in Education

Thomas Jefferson McEvoy - 1908 - 472 σελίδες
...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...

Grammar School Arithmetic

Bruce Mervellon Watson, Charles Edward White - 1908 - 454 σελίδες
...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;...

The Appleton Arithmetics, Βιβλίο 2

Jacob William Albert Young, Lambert Lincoln Jackson - 1909 - 282 σελίδες
...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...

The Appleton Arithmetics, Βιβλίο 3

Jacob William Albert Young, Lambert Lincoln Jackson - 1909 - 292 σελίδες
...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...

Arithmetic ...

George Wentworth, David Eugene Smith - 1911 - 360 σελίδες
...sum of its digits is 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...

The Pupils' Arithmetic, Βιβλίο 4

James Charles Byrnes, Julia Richman, John Storm Roberts - 1914 - 264 σελίδες
...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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