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" A number is divisible by 9 if the sum of its digits is divisible by 9. "
Hamilton's Essentials of Arithmetic: First-second Book - Page 263
by Samuel Hamilton - 1919
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Hopkins and Underwood's Arithmetic, Book 2

John William Hopkins - Arithmetic - 1918 - 392 pages
...in 1336, by trial we find 336 contains 8, and so we know that 1336 contains 8. A number is exactly divisible by 9 if the sum of its digits is divisible by 9. A number is exactly divisible by 11 if the difference between the sum of its digits in the even places...
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Applied Arithmetic: The Three Essentials, Book 3

Nels Johann Lennes, Frances Jenkins - Arithmetic - 1920 - 568 pages
...if the sum of the digits is divisible by 3. Thus, 574,851 is divisible by 3 because 5+7+4+8+5+1=30 is divisible by 3. A number is divisible by 9 if the sum of its digits is divisible by 9. A number is divisible by 6 if it is divisible by both 2 and 3. A number is divisible by 5 if its last...
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Arithmetic, Parts 5-6

Eugene Herz, Mary G. Brants - Arithmetic - 1920 - 304 pages
...digits is divisible by 8. A number is divisible by 6 if it is an even number and the sum of its digits is divisible by 3. A number is divisible by 9 if the sum of its digits is 9, or if the sum of the digits in the sum is 9: thus, 1,989 is divisible by 9 because 1 +9+8 + 9 =...
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Modern Junior Mathematics, Book 1

Marie Gugle - Mathematics - 1920 - 240 pages
...145,824 267,804 125,992 2,069,872 50,600 67,000 105,000 22,000 123,456 93,400 125,998 1,234,560 (h) (1) A number is divisible by 9 if the sum of its digits is divisible by 9. (2) Why does this divisibility test resemble the test for 3? (3) Which of the following numbers are...
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The New Stone-Millis Arithmetics

John Charles Stone, James Franklin Millis - Arithmetic - 1920 - 344 pages
...if it ends in 5 or 0. IV. A number is divisible by 3 if the sum of its digits is divisible by 3. V. A number is divisible by 9 if the sum of its digits is divisible by 9. Cancellation 1. If a farmer raises 1050 bu. of corn on a 15-A. field, how many bushels should he raise...
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Efficiency Arithmetic: Intermediate, Book 2

Charles Ernest Chadsey, James Hamblin Smith - Arithmetic - 1920 - 328 pages
...3. 6. A number is divisible by 8 if the number formed by the last three digits is divisible by 8. 7. A number is divisible by 9 if the sum of its digits is divisible by 9. Exercise 9. "Buzz" — A Division Drill This game is played as follows: Form in a line. Count very...
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Applied Mathematics for Junior High Schools and High Schools

Eugene Henry Barker - Mathematics - 1920 - 264 pages
...number is divisible by 8 if the number represented by the right-hand three digits is divisible by 8. 7. A number is divisible by 9 if the sum of its digits is divisible by 9. 8. A number is divisible by 10 if it ends with a 0. 9. A number is divisible by 12 if it is divisible...
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School Arithmetics: Book One-three

George Albert Wentworth, David Eugene Smith - Arithmetic - 1920 - 332 pages
...figures is so divisible. This tells us at a glance that 175,640 is divisible by 8. Divisibility by 9. A number is divisible by 9 if the sum of its digits is so divisible. For example, in the number 70,812 we see that 7+0 + 8 + 1+2, or 18, is divisible by 9,...
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Junior High School Mathematics, Volume 3, Part 1

Edson Homer Taylor - Mathematics - 1922 - 180 pages
...represented by the last three digits is divisible by 8. A number is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 9 if the sum of its digits is divisible by 9. Exercise 7 1. The number of births in a town per month is b and the number of deaths is d. Write a...
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Practical Business Arithmetic

Helen J. Kiggen - Business mathematics - 1922 - 424 pages
...is divisible by 3. By 8, if the number represented by the three right hand digits is divisible by 8. By 9, if the sum of its digits is divisible by 9. By 10, if its right hand figure is zero. By 12, if it is divisible by 3 and 4. 43. Factoring. Name...
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