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" A number is divisible by 9 if the sum of its digits is divisible by 9. "
Hamilton's Arithmetics - Page 45
by Samuel Hamilton - 1913
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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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Hamilton's Essentials of Arithmetic: First-second Book, Book 1

Samuel Hamilton - Arithmetic - 1919 - 380 pages
...sum of its digits, or figures, is divisible by 3. Thus, 216 is divisible by 3, since 2 + 1 + 6, or 9, is divisible by 3. A number is divisible by 9 if the sum of its digits is divisible by 9. Thus, 369 is divisible by 9, since 3 + 6 + 9, or 18, is divisible by 9. 6. Name the numbers to 63 that...
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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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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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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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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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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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Higher grades

Samuel Hamilton - Arithmetic - 1920 - 362 pages
...0. A number is divisible by 3 if ike sum of its digits (that is, of the figures) is divisible by S. A number is divisible by 9 if the sum of its digits is divisible by 9. Thus, 549 is divisible by 3 and by 9, since 5 + 4 + 9, or 18, is divisible by 3 and by 9. 5. Tell by...
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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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