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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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Numbers, and how to Use Them: by the Natural Method: A Complete, Practical ...

John Fenner Brown - Arithmetic - 1892 - 184 pages
...there are 555 + 88 + 2 of them), and the sum of its digits (in this case, 5 + 8 + 2 + 3 = 18). Hence, A. number is divisible by 9 if the sum of its digits is divisible byd. 5823 is divisible by 9, the sum of its digits being 18, a number divisible by 9. 3746 is not divisible...
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Dubbs' Complete Mental Arithmetic: A Volume of Carefully Graded Exercises to ...

Eugene L. Dubbs - Arithmetic - 1893 - 244 pages
...its last 3 digits is divisible by 8. Thus, 4112 is divisible by 8, because 112 is divisible by 8. Any number is divisible by 9 if the sum of its digits is divisible by 9. Thus, 2574 is divisible by 9, because 2 jf- 5 jf 7 -f- 4, or 18, is divisible by 9. LESSON II. Find the GCD...
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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 382 pages
...an even number, and the sum of its digits is divisible by 3. This follows from I and VI. VIII. Any number is divisible by 9 if the sum of its digits is divisible by 9. Thus, 864 is divisible by 9, because fhe sum of its digits, 18, is divisible by 9. IX. Any number is divisible...
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New Franklin Arithmetic, Book 2

Edwin Pliny Seaver - Arithmetic - 1895 - 450 pages
...hundreds, tens, and units together are divisible by 8. Thus, 6728 is divisible by 8, while 6724 is not. 7. A number is divisible by 9 if the sum of its digits is divisible by 9. 8. A number is divisible by 11 if the sums of its alternate digits are equal, or if their difference...
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A Complete Arithmetic: With Oral and Written Exercises

George Washington Hull - Arithmetic - 1895 - 404 pages
...if it is divisible by 2 and 3. By 8 if the number formed by its last three digits is divisible by 8. By 9 if the sum of its digits is divisible by 9. By 10 if the right-hand figure is 0. 13-21. Tell by inspection which of the following numbers are exactly...
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The Public School Arithmetic: Based on McLellan & Dewey's "Psychology of Number"

James Alexander McLellan, Albert Flintoft Ames - Arithmetic - 1897 - 368 pages
...overtakes A in 4 hr. Walking on, B arrives at Q 2 hr. before A. Find the distance from P to Q. 243. A number is divisible by 9 if the sum of its digits is divisible by 9. Why ? 244. At what two times between 3 and 4 o'clock are the hands of a watch equally distant from...
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The Public School Arithmetic: Based on McLellan & Dewey's "Psychology of Number"

James Alexander McLellan, Albert Flintoft Ames - Arithmetic - 1897 - 368 pages
...overtakes A in 4 hr. Walking on, B arrives at Q 2 hr. before A. Find the distance from P to Q. 243. A number is divisible by 9 if the sum of its digits is divisible by 9. Why? 244. At what two times between 3 and 4 o'clock are the hands of a watch equally distant from the...
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Graded Lessons in Arithmetic: Book VI

Wilbur Fisk Nichols - Arithmetic - 1898 - 152 pages
...is 5 or 0. By 6, if it is divisible by 2 and 3. By 8, if the last three figures are divisible by 8. By 9, if the sum of its digits is divisible by 9. 13. Find the prime factors of 210. What prime number will divide 210? Divide by 2. What 2 ) 210 is...
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High School Question Book

W. H. F. Henry - Questions and answers - 1899 - 440 pages
...divisible by 8, and not otherwise. (Demonstration similar to 108.) 113. W hen divisible by 9 f Any number is divisible by 9 if the sum of its digits is so divisible, and not otherwise. (For Demonstration, see Answer to Question 99, page 198.) 114. When...
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Graded Lessons in Arithmatic, Book 5

Wilbur Fisk Nichols - Arithmetic - 1899 - 174 pages
...is 5 or 0. By 6, if it is divisible by 2 and 3. By 8, if the last three figures are divisible by 8. By 9, if the sum of its digits is divisible by 9. 13. Find the prime factors of 210. What prime number will divide 210 ? Divide by 2. What 2 ) 210 i8...
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