 A number is divisible by 11 if the difference between the sum of the digits in the even places and the sum of the digits in the odd places is either 0 or a multiple of 11.  A Grammar School Arithmetic - Page 96by George Albert Wentworth - 1890 - 330 pagesFull view - About this book
 | James Hamblin Smith - Algebra - 1870 - 478 pages
...1'75<8 4 62- remainder 3 4 4 16 -remainder 2 2-5«68 4 4- remainder 2 4 4 1- remainder 0 ret 28 (5) by 11 if the difference between the sum of the digits in the odd places and the sum of those in the even places be divisible by 11. 8. If N be a number in the scale... | |
 | Edward Olney - Arithmetic - 1876 - 316 pages
...which we may divide by any composite number by dividing by its factors in succession (ИЗ). 155. Any number is divisible by 11 if the difference between the sum of the digits in the odd places, counting from units, and the sum of those in the even places is 0, or is divisible by 11,... | |
 | George Albert Wentworth, Thomas Hill - Arithmetic - 1881 - 446 pages
...the number denoted by the last two digits is divisible by 25. 8. A number is divisible by 125 (58) if the number denoted by the last three digits is...in the odd places is either 0 or a multiple of 11. NOTE. The shortest method of dividing by 25 is to multiply by 4 and divide by 100 ; by 125, is to multiply... | |
 | George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 pages
...6. A number is divisible by 5 if its last digit is either 5 orO. 7. A number is divisible by 25 (52) if the number denoted by the last two digits is divisible...in the odd places is either 0 or a multiple of 11. NOTE. The shortest method of dividing by 25 is to multiply by 4 and divide by 100 ; by 125, is to multiply... | |
 | George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 pages
...the number denoted by the last two digits is divisible by 25. 8. A number is divisible by 125 (53) if the number denoted by the last three digits is...in the odd places is either 0 or a multiple of 11. NOTE. The shortest method of dividing by 25 is to multiply by 4 and divide by 100 ; by 125, is to multiply... | |
 | James Hamblin Smith - 1883 - 466 pages
...divisible by 4. 8 if the last three digits be divisible by 8 5 if the number ends with 5 or 0. (5) by 11 if the difference between the sum of the digits in the odd places and the sum of those in the even places be divisible by 11. 8. If N be a number in the scale... | |
 | George Albert Wentworth, Thomas Hill - Arithmetic - 1883 - 378 pages
...6. A number is divisible by 5 if its last digit is either 5 orO. 7. A number is divisible by 25 (52) if the number denoted by the last two digits is divisible...in the odd places is either 0 or a multiple of 11. NOTE. The shortest method of dividing by 25 is to multiply by 4 and divide by 100; by 125, is to multiply... | |
 | Leonard Marshall - Algebra - 1883 - 198 pages
...Therefore a number is divisible by 9 if the sum of its digits is divisible by 9. [See § 7 (i.).] (vi.) A number is divisible by 11 if the difference between the sum of its odd digits and the sum of its even digits is 0, or divisible by 11. (vii.) A number is divisible... | |
 | Nathan Newby - Arithmetic - 1884 - 206 pages
...that given for divisibility by 3. IX. A number is divisible by 10 if its units' figure is 0. Why ? X. A number is divisible by 11, if the difference between the sum of the numbers represented by the digits in the odd places and the sum of the numbers represented by the digits... | |
 | George Albert Wentworth - Arithmetic - 1885 - 302 pages
...is divisible by 6 if its last digit is even and the sum of its digits is divisible by 3. •/ *y J 10. A number is divisible by 11 if the difference...in the odd places is either 0 or a multiple of 11. NOTE. The shortest method of dividing by 25 is to multiply by 4 and divide by 100 ; by 125, is to multiply... | |
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