 | James Alexander McLellan, John Dewey - 1895 - 336 σελίδες
...divided by 9, because 24-7-9 leaves 6 remainder. The principle is : any number divided by 9 leaves the same remainder as the sum of its digits divided by 9. To cast the nines out of any number, therefore, is to find the remainder in dividing the number by... | |
 | James Alexander McLellan, John Dewey - 1895 - 348 σελίδες
...divided by 9, because 24 -r- 9 leaves 6 remainder. The principle is : any number divided by 9 leaves the same remainder as the sum of its digits divided by 9. To cast the nines out of any number, therefore, is to find the remainder in dividing the number by... | |
 | Middlesex Alfred Bailey - 1897 - 332 σελίδες
...when 3000 is divided by 9 the remainder is 3 ; etc. See Ex. 170. 172. If a number divided by 9 gives the same remainder as the sum of its digits divided by 9, what is the rule for the divisibility of a number by 9 ? 173. Show that 1 with any odd number of ciphers... | |
 | Edith Wharton - 1901 - 390 σελίδες
...sum of the digits above a certain numbeI of 9,s. Proposition. — Any number divided by 9 will leav the same remainder as the sum of its digits divided by 9. To illustrate this we will take the number 36745. 36746= 30000=3(10000) = 6000=6( 1000) = 700=7( 100)... | |
 | 1904 - 190 σελίδες
...above 9; 2 and 4 are 6; 6 is the sum of the digits above a certain numbet of 9's. Proposition. — Any number divided by 9 will leave the same remainder as the sum of its digits divided by 9. To illustrate this we will take the number 36745. 36745= 3C000=3C10(100) = 6000=6( 1000) = 700=7( 100)... | |
 | 1904 - 182 σελίδες
...sum of the digits above a certain numbei of p's. Proposition. — Any number divided by 9 will leav the same remainder as the sum of its digits divided by 9, To illustrate this we will take the number 36745. 36746= 30000=3(10000) = 6000=6( 1000) = 700=7( 100)... | |
 | Theodore Lindquist - 1920 - 256 σελίδες
...on page 17. 10. Excesses of 9's. — It is shown by literal numbers that a number divided by 9 gives the same remainder as the sum of its digits divided by 9. Try this with 4539. The remainder found by dividing a number by 9 is called the excess of 9's of the... | |
 | Theodore Lindquist - 1920 - 258 σελίδες
...on page 17. 10. Excesses of 9's. — It is shown by literal numbers that a number divided by 9 gives the same remainder as the sum of its digits divided by 9. Try this with 4539. The remainder found by dividing a number by 9 is called the excess of 9's of the... | |
 | 1901 - 562 σελίδες
...above 9 ; 2 and 4 are 6 ; 6 is the sum of the digits above a certain number of 9's. Proposition. — Any number divided by 9 will leave the same remainder as the sum of its digits divided by 9. To illustrate this we will take the number 36745. f 30000=3(10000)--^ | 6000 =6( 1000).-= 700 = 7(... | |
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... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9. 
