 | James Alexander McLellan, John Dewey - Arithmetic - 1895 - 336 pages
...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... | |
 | Middlesex Alfred Bailey - Arithmetic - 1897 - 332 pages
...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 pages
...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)... | |
 | Book-keeping and business man's magazine - 1904 - 190 pages
...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)... | |
 | Book-keeping and business man's magazine - 1904 - 182 pages
...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 - Business & Economics - 1920 - 256 pages
...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 - Mathematics - 1920 - 258 pages
...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... | |
 | Vincent Foster Hopper - Body, Mind & Spirit - 2000 - 276 pages
...j; PL 111, 491. 143. It is on the unique behavior of this integer that the "rule of nines" depends. "A number divided by 9 will leave the same remainder...thus explained: Let two numbers be represented by ?a + b and 90 + d and their product by P; then P = 8 1 ac + 9 be + 92d 4 bd Hence P/9 has the same... | |
 | Education - 1901 - 562 pages
...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. 
