 | John Hind - Algebra - 1837 - 584 pages
...AB = (9p + a) (9q + ft) = 8lpq .+ 9qa + 9pft + aft = 9(9pq + qa + pft) + aft: therefore, AB and a/3, when divided by 9» leave the same remainder : that...when divided by 9, leaves the same remainder, as the product of the partial remainders leaves. Ex. If A = 27354 and B = 2687: then, it is easily found that... | |
 | John Hind - Arithmetic - 1840 - 252 pages
...retain the decimal points of the partial products in the same vertical line. 13. Any number whatever when divided by 9, leaves the same remainder as the sum of its digits, when rlivided by 9., leaves. 1000 100 10 2 = S x — 4 4 x — + 3 x — + 1 x Jr so that... | |
 | John Hind - 1856 - 346 pages
...so as to retain the decimal points of the partial products in the same vertical line. 13. Any number when divided by 9, leaves the same remainder as the sum of its digits, when divided by 9, leaves. __ + 4x _ +3x _ +lx _ 1000 , 100 , 10 2 \f so that the remainder... | |
 | Thomas Kimber - Mathematics - 1865 - 302 pages
...payment of £5025 16s. 8d. in London ? 2. Show why it follows from our system of notation, that a number when divided by 9 leaves the same remainder as the sum of its digits will leave when divided by 9. Write down all the numbers that can be composed of the four... | |
 | 1877 - 188 pages
...payment of £5025 16s. tid. in London ? 2. Show why it follows from our system of notation, that a number when divided by 9 leaves the same remainder as the sum of its digits will leave when divided by 9. Write down all the numbers that can be composed of the four... | |
 | London univ, exam. papers - 1878 - 164 pages
...payment of ^5025, r6s. 8d. in London ? 2. Show why it follows from our system of notation that a number when divided by 9 leaves the same remainder as the sum of its digits will leave when divided by 9. Write down all the numbers that can be composed of the four... | |
 | Education, Higher - 1883 - 536 pages
...they meet if they travel at the respective rates of 7 and 8 miles an hour ? 15. Prove that any number when divided by 9 leaves the same remainder as the sum of its digits when divided by 9 leaves. Show how this property of the number 9 can be used to test the... | |
 | Leonard Marshall - 1883 - 212 pages
...8 if its last 3 digits form a number divisible by 8. The proof is similar to (ii.) (v.) Any number, when divided by 9, leaves the same remainder as the sum of its digits when divided by 9. Therefore a number is divisible by 9 if the sum of its digits is divisible... | |
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Calcutta by the payment of £5025 16s. 8d. in London ? 2. Show why it follows from our system of notation, that a number when divided by 9 leaves the same remainder as the sum of its digits will leave when divided by 9. Write down all the numbers that... 