9 Modulo 10

9 Modulo 10. Therefore 24 and 34 are congruent modulo 10. Given two numbers, a (the dividend) and n (the divisor), a modulo n (abbreviated as a mod n) is the remainder from the division of a by n.

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( a + b) % c = ( ( a % c ) + ( b % c ) ) % c. Modulo 10^9+7 (1000000007) in most of the programming competitions, problems are required to answer the result in 10^9+7 modulo. The remainder of the division is subtracted from 10.

In fact, any prime number less than 2^30 will be fine in order to prevent possible overflows.

Here is the math to illustrate how to get 1 mod 10 using our modulo method: In fact, any prime number less than 2^30 will be fine in order to prevent possible overflows. Using the same , , , and as above, we would have: 10^9 + 7 fits both criteria;

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Start studying module 9 and 10.

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It is based on modular arithmetic modulo 9, and specifically on the crucial property that 10 ≡ 1 (mod 9).

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If i say a modulo b is c, it means that the remainder when a is divided by b is c.

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Sometimes, we are only interested in what the remainder is when we divide by.

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An example of modulo with floating point numbers.

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First need to divide the dividend by the divisor:

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A few distributive properties of modulo are as follows:

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If i say a modulo b is c, it means that the remainder when a is divided by b is c.

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The modulo operation is the same as ' the remainder of the division '.