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What is the result of (123*(-10))mod 19

Question

What is the result of (123*(-10))mod 19

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Solution

The result of (123*(-10))mod 19 can be calculated as follows:

Step 1: Multiply 123 by -10 to get -1230.

Step 2: Find the modulus of -1230 and 19. The modulus is the remainder after division.

-1230 mod 19 = -4

However, in modular arithmetic, we usually want a positive result. We can get this by adding the modulus (19) to the result:

-4 + 19 = 15

So, (123*(-10))mod 19 = 15.

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