Question

Simplify the following in the modulo givena) 8 (mod 3)b) 51 (mod 9)c) -68 (mod 7)

Answer 1

1) To solve that we need to perform long divisions. That way:

Note that we're dealing in the Z set, so we can stop the division right there, and tell the answer is given by the remainder.

b) 51 (mod 9)

So, 51 (mod 9) is 6

c) -68 (mod 7)