Question

Work each modular arithmetic problem.

1. (82-45) (mod 3)

2. [(10+7) * (5+3)] (mod 10)

Answer 1

modular arithmetic represents the calculation of an integer division and the result is the remainder.
For example, \(2^3~ (mod~3)\) equals remainder of 2^3=8 divided by 3 which gives a remainder of 2. So \(2^3~ (mod~3)=2\)
Another example: 25 (mod 4) : we calculate 25/4 gives a remainder of 1, so 25 mod(4) = 1.

Answer 2

Thanks. This was really helpful.

Answer 3

You're welcome! :)