In this section, we will study the operation of addition, subtraction and multiplication of numbers on a given modulo.

The sum of two or more numbers in a given modulo is found by first adding the numbers before converting to the given modulo. That is, if a ≡ b (mod m) and c ≡ d (mod m), then a + c = b + d (mod m).

The difference of two numbers in a given modulo is found by first subtracting the numbers before converting to the given modulo. That is, if a ≡ b (mod m) and c ≡ d (mod m), then a - c = b - d (mod m).

The product of two or more numbers in a given modulo is found by first multiplying the numbers before converting to the given modulo. That is, if a ≡ b (mod m) and c ≡ d (mod m), then a × c = b × d (mod m).