Perform the modular arithmetic 7mod35mod8-32mod5

Determine 7 mod 35

Modulus statements are in the form c ≡ a mod b where:

The modulus (c) is the remainder (left over) piece after a is divided by b

In this case, a = 7 and b = 35

35 goes into 7 a total of 0 times

35 x 0 = 0

The remainder (left over) piece is 7 - 0 = 7

Therefore, 7 mod 35 ≡

Determine -32 mod 5

Modulus statements are in the form c ≡ a mod b where:

The modulus (c) is the remainder (left over) piece after a is divided by b

In this case, a = -32 and b = 5

5 goes into -32 a total of -7 times

5 x -7 = -35

The remainder (left over) piece is -32 - -35 = 3

Therefore, -32 mod 5 ≡

7 + 3 =