Remainders

Question 1

You can multiply remainders, but must correct for excess

Answer 1

12/5 = 2 +2/5
13/5 = 2 + 3/5
17/5 = 3 +2/5
2*3*2 = 12
but you can fit two 5's into 12, so remove those, and true remainder is 2

Question 2

You can add or subtract remainders, but must correct for excess

Answer 2

and remember to keep order

Question 3

3 facts about remainders?

Answer 3

Remainder must be non-negative, must be integer, must be less than divisor. So if divisor is 7, remainder could be 0, 1, 2, 3, 4, 5, 6 only