[MacDorcha]

If you used a base 12 math system, 5 would STILL go in to 10 twice.

The functions of math don't change with your method of keeping track.

I thought about what you said as well.

[AmishDude]

Think of performing arithmetic, but when you give the final answer, give the remainder upon division by 8.

1*1=1

3*3=1

5*5=1

7*7=1

Furthermore, if you multiply any two of {1,3,5,7}, you get something in that set. But with this kind of arithmetic, 1 has four square roots.