The proof I've always seen associated with this involves fractions.

(1/3) = .3333...

3 x (1/3) = (3/3) = 1

3 x .3333... = .9999...

(3/3) = .9999....

Who the hell invented math anyways? I mean subtraction is the addition of negative numbers, division is multiplication of fractions, and all math can be done with just 1's and 0's.

CRAZY.