y0y0y0y0shi0 Wrote:I look at it this way:
0.999... = (1 - 0.000....1) ,<~ You went wrong right here. The number on the left goes on infinitely. The number on the right does not, you stopped it.
2 * 0.999... = 2 - 0.000.....2
Yes?
In between 2 and (2 - 0.000....2) is the number 1.999....
2 * 1 = 2
2 =/= (2-0.000...2)
Divide both sides by zero with the division property of equality and you get:
1 =/= (1 - 0.000...1)
if .99999......... =/= 1 then you MUST be able to find a non zero number C such that 1-C = .99999......
There is NO such C.
Edited because I only included the bolded part. Added in the above.

