Eff this, philly mike is an idi0t, ask zdunklee.

[zdunklee]

No it doesn't in a proof you have to get the next step from the previous, I am not multiplying 9*0.999... anywhere in the proof, I am subtracting 10x - x.

Subtract the line above that, and tell me what you get.

I am not stupid, i know how to subtract. but what does the part i highlighted in red mean. last time i checked when you put a letter next to a number it means times and you put the part 9x there so it means 9 times x which is what was said.

as far as the calculus thing, I don't feel like looking into it at the moment but what it looks like (from what i understand) is just more number shuffling to try to prove the point that still makes no sense from the original number shuffling you did with the statement of
x = 0.9999...
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1.

That isn't number shuffling, it's basic math from one line to the next...

All these lines are based on definitons of operations, just like the calculus example above is based on definitons of real numbers. Like I said before there are number systems when 0.999 =! 1, but the real numbers are not one of those systems. When doing these you generally have to have a great understanding of the definitions that these systems are based upon, if you don't you aren't going to understand why it is that way.