Quote Originally Posted by NeoTifa View Post
I was using finite numbers to show that they are not the same, that there are always infinately more 9's to add.
But being infinite means it isn't something you can parallel with finite numbers. 0.999... doesn't mean a lot of 9's and then you can add a few more to make a number between 0.999... and 1. It means that go on forever and there is no end, ever. At all. There is nowhere you can put another 9 on the end of because it has no end.

I know that 0.999... = 1 looks counterintuitive. I get that. The first time I saw it was scoffed at the obvious nonsense. But it is true despite the fact that it looks weird to the uninitiated.