Quote Originally Posted by Raistlin
Quote Originally Posted by Levian
Just because there's no number in between doesn't make it equal to it. >:/ Then .9[insert 9s here]8 would be equal to .9[insert 9s here]9 who's apparantly equal to 1. So in the long run 1 would be equal to 9. And that just ain't right, girlfriend.
There's so many things wrong with that, I don't know where to begin.

First off, not only does any two distinct real numbers have to have a number between them, any two distinct real numbers have to have an <i>infinite</i> amount of numbers between them. 1 and 2 have an infinite amount of numbers between them. There exists not even ONE real number between .99999... and 1.

Also, .99999...8 isn't a number. That's saying "an infinite number of nines that never ends, but when they do end, tack an 8 on the end." It doesn't work like that. 0.9999... means "a decimal followed by an <i>infinite number</i> of nines.
There's an 8 at the end of the infinite nines. Now that wasn't so hard, now was it?