>>24
there aren't infiniteseimals in the reals, there are legitimite systems that have them, hyperreals or transreals or something, i've heard of them but never worked with them, I don't know, but it's not relevant to this.
anyway, anyone whos ever done real analysis can verify what 24 just said. most books that discuss the reals in depth or construct the reals will have a proof of every rational number having two representations. or more generally: that every real number has either one representation or it has two, one ending with repeated 0s and one ending with repeated 9s.