====== Talk:Proofs:One equals almost one ======

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===== Interesting Logic Indeed =====

Hey this is pretty cool.  You said "the proof plays out differently for other common repeating decimals" but I guess it depends on what you mean by "differently."  If you mean it doesn't equal 1, then yes, it's different.  When you subtract 0.9999... from 10 * 0.9999... , you are essentially adding one more decimal point (*10) to the first term in the difference.  Or, if you'd rather consider it:  you're always one iteration ahead, just enough to evaluate the limit.

But this is why it's really the same for other repeating decimals like <m>1/3</m> :\\
0.999... approaches 1, which is the answer you get\\
0.333... approaches <m>1/3</m> which is the answer you get.

P.S. I like your monobook theme, that's why I'm here.  Nice site too.