0.9 repeating = 1?

[Ian Curtis]

Originally Posted by Andrew.Jensen

I actually figured out that same proof in the Wikipedia article earlier this school year before reading about it. But 0.99 repeating does equal one. There is enough proof, and even common sense, as 1-0.999... =0.000... which is just 0.

I'm no math major (though I did make the mistake of taking a proof based Linear Algebra class once, never doing that again! ), but I don't really see the proof. Wouldn't accepting that 0.000... is equal to zero hinge on accepting that 0.999... is equal to one? What am I missing?