Did you know that 0.999999999999999=1?

I learned this not too long ago and it blew my mind.

http://en.wikipedia.org/wiki/0.999…

Here’s the mathematic proof:
• Let X = 0.999…
• Then 10X = 9.999…

Subtract X from each side to get
• 9X = 9.999… – X

but we know that X is 0.999…, so:
• 9X = 9.999… – 0.999…
or: • 9X = 9

Divide both sides by 9:
• X = 1

But hang on a moment I thought we said X was equal to 0.999… ?

Yes, it does, but from our calculations X is also equal to 1. So:
• X = 0.999… = 1

• Therefore 0.999… = 1

Funny thing is I usually hate math. This was pretty entertaining, though.