## martes, 21 de agosto de 2012

### M2C2A: Episode 5, Proving Wikipedia wrong

[This proof is actually held by vihart and shared by me, and Wikipedia does have an article about 0.999... being equal to 1]
ViHart–9.999… reasons that .999…=1
As Wikipedia states, if:
1/9 = 0.111...
1/9x9 = 0.111...x9
1=0.999...

Also, Wikipedia states that another proof (on their side) is:
x=0.999...
10x=9.999...
10x-x=9.999...-0.999...
9x=9
x=1
- So is 0.999... equal to 1?
- If it has infinite decimal places it must be!
- WRONG!!!
But this can be easily busted, remember on episode 2, I stated that numbers as 9 contradict (1/y)xy=1?
If 1/9*9=1, even if the calculator states that as 1, infinite digits aren't going to get anywhere. Does 1/2+1/4+1/8.. get anywhere?
NO!
So we just proved Wikipedia wrong, and another million people more.
ViHart–Why Every Proof that .999… = 1 is Wrong.
If you don´t know ViHart I really recommend you her Math videos, they are really interesting. You´ll have fun.
- The Roaring Thunder