November 25th, 2012, 10:28 PM
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#9 (permalink)
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The Professor
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Quote:
Originally Posted by Mikestony
Tell me if I'm wrong here:
x=.22222222......
10x= 2.22222222......
10x-x=9x 2.22222222.....-.2222222222= 2
2=9x
divide each side by 9
2/9=x
x=.2222222222222
back to where we started
ah, I think I get it...
.99999999.....would be the only number equal to 1?  |
Correct, it is an odd situation that comes up in mathematics. There others out there too, but I will spare everyone the messy details because the proofs involve higher mathematics and aren't easy to type. This method shown above can be used to figure out the fraction for any repeating decimal. Pretty nifty I'd say.
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