Thread: .9999...=1
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Old November 25th, 2012, 10:28 PM   #9 (permalink)
jhawkkw
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Quote:
Originally Posted by Mikestony View Post
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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The Following 2 Users Say Thank You to jhawkkw For This Useful Post:
Mikestony (November 25th, 2012), ocnbrze (November 26th, 2012)