12-20-2003, 04:23 AM
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#14 (permalink)
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Insane
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Quote:
Originally posted by Giltwist
Pick any repeating decimal, for this example, lets use .2727272727...
First figure out the number of digits that repeat, in this case 27 is repeated over and over again, so that would be 2. Now, raise ten to teh number you just found, so you now have 100. Here is something neat, 100 times that original number gives you 27.2727272727... But look at the decimal portion of that number, its the number we started out with, so we subtract the original number, so we have 100 times the number minus the number, thats 99 times the number. So, dividing both sides by 99, our number is 27/99. Magical. With a little finagling, this works for any repeating decimal.
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That's one of the methods used to proove that .9.... (repeating) = 9/9 = 1 
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