Prime 15 Posted November 2, 2008 Report Share Posted November 2, 2008 Prove that infinite decimal fraction 0.999999... is exactly (not approximately) equal to 1. Short and simple proof is preferred. Quote Link to post Share on other sites

0 Guest Posted November 2, 2008 Report Share Posted November 2, 2008 this is a stupid math joke that bothers me greatly but... 1/3 = 0.333333~ 0.33333~*3 = 0.99999~ 1/3*3 = 3/3 = 1 therefore 1 = 0.9999 it is merely a rounding error that just about every mathematician is aware of and any GOOD mathematician will not encounter because you should never solve a fraction unless you require a decimal final answer (such as currency) or to square root. Quote Link to post Share on other sites

0 rookie1ja 13 Posted November 2, 2008 Report Share Posted November 2, 2008 already posted Quote Link to post Share on other sites

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## Prime 15

Prove that infinite decimal fraction 0.999999... is exactly (not approximately) equal to 1.

Short and simple proof is preferred.

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