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You are not logged in. #1 20070505 17:13:50
0.99...=1Hi, krollo here. #2 20070505 17:39:06
Re: 0.99...=1why does it not make sense? The Beginning Of All Things To End. The End Of All Things To Come. #4 20070522 04:11:48
Re: 0.99...=1In this same way, I suppose that 0.0000000000...001=0 if there are an infinite number of zeros before the 1, although anything with an infinite number is mostly theoretical (with the possible exception of pi). "Knowledge is directly proportional to the amount of equipment ruined." "This woman painted a picture of me; she was clearly a psychopath" #5 20070522 04:19:41#6 20070522 05:18:40
Re: 0.99...=1This thread's been around for a while now, so you can't really complain about its creation. Why did the vector cross the road? It wanted to be normal. #7 20070522 05:37:22
Re: 0.99...=1
Couldn't be further from the truth. First off, many rational numbers have an infinite decimal expansion... it's just that this decimal expansion repeats. But for irrationals, there are tons of constants known to be irrational, some which are believed to be, which are used every day for practical purposes. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #8 20070522 07:36:11
Re: 0.99...=10.0...01 would not have a 1 at the end (even though I just wrote it that way!), because we are saying "there is no end to the 0s". "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #9 20070522 10:55:46
Re: 0.99...=1whats the second decimal expansion of 0.3333.. ??? A logarithm is just a misspelled algorithm. #10 20070522 12:20:56
Re: 0.99...=1
Every terminating decimal has two decimal expansions. But how is this induced by the metric on the real numbers (absolute value)? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #11 20070522 18:19:12
Re: 0.99...=1
Absolute value of a number would be the metric of that number with zero, the metric d(1,0.9...) = 0 which follows pretty soon after the axioms. #12 20070523 00:33:56
Re: 0.99...=1That's just assuming that 1  0.999... = 0. We want to show this. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." 