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You are not logged in. #1 20050522 04:21:20
0.9999....(recurring) = 1?i noticed this some time ago and wondered how long it had been on mathsisfun.com. #2 20050522 09:04:00
Re: 0.9999....(recurring) = 1?It has been on the site for some years now .... "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #3 20050522 19:02:58
Re: 0.9999....(recurring) = 1?I've done that with 0.27 recurring. It's quite a logical thought. Boy let me tell you what: I bet you didn't know it, but I'm a fiddle player too. And if you'd care to take a dare, I'll make a bet with you. #4 20050702 16:04:57
Re: 0.9999....(recurring) = 1?0.1111111111111.....(recurring) can be written as a fraction Character is who you are when no one is looking. #5 20050702 17:25:54
Re: 0.9999....(recurring) = 1?Neat and concise ... thanks ganesh. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #6 20050810 08:28:55
Re: 0.9999....(recurring) = 1?So, the limit of 0.999... =1 "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #7 20050810 14:20:35
Re: 0.9999....(recurring) = 1?I thought of it in a different way. I used the summation of a Geometric Progression and this is the result I got: Character is who you are when no one is looking. #8 20050810 19:08:42
Re: 0.9999....(recurring) = 1?Another simple way of doing it is to let x=0.9999999 #9 20050811 20:39:33
Re: 0.9999....(recurring) = 1?woah woah woah woah woah!!! slow down people! i'm thirteen! how the heck am i meant to have a clue bout what ur on about? can anyone explain SIMPLY? by the way my maths teacher says that if i like something on the scale of one to ten i can have 10.1!?!?!?! is that right? how? help!!!!!!!!!! #10 20050811 20:41:22
Re: 0.9999....(recurring) = 1?"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #11 20050811 21:40:22
Re: 0.9999....(recurring) = 1?Well, evil, your question simply got a lot of us interested! Once started, a topic takes on a life of its own ... "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #12 20050812 14:38:43
Re: 0.9999....(recurring) = 1?
0.(0)1 is 1/(10^ ∞) Character is who you are when no one is looking. #13 20050812 15:55:04
Re: 0.9999....(recurring) = 1?1/3 = 0.333... "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #14 20050812 18:47:58
Re: 0.9999....(recurring) = 1?In kylekatarn's proof that 0.999... ≠ 1, the one in the second picture of his big post, he says near the start that x=0.999... and that x=1. Doesn't that mean that he's using the asyetunprovenfact that 0.999... ≠ 1 in order to prove that 0.999... ≠ 1? If so, surely that's not allowed. Why did the vector cross the road? It wanted to be normal. #15 20050812 18:58:25
Re: 0.9999....(recurring) = 1?If kyle is right, I have a page to redo. Have a read of this. (I think this is the original page that "evil" found.) "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #16 20050812 18:59:54
Re: 0.9999....(recurring) = 1?no matter what, 0.99999999999... is really close to 1 #17 20050812 19:05:30
Re: 0.9999....(recurring) = 1?Looks OK to me. You're still assuming that 0.999... ≠ 1, but it's OK this time because you're doing a proof by contradiction. Why did the vector cross the road? It wanted to be normal. #18 20050812 19:33:59
Re: 0.9999....(recurring) = 1?[I fixed ganesh's accidental smiley by putting in spaces] "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #19 20050812 20:42:23
Re: 0.9999....(recurring) = 1?
If we are talking of infinite number of zeros after the decimal, before the 1, in b, Character is who you are when no one is looking. #20 20050813 00:23:36
Re: 0.9999....(recurring) = 1?The basic proof of x=0.999..., 10x=9.999..., 9x=9, x=1 relies on the amount after the decimal point for x and 10x being the same. Why did the vector cross the road? It wanted to be normal. #21 20050813 08:59:50
Re: 0.9999....(recurring) = 1?I tend to agree with you, kyle, the proof I have on the website has that niggly little thing that assumes that: Code:If x=0.999... , and 10x = 9.999... Then the fractional part of 9.999... is still the SAME 0.999... as x=0.999... So perhaps that is a flawed proof. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #22 20050813 21:03:18
Re: 0.9999....(recurring) = 1?actually this problem is only relevant to mathematics. #23 20050814 17:08:54
Re: 0.9999....(recurring) = 1?This proof will probably prove once and for all that 0.999..=1 #24 20050815 07:38:10
Re: 0.9999....(recurring) = 1?It comes down to "what does 0.999... mean" "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #25 20060923 07:19:04
Re: 0.9999....(recurring) = 1?Basic proof for those of you who are confused: 