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You are not logged in. #126 20061128 03:30:46
Re: 0.9999....(recurring) = 1?Anthony, your concept of decimal expansion is way off. It has nothing to do with "making something bigger". 0.999... is not smaller than 1. Real numbers are static, they don't grow or change. "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..." #127 20061128 03:48:47
Re: 0.9999....(recurring) = 1?to be honest, i think the proof: is good enough without going into all this other math thats been mentioned. Last edited by lucadeltodesco (20061128 03:49:13) The Beginning Of All Things To End. The End Of All Things To Come. #128 20061129 01:07:54
Re: 0.9999....(recurring) = 1?To lucadeltodesco #129 20061129 02:38:24
Re: 0.9999....(recurring) = 1?
is not infinity, nor is it an infinate number.
put it this way means in laymans terms, a 0. followed by an infinite number of 9's, so if you multiply this number by 10, you shift the decimal point one place to the right, and you get 9, followed by an infinite number of 9's, if you then take away the first number, every single 9 after the decimal point in the second number, is cancelled out by the 9's after the decimal point in the first number, and you're left with 9. Last edited by lucadeltodesco (20061129 02:40:19) The Beginning Of All Things To End. The End Of All Things To Come. #130 20061129 23:38:23
Re: 0.9999....(recurring) = 1?To lucadeltodesco! #131 20061130 02:01:05
Re: 0.9999....(recurring) = 1?how is that a problem? The Beginning Of All Things To End. The End Of All Things To Come. #132 20061130 04:45:26
Re: 0.9999....(recurring) = 1?Anthony wrote:
Then wrote:
That is the number of 9's. Nonfinite. "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..." #133 20061130 08:14:16
Re: 0.9999....(recurring) = 1?I just use: When asked a question like this. It's arguable, so I'm not saying that it's the absolute certain proof. #134 20061130 09:02:17
Re: 0.9999....(recurring) = 1?tbh, i dont understand how anyone can argue this simple proof? you get people saying, oh but when you times it by 10, there must be on less 9 on the end of it, but that doesnt make sense, because thats treating infinity as a definate value. The Beginning Of All Things To End. The End Of All Things To Come. #135 20061130 09:17:16
Re: 0.9999....(recurring) = 1?luca, the proof makes assumptions about binary operations performed on the decimal expansion of real numbers. Those assumptions turn out to be correct based on most standard definitions, but they are presented as assumptions none the less. "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..." #136 20061130 23:56:22
Re: 0.9999....(recurring) = 1?If all Infinite Numbers equalled an Integer Number as in Infinite 0.9 = 1 it would be much easier to just call them Integer Numbers!! #137 20061201 04:19:16
Re: 0.9999....(recurring) = 1?0.999... is an integer! "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..." #138 20061202 01:05:56
Re: 0.9999....(recurring) = 1?To Ricky! #139 20061202 04:47:24
Re: 0.9999....(recurring) = 1?
But that statement isn't true. There is a theorem which says: In other words, if I have two numbers: 0.375.... (note that ... here means I know there are other digits, but I don't know what they are) and 0.376.... (same thing here) Without knowing any other digits, I can state that 0.375... <= 0.376 but I can not state that 0.375... < 0.376... "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..." #140 20061203 02:22:59
Re: 0.9999....(recurring) = 1?To Ricky! #141 20061203 06:16:21
Re: 0.9999....(recurring) = 1?
Sure, you can state that. But you'd be wrong. I've tried to explain how in as many ways as possible. (At least) Three different proofs have been in these threads show that 0.999... = 1, and you have yet to level one criticism against any of them. You just keep stating that 0.999... does not equal 1. Frankly, I feel like I'm talking to a brick wall, and I'm getting tired of it. "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..." #142 20061204 01:14:01
Re: 0.9999....(recurring) = 1?To Ricky! #143 20061204 01:36:15#144 20061204 01:55:20#145 20061204 04:26:39
Re: 0.9999....(recurring) = 1?i completely agree with ricky The Beginning Of All Things To End. The End Of All Things To Come. #146 20061206 00:34:40
Re: 0.9999....(recurring) = 1?Genius! is seen in the eyes of others! when the problem is made clear! by the Genius! #147 20061206 00:42:07
Re: 0.9999....(recurring) = 1?Anthony  how about you start to prove the proofs false instead of writing nonsense #148 20061206 04:40:12
Re: 0.9999....(recurring) = 1?I know this has probably been said before but:    and so by the same steps:    (did I make any mistakes in the proof?) Last edited by Ehiness (20061206 04:51:27) #149 20061207 01:08:11
Re: 0.9999....(recurring) = 1?OK LET'S SEE IF SOMEONE CAN REALLY PROVE THIS QUESTION! #150 20061207 02:06:23
Re: 0.9999....(recurring) = 1?That doesn't even make sense... Why would you do that? You can't keep on counting and eventually reach infinity. It's not a point, like the wall you described. 