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.999~ = 1? |
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12-21-2003, 10:47 PM
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#1
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Knight
One Winged Angel is offline
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.999~ = 1?
I feel like discussing some mathematics to get rid of all the stupid in this board.
So... can .999 repeating equal to 1?
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Re: .999~ = 1? |
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12-21-2003, 11:13 PM
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#2
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★★★
GameMaster is offline
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Re: .999~ = 1?
Nope.
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Re: .999~ = 1? |
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12-21-2003, 11:39 PM
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#3
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Link1130
Ginkasa is offline
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Re: .999~ = 1?
It wouldn't equal one, no, but it would close enough that most people would just round up. The only reason I could see for not is if its part of some chemical equation or something that needs exact numbers.
*shrugs and walks away*
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Re: .999~ = 1? |
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12-22-2003, 12:16 AM
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#4
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Language Goddess
DimHalo is offline
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Re: .999~ = 1?
no it can't... if you analyze it with infinitive numbers it would never equal 1
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Re: .999~ = 1? |
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12-22-2003, 12:34 AM
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#5
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Jedi Master
Yoda9864 is offline
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Re: .999~ = 1?
Well, no it isn't. But enjoy, if you will, a little play on concepts below:
.11111111111 repeating is 1/9 right?
.22222222222 repeating is 2/9 right?
so wouldn't .99999999 repeating be 9/9?
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Re: .999~ = 1? |
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12-22-2003, 12:39 AM
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#6
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Abra Kadabra
Vampyr is offline
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Re: .999~ = 1?
Quote:
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Originally Posted by Yoda9864
Well, no it isn't. But enjoy, if you will, a little play on concepts below:
.11111111111 repeating is 1/9 right?
.22222222222 repeating is 2/9 right?
so wouldn't .99999999 repeating be 9/9?
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He knows too much. 
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Re: .999~ = 1? |
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12-22-2003, 12:58 AM
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#7
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Knight
gekko is offline
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Re: .999~ = 1?
Quote:
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Originally Posted by Yoda9864
Well, no it isn't.
.11111111111 repeating is 1/9 right?
.22222222222 repeating is 2/9 right?
so wouldn't .99999999 repeating be 9/9?
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Yes, it is. There are numerous mathematical equations to prove it, you showed one. I've forgotten the others, and then I've seen some that are confusing as hell. But they all come back to prove that it's equal. |
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Re: .999~ = 1? |
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12-22-2003, 02:37 PM
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#8
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Viscount
playa_playa is offline
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Re: .999~ = 1?
Quote:
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Originally Posted by Yoda9864
Well, no it isn't. But enjoy, if you will, a little play on concepts below:
.11111111111 repeating is 1/9 right?
.22222222222 repeating is 2/9 right?
so wouldn't .99999999 repeating be 9/9?
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Well, no. Because in math, a number divided by itself will always be 1 (10!/10!=1 in the same way that 10^4/10^4=1). The only trouble is that .111~, for example, will never be expressed in full since its decimal points will be infinite. Therefore, repeating .999~ will never be a precise expression of 1. In other words. at any point you stop adding 9 to the end of the number, that number will deviate from an exact representation of 1. If you are being anal, 9x.99999999~ does not exactly equal 9, no matter how you slice it. It'll just be 8.99999~. It's just that as the numerator approaches the denomenator in value, the absolute value of the fraction itself will infinitely approach 1 - in this case, .999999~.
But this is all just a mathematical triviality, don't you guys think.
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Last edited by playa_playa : 12-22-2003 at 02:52 PM.
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