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Geek Culture / Is 10 = 9.9999999... ??

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Libervurto
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Posted: 6th Sep 2008 23:27 Edited at: 6th Sep 2008 23:28
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Quote: "Is 10 = 9.99..."

No.

but I have wondered about...
1/3 = 0.33...
0.33 * 3 = 0.99
How crap is our number system when we can't even represent a third???

It is far better to complete a 10 line program than to start a 10,000 line program.
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Sinani201
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Posted: 7th Sep 2008 00:43 Edited at: 7th Sep 2008 00:45
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Quote: "Quote: "Is 10 = 9.99..."
No."

Meh? 0.99999... (9s forever) is equal to 1.
Take for instance, 1/3. 1/3 = 0.33333333 (3s forever). So, if you multiply 1/3 by 3, you get 3/3, or 1. Which means that 0.333333333... multiplied by 3 would be 0.9999999, which would have to be one aswell. It's perfect proof, and if you want more, check it out on the wikipedia article.



I'm Sinani201, and I approve of this message.
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Mahoney
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Posted: 7th Sep 2008 00:44
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Quote: ""Is 10 = 9.99..."
No.

but I have wondered about...
1/3 = 0.33...
0.33 * 3 = 0.99
How crap is our number system when we can't even represent a third???"


You haven't read this thread, have you?

Windows Vista Home Premium Intel Pentium Dual-Core 1.6 Ghz 1GB DDR2 RAM GeForce 8600GT Twin Turbo
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mamaji4
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Posted: 7th Sep 2008 00:49
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Uh, oh! Here we go again.
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Sinani201
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Posted: 7th Sep 2008 00:53
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Do I have some explaining to do? I haven't really read the entire thread.



I'm Sinani201, and I approve of this message.
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Green Gandalf
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Playing: Malevolence:Sword of Ahkranox, Skyrim, Civ6.
Posted: 7th Sep 2008 02:29
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Quote: "Uh, oh! Here we go again. "


Well, it was your fault.
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mamaji4
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Posted: 7th Sep 2008 13:03
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It's time for me now to repeat those historic words.
"Oh dear, what have I done!"
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Mahoney
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Posted: 7th Sep 2008 16:13
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Quote: "Do I have some explaining to do? I haven't really read the entire thread."


Basically, the end result of this thread was that 0.999... = 1, but, 3 x 1/3 is not a proof of it.

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Chris K
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Posted: 7th Sep 2008 17:01
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Yup.

-= Out here in the fields, I fight for my meals =-
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Green Gandalf
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Posted: 7th Sep 2008 20:11
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True, but the prime number thing is far more interesting.
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Cash Curtis II
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Posted: 7th Sep 2008 20:36
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I agree. I learned something from both, though, and that's always good especially considering that math isn't my strong area.


Come see the WIP!
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Chris K
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Posted: 7th Sep 2008 22:28
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As an aside, I having been trying to find for a long time an example of problem similar to Fermat's Last Theorem, where there was an equation something like (but not),

x^4 - y^4 = 4z^3

Which was suggested had no integer solutions. Eventually someone used a computer and found a set of integers that fit, each about a hundred billion billion in size.

It is commonly given as an example that even if you check a billion billion billion sets, you don't know that there might be a bigger number that works.

If anyone knows the theorem I'd love to know it's name! The theorem was definitely of the form: "There are no integer solutions to this equation: ..." and the equation included 4th powers.

Cheers.

-= Out here in the fields, I fight for my meals =-
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