Just dumping it here -
Macluawn - 09.12.2011
x=0.(9)
10x = 9.(9)
10x-x = 9.(9) - 0.(9)
9x = 9
x = 1 = 0.(9)
le probleme, math people?
Re: Just dumping it here -
Ash. - 09.12.2011
I confused a math teacher by doing that - it was quite funny because I proved him wrong, after about a 30 minute debate about that!
Re: Just dumping it here - [MM]IKKE - 09.12.2011
Quote:
Originally Posted by Macluawn
x=0.(9)
10x = 9.(9)
10x-x = 9.(9) - 0.(9)
9x = 9
x = 1 = 0.(9)
le probleme, math people?
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What's this supposed to mean? If you want to prove it wrong, look at step 2: 10x = 9.9? If you define x as 0.9, then that's 9.0...
Re: Just dumping it here -
Macluawn - 09.12.2011
0.(9) = 0.999999999999...
it just means, that the number nine is repeating forever.
Re: Just dumping it here -
Mauzen - 09.12.2011
Ye good ol' problem, also was a popular topic during my physics lessons back at school.
0.(9) is indeed = 1, there are a lot of ways to proof that. I really like your solution, havent seen it that way before I think. However, thats the most simple one that comes up to my mind:
Код:
1/9 = 0.(1) | x9
1 = 9/9 = 0.(9)
edit: +rep for a math topic finally
Re: Just dumping it here - [MM]IKKE - 09.12.2011
Quote:
Originally Posted by Macluawn
0.(9) = 0.999999999999...
it just means, that the number nine is repeating forever.
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Oh, I know what it means now. Never seen that notation before tbh, we just write 0.99...And yes it's true, countless ways to prove them (
http://en.wikipedia.org/wiki/0.999... ), yours is included as well.
I like this one:
Quote:

has the limit 0. Considering the nth term of the sequence, for n=0,1,2,..., it must therefore be shown tha

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