Proof that 0.9999999 = 1

T-Bone

In Cryo Sleep
n = 0.9999999999^INF

10n = 9.9999999999^INF

9n = 10n - n
= 9.9999999999^INF - 0.9999999999^INF
= 9

Therefor n = 1

Therefor 0.9999999999^INF = 1

O.O

This, my friends, is why we still rely on fossil fuels! :P
 

waterproofbob

Junior Administrator
Another way of thinking about it that I prefer.

1/3=.3333333333333
2/3=.6666666666666
3/3=.9999999999999=1

It confuses me that so many take such issue with this. Infinity does seem to confuse.
 

Rai

In Cryo Sleep
Revolution! grab yer torches, we're going to spain!!! *confused*

This really makes me wanna go emo...

About emo's
Downsides:
-Makes razors a scarce item.
-Bloodstains are hard to wash out.
-Awfull taste of music.
-They only think about themselves.

Upsides:
-Problem solves it self over time.
-Music can be stopped by use of a hammer.
-Bloodstains can be dodged and blocked, however, it can't be parried.
-Thinking can be stopped with a hammer.
-Problem can be solved with a hammer.



F.Y.I. That's how much it confused me...
And I'm using fossil fuels for favor, eat that, greenpeace!
 

AcidK

New Member
LoL, had my brother talk to me about that mathmatic with me a while ago (he's at university studying 2 maths courses o_O). He also showed me an algebraic formula that can proove that 1 = 2, therefore 2 = 5 and therefore 10 = 1

o_O
 

Wol

In Cryo Sleep
LoL, had my brother talk to me about that mathmatic with me a while ago (he's at university studying 2 maths courses o_O). He also showed me an algebraic formula that can proove that 1 = 2, therefore 2 = 5 and therefore 10 = 1

o_O

Bearing in mind they usually forget some rules in those which is how they are possible usually a division by zero or something!

Theres a whole list .... here

Usually fun to confuse people when theyre slightly drunk though! :D
 

waterproofbob

Junior Administrator
n = 0.9999999999^INF

10n = 10 (0.9999999999^INF)

9n = 10n - n
= 10 (0.9999999999^INF) - 0.9999999999^INF
= 0.9999999999^INF

Therefor n = 0.9999999999^INF

???

Errrrr what. You appear to have massively confused a hugely simple piece of algebra. That or you don't understand how x10 works. Either way. Errrr What?

Or you are just restating what n is again but as we know that already I'm confused by what you are trying to do Psi?
 

T-Bone

In Cryo Sleep
n = 0.9999999999^INF

10n = 10 (0.9999999999^INF)


All fine so far.

9n = 10n - n
= 10 (0.9999999999^INF) - 0.9999999999^INF
= 0.9999999999^INF


Incorrect!


9n = 10n -n
= 10 (0.9999999999^INF) - 0.9999999999^INF
= 9.999999999^INF - 0.999999999^INF
= 9

Multiplication always comes before subtration otherwise you would have ended up with 10 x 0 = 0 and not "n = 0.9999999999^INF". I dont know what the hell you did but it's wrong. :P
 

Zooggy

Junior Administrator
Staff member
Ahey, :)

9n = 10n - n
= 10 (0.9999999999^INF) - 0.9999999999^INF
= 0.9999999999^INF

Therefor n = 0.9999999999^INF

???

Incorrect!

[...]

Multiplication always comes before subtration otherwise you would have ended up with 10 x 0 = 0 and not "n = 0.9999999999^INF". I dont know what the hell you did but it's wrong. :P

I am astounded at how far people will go in the name of mathematical righteousness... ;)

For your enlightenment, T-Bone, let me restate what Psi wrote, there:

9n = 10n - n
= 10 (0.9999999999^INF) - 0.9999999999^INF
= 9 (0.9999999999^INF)

Therefor n = 0.9999999999^INF

That is what he meant, and that is, in fact, correct.

By the way, if I may ask, why did you feel the urge to prove that 1=1? ;)

Cheers,
J.
 

Angelic

Active Member
Multiplying 0,999999999^INF by ten will not give you 9,999999999^INF, it will give you 10*(0,9999999^INF), because as we all know raising to a power comes before multiplying, much like multiplying comes before adding or substracting.

Try this:

2^6 = 64
2*(2^6) = 128
4^6 = 4096

Failbone is fail.

Angelic over and out.

EDIT: What Zooggy said.
 

PsiSoldier

Well-Known Member
9n = 10n - n
= 10 (0.9999999999^INF) - 0.9999999999^INF
= 9 (0.9999999999^INF)

Therefor n = 0.9999999999^INF

That is what he meant, and that is, in fact, correct.

Yeah that's it. Not quite sure how I didn't notice I left it out :D.

BIDMAS

Brackets
Indices
Division
Multiplication
Addition
Subtraction
 

waterproofbob

Junior Administrator
the whole .99^inf is our stumbling block here. I'm not sure how to get 9 with a bar over the top of it and within the confines of what we are doing here that it was not writen as an indice.

Yes taking the standard ^INF to be the power of would make this all wrong but that isn't what T-Bone is writing he is just making it easier for us to read .9999etc. I'd not actually looked at it as an indice. If we were talking indices .9999^inf=0 anyway so as far as this makes goes it's entirely pointless anyway.
 
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