I just broke math...

[bluntman]

O.K.... was doing some doodling and figured I'd crunch some numbers just for the hell of it :P what can i say i'm bored
well while i was messing around i discovered something..
lets say you are dealing with the number .9(repeating) ..
set N=.9(repeating)
if N=.9(repeating) then 10N=9.9(repeating)
10N-N=9.9(repeating)-.9(repeating)=9=9N
take 9N=9 and separate the N
9N/9=1
N=1
so... N=1 but N also = .9(repeating)

now i know that .9 repeating approaches 1 as it approaches the infinity position, but it never reaches 1...

alternatively..
lets take .1(repeating)
.1(repeating)=1/9
.2(repeating=2/9
.3(repeating=3/9
continue this pattern and you'll see were I'm going...
.9(repeating)=9/9??

either I'm extremely tired or I've successfully broken math :P someone let me know which one it is lol

[Gomotron]

O.K.... was doing some doodling and figured I'd crunch some numbers just for the hell of it :P what can i say i'm bored :)
well while i was messing around i discovered something..
lets say you are dealing with the number .9(repeating) ..
set N=.9(repeating)
if N=.9(repeating) then 10N=9.9(repeating)
10N-N=9.9(repeating)-.9(repeating)=9=9N
take 9N=9 and separate the N
9N/9=1
N=1
so... N=1 but N also = .9(repeating)

now i know that .9 repeating approaches 1 as it approaches the infinity position, but it never reaches 1...

Your problem occurs when, to me, you seem to arbitrarily say 9=9N.

I'm not sure where you're coming up with that.


As far as your other observation:
I think that the basic equality is flawed. I do not think that .1111--- is equivalent to 1/9, although on the surface it would appear to be the case.

[bluntman]

well. with this i am stating that when you take 10N and subtract N from it you get 9 so 9N=9 and so far as the 1/9=.1 repeating its true but as for if it remains true in higher mathematics I'm unsure... like for the purposes of calc1-2 0/0 is undefined and not an acceptable answer whereas when you reach calc3-4 / dif. eq. 0/0 can be infinity or 1 ect...

anyhow I'm going to take this as a i need to sleep more and do this less :P
I'll mention it to my professor tomorrow and see if she gets a kick out of it heh

[thinus]

well. with this i am stating that when you take 10N and subtract N from it you get 9

No you don't, you get 9N.

[Basilikos]

Sorry, but we've all seen this one before.

And yes, it's true.

1/9 = .111(repeating)
9 * (1/9) = .999(repeating)
9 * (1/9) = 1
1 = .999(repeating)

Questions?

And while I'm here, why is it that everyone who posts this on any given forum (and I've seen it on many) has to make it so damn complicated? Why not used the four lines I've posted above? It is just for the sake of making someone's head spin?

[Basilikos]

I'll mention it to my professor tomorrow and see if she gets a kick out of it heh

She won't. She's seen it before. And even if she hasn't seen it, it won't surprise her any.

[spudstar99]

set N=.9(repeating)

if N=.9(repeating) then 10N=9.9(repeating)

10N-N=9.9(repeating)-.9(repeating)=9=9N

take 9N=9 and separate the N

9N/9=1

N=1

so... N=1 but N also = .9(repeating)

9N are 9*0.9(repeating)

you claimed 9N=9 that is wrong, because you claimed n=0.9 ... don't mix this ...

this is a little bit abstract but just keep an eye on the little things

so that is maybe your fault ;P

sincery spud

[spudstar99]

@ Basilikos

Sorry, but we've all seen this one before.

And yes, it's true.

Quoted

1/9 = .111(repeating)
9 * (1/9) = .999(repeating)
9 * (1/9) = 1
1 = .999(repeating)

Questions?

And while I'm here, why is it that everyone who posts this on any given forum (and I've seen it on many) has to make it so damn complicated? Why not used the four lines I've posted above? It is just for the sake of making someone's head spin?

easy 9* (1/9) = 1 not 0.9(repeating)
and 9*0.1(repeating) = 0.9(repeating)
they are not equal
just as info

[Turenn]

you guys are geeks

[Frosty]

Why do I feel the need to beat you all up??? :P

Nerd on Nerd rage!!! RAWR!!!