An interesting discussion of a slightly, different, topic?
 

I notice that most discussions or debates here are those that are political/ literary/ scientific. Leaving out anything mathamatical, probably because things in math are eaither true or not. Recently, this statement I shall shortley make has, I think, been accepted as fact by the mathamatical community. I have argued that it was true and convinced a good deal of people the same on another forum, and I think it can make lively debate here too. Although, please, dont act like an idiot and just say "THATS STUOPIDER YOU DUMBEY ITS WRONG I WIN YOU DUMBASS AHHAHAH!!!!!!!!!1111111111oneone" I'm not going to explain why this is (or at least in my opinion is) true just yet, becuase I don't want to skew anyones inital opinion's about this, but soon when some people question it I'll give a few explinations (I cant explain it a good 3 or 4 ways if I remember all of them)

Anyway, sorry if this has been brought up before......

1 = .9999999999... (repeats forever, also notated as .9~)

discuss :D

* on second thought, maybe a mod should move this to the Discussion Board... *

Hmmmm... well if you get technical. .99999999~ isn't really equal to one... But then there's the concept of rounding up to one. @-@

Arguing for the fact that it isn't one, er.. .9999999999~ is always going to be one step away from one, so to speak. It will never become one, no matter how large it becomes.

But simplistically, it equals one in the same sense. I would personally (and if my brain wasn't in the mood for math, which it usually isn't) think that .9999999~ is truly equal to one

It just depends upon your matter of thinking as to what the real answer is.

[EDIT]
You could probably ask one that is on to move it for you. I'm sure they wouldn't mind
[/edit]

that is like saying zero = ε (epsilon)

.9999999.... is 1-ε.

Edit:
wait, I know what your saying. 3/3 = .99999999..., but at the same time = 1
heh, that is because math is crazy that way.

Well, we seem to have a winner on that one.


Here is the mathamatical proof that .9~ does in fact equal exactly one, not rounded

1/3 = .3~
1/3 * 3 = 3/3 = 1
.3~ * 3 = .9~

I forgot what rule of logic it is, but when you take two things that are equal, and do the same thing to each of the equal terms, their answers are equal

(1/3 and .3~ are equal, and if you * the two equal terms by the same thing, 3, the answer is the same)

Therefore, 1= .9~


Now, there is also a complicated proof which is less math based and harder to explain, which I'll attempt to tell if anyone need further swaysion.

You wanna know what REAAAALLY screws with my head...?

Imaginary numbers. Those are teh evil.

Seriously how can a number be imaginary? And if there can be, how do we know that ALL numbers aren't imaginary?

*runs away and beats head into a wall... detests that whole concept >.< *

[EDIT]

Wow... never thought of the whole 3/3 thing. It makes sense now! sorta. :confused:

I think imaginary numbers are just used as 'reference' points when graphing a function that does not have a root, yet you need a certain amount of set points to properly graph it.


Take a parabola that is completley above/below the X axis. It doesn't techinically have a 'root', but you need something to tell you when it is going to reach its min and turn up/downwards again. This is the use of imaginary numbers for graphs. (Multiple imaginary roots means that a graph truns up/downqards multiple times where it is not a root/does not cross the x axis)

Not too sure about other uses of those suckers.

yes, but my calc teacher sucks, can you/anyone else prove it that way.

Unless this is what your talking about ....

as .999... number gets infinatley larger, there is an 'infinatley small' distance between it and the next number, 1, and infinatley small is the same as saying zero.

ALSO,
between any 2 numbers is an infinate amount of number, but give me one nmber between .999... and 1

1/∞ = ε
so 1 - ε would be the number in-between 1 and .999...


you know, actually, I decide to think 1/3 doesn't exist, rather than 1=.999... :P