.999999999999...

[CptnNsan0]

You want math

x = .9~
10x = 9.9~
9x = 9
solve for x,
x = 1
No this is wrong

.999999 can not = 1 because that means x/x MUST equal 1. Type .999999999999/1 or 1/.9999999999999 into your calculator and it will never come out to be 1.

[Tural]

Type .999999999999/1 or 1/.9999999999999 into your calculator and it will never come out to be 1.

Wrong. It will come out to be 1, because it is 1.

I'm already sick of this thread. If you want to continue to think you're right, go right ahead. I'll take my logic and facts elsewhere.

[CptnNsan0]

Unless it rounds...

[jks]

.999999 can not = 1 because that means x/x MUST equal 1. Type .999999999999/1 or 1/.9999999999999 into your calculator and it will never come out to be 1.

Because your calculator is always right, amirite?

[Munsie]

Calculators don't have an infinite amount of place holders. >_>

[CptnNsan0]

I didn't say that. That is just backing up my theory

we both have plausible arguments and this debate could go on forever so I'm not going to argue anymore. I guess it depends on how you look at things

[{TP}Spartan]

it's 1 it rounds ok?

[HPDarkness]

It equals 1. I'm pretty sure we talked about this last year in Math class.

[jks]

I didn't say that. That is just backing up my theory

we both have plausible arguments and this debate could go on forever so I'm not going to argue anymore. I guess it depends on how you look at things

No it doesn't. Your arguement is not valid because your reasoning is false. You're using a calculator which has built in limits to support your arguement.

[Dr.Cox]

But . . . you don't have to round, no matter when you stop it. .99999999999999999 can just equal .99999999999999999, it doesn't have to round. However, to accurately represent .9 repeating, the only way we can get close is by rounding. However, rounding is the very antithesis of being exact. Hence, by saying that rounding it makes it 1, you have stated that it is, in fact, not 1. The human mind just doesn't really have the capacity to understand infinity, that's the problem.

[jks]

But . . . you don't have to round, no matter when you stop it. .99999999999999999 can just equal .99999999999999999, it doesn't have to round. However, to accurately represent .9 repeating, the only way we can get close is by rounding. However, rounding is the very antithesis of being exact. Hence, by saying that rounding it makes it 1, you have stated that it is, in fact, not 1. The human mind just doesn't really have the capacity to understand infinity, that's the problem.

No, it does have the capability to understand infinity. Perhaps not on a fundamental level, but I can understand it enough to use it and apply it to problems. And I'm not saying .999... ROUNDS to 1, I'm saying THEY ARE EXACTLY EQUAL.

[Dr.Cox]

But . . . you don't have to round, no matter when you stop it. .99999999999999999 can just equal .99999999999999999, it doesn't have to round. However, to accurately represent .9 repeating, the only way we can get close is by rounding. However, rounding is the very antithesis of being exact. Hence, by saying that rounding it makes it 1, you have stated that it is, in fact, not 1. The human mind just doesn't really have the capacity to understand infinity, that's the problem.

No, it does have the capability to understand infinity. Perhaps not on a fundamental level, but I can understand it enough to use it and apply it to problems. And I'm not saying .999... ROUNDS to 1, I'm saying THEY ARE EXACTLY EQUAL.

MB bad i thought we were rounding

This help jks?

Proof: 0.9999... = Sum 9/10^n
(n=1 -> Infinity)

= lim sum 9/10^n
(m -> Infinity) (n=1 -> m)

= lim .9(1-10^-(m+1))/(1-1/10)
(m -> Infinity)

= lim .9(1-10^-(m+1))/(9/10)
(m -> Infinity)

= .9/(9/10)

= 1

[galvination]

I'm no mathemeticion but using the series .9*10^n from 1 to infinity you can prove the infinite sum .99999999999 = 1 Or something along those lines...

There's a picture here

http://web01.shu.edu/projects/reals/numser/t_geom.html

[-Legendary-]

I already posted a thread about this :O.
They are equal

[BEEF!!!]

Ah, the classic Halomods 'argue about nothing' thread.
Warms my heart to see such insignificant verbal skirmishes =D

[noscottno]

there is no way you can put an infinite decimal into a fraction. It is mathematically impossible.

lol.

Lawl!

And .999etc =1
2.999etc=3
etc..

[-Legendary-]

.9~ = tlej

[Kirk]

Mathematically it's true.

But as for me, I actually don't give a shit. I just don't see why anyone would care about something like this...

[warlord]

The calculator i used for my electronics course has the infinity symbol as we occasionally has maths that required this for the component's.
and when i tried this sum it basically replied saying to input a valid question.
Although mathematically correct mathematics have though changed over the years and come up with new explanations such as 0/0 in which a new number was invented which was the result of half of zero.
For the moment 0.9999~ equals 1 but sometime in the future a more logical and more factual meaning will be found.

[Patrickssj6]

You have to see it always from a point of view...

"Give me number between .999... and 1" - "There is none" - "So it must be the same right?!"

A number is different from another if there is another number between them but that really depends on the point of view.