Does 0.9 repeated = 1?

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10-24-2008, 12:37 AM
hungrymanz

Quote:

Originally Posted by ninja9578

See my post above about multiple views.

Computer science says that 1/∞ = 0 so 1 - 1/∞ = 1
Physics says the same thing because it uses limits to reach asymptotes
Relative physics uses calculus which can reach asymptotes, but doing so causes failure among basic physics so the break down of physics is what says that .999~ != 1, not the math.
Simple math states that asymptotes can not be reached, therefore .999~ != 1
Calculus can use limits to reach as asymptotes

This has nothing to do with physics or computer science, this has to do with MATHEMATICS and the FACT that .999 repeating is EQUAL TO ONE.

Quote:

Relative physics uses calculus which can reach asymptotes, but doing so causes failure among basic physics

Please get SOME idea of what you're talking about and stop posting bullshit.

Quote:

Simple math states that asymptotes can not be reached, therefore .999~ != 1

.999... IS NOT AN ASYMPTOTE. IT IS A NUMBER. ONE WHOLE NUMBER.

Just like 1 is not an asymptote, 3 is not an asymptote, .5 is not an asymptote.

Does 3.0000... not exist because the number's an asymptote? Is that number "going anywhere"?
10-24-2008, 12:40 AM
NeAvO

1/3=0.333333 ect

1/3 * 3 = 1
0.333333 * 3 = 0.9999999

1= 0.9999999

Or something along those lines despite not being true meh...

Where's Merlock when you need him.
10-24-2008, 12:45 AM
hungrymanz

Quote:

Originally Posted by NeAvO

Or something along those lines despite not being true meh...

So are you claiming that .99 repeating does not equal 1 after offering a very basic and self-explanatory proof of it?

That's like showing someone an apple and saying "this apple is not an apple."

News flash: .99... does equal 1. Nothing you say can change a very simple truth of math.
10-24-2008, 12:58 AM
Sornaensis

Quote:

Originally Posted by ninja9578

The problem with numbers is that people look at them differently depending on how they are used. Not in terms of rounding, just in terms of how they get used in calculations.

Does .999~ = 1?
Computers - yes
Physics - yes
Relativity Physics - no
Math - no
Calculus - yes

Does -0 = 0? (another common dispute)
Computers - no
Physics - no
Relative Physics - no
Math - yes
Calculus - yes

If you'd like I can give examples of all of these.

Wait, what?

I thought -0 = -1(0) = 0

And technically, .3333...(3) doesn't equal 1, but 1/3(3) does.
10-24-2008, 12:59 AM
Ynot

well, I'm always willing to be proved wrong
I still don't agree (and quick google says I'm not alone)

http://www.math.fau.edu/Richman/HTML/999.htm

Quote:

Arguing whether 0.999... is equal to 1 is a popular sport on the newsgroup sci.math---a thread that will not die. It seems to me that people are often too quick to dismiss the idea that these two numbers might be different.

I'm not a mathematician, but I'm not as naive as to think there's a definitive answer

oh, and as for the name calling.....grow up
10-24-2008, 01:01 AM
Original Poster

When I discovered this .999 problem it made me realize the true stupidity of rational thought.

If something is infinitely close to something else, isn't it touching it?

No, because the universe doesn't work in a way that makes sense. When do we get to do it over again?
10-24-2008, 01:08 AM
Ynot

if 0.999~ = 1
does, 0x2.666~ = 0x2.7
?
10-24-2008, 01:14 AM
hungrymanz

Quote:

Originally Posted by A Roxxor

And technically, .3333...(3) doesn't equal 3

It equals 1.

Quote:

Originally Posted by Ynot

well, I'm always willing to be proved wrong
I still don't agree (and quick google says I'm not alone)

Google also says this: http://www.google.com/search?hl=en&s...at&btnG=Search

Quote:

I'm not a mathematician, but I'm not as naive as to think there's a definitive answer

In this case there is.

You can't "twist" it because you are saying that a != a. There is simply no way this can be true with the laws of our universe. .99... is equal to 1, a = a.

Quote:

oh, and as for the name calling.....grow up

Learn up, and don't come to a thread to spread your worthless ignorance and ill-informed ideas. I can't even take you seriously anymore, because of the utter nonsense you've been posting.

Quote:

When I discovered this .999 problem it made me realize the true stupidity of rational thought.

If something is infinitely close to something else, isn't it touching it?

No, because the universe doesn't work in a way that makes sense. When do we get to do it over again?

Except we're talking about mathematics and the fact that .99.. repeating is equal to 1 through simple mathematic proofs. There is no philosophy here. a = a, it really is that simple.

Besides, you clearly don't understand the nature of infinity. I can explain if you're actually willing to listen, which appears to be a long shot.

Quote:

does, 0x2.666~ = 0x2.7

If you can prove it, yes. Is that hexadecimal? Then you can't prove it, because it's not true. That notation I'm not familiar with though and it seems to be that you are continuing to spam nonsense.
10-24-2008, 01:15 AM
Ynot

Quote:

Originally Posted by hungrymanz

and it seems to be that you are continuing to spam nonsense.

you know what,
screw you
10-24-2008, 01:19 AM
Sornaensis

.33333... * 3 = .99999...

1/3 * 3/1 = 3/3 = 1

.9999... Would be more like an asymptote. Approaching a number to infinity, but never reaching it.
10-24-2008, 01:22 AM
hungrymanz

Quote:

Originally Posted by Ynot

you know what,
screw you

Learn to argue. Learn to do sixth grade math. And screw you too.

Quote:

And technically, .3333...(3) doesn't equal 1

Yes it does.

Quote:

.33333... * 3 = .99999...

1/3 * 3/1 = 3/3 = 1

Yep, a proof that 1 = .999...
Not very hard to prove that.

Edit:

Quote:

If something is infinitely close to something else, isn't it touching it?

Is 1/3 infinitely close to .333... ? Yes. Is it also equal to 1/3 and .333... ? Yes (unless you insist on arguing elementary mathematical truths). "Infinitely close" is congruent to "equal to" - it is the nature of infinity. Newton understood this, 400 years ago. Why can you not understand it today?
10-24-2008, 01:28 AM
Sornaensis

Sort of.

Let's try this, though:

.9999... != 1, because, actually, it's .3333...(3) that equals one, which means that .3333... != .9999...

You have been disproved.
10-24-2008, 01:36 AM
hungrymanz

Quote:

Originally Posted by A Roxxor

actually, it's .3333...(3) that equals one,

This is true.

Quote:

which means that .3333... != .9999...

You are right.

But how does that lead to this conclusion:

Quote:

.9999... != 1

Quote:

You have been disproved.

I appreciate your attempt at an argument but don't be so arrogant as to claim that I have been disproved, when there are clearly huge holes in your argument.
10-24-2008, 01:45 AM
Sornaensis

Because .9999... = 1 = .3333...(3). So .9999... Can't be equal to 1.

1/3 = .3333...

3(1/3 = .3333...)

3/3 = 1

1 = 1
10-24-2008, 01:46 AM
Kushna Mufeed

^I'm with stupid
10-24-2008, 01:47 AM
hungrymanz

Quote:

Originally Posted by A Roxxor

Because .9999... = 1

You contradict yourself:

Quote:

So .9999... Can't be equal to 1.

I'm not sure what you're misunderstanding, perhaps you have a skewed understanding of the transitive property?
10-24-2008, 01:48 AM
Sornaensis

No...

Look at this, instead:

1/3 = .3333...

3(1/3 = .3333...)

3/3 = 1

1 = 1
10-24-2008, 01:52 AM
Sornaensis

Quote:

Originally Posted by Kushna Mufeed

^I'm with stupid

Let me put this in plainer terms...

I was wrong, before.

You say that .999... = 1 because 1/3(3) = 1

Actually, that's not true.

1/3(3) = 1 because .3333...(3) = 1.

.9999... != .3333...(3), thus is not equal to 1.

But then:

x = .99...

100x = 99.99...

99x = 99

x = 1

:P

And then:

.9999... =

.9999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999999999999999999999999999 99999999999999999999999999....

Which is not 1. Never will be 1. Dividing a repeating decimal like this by ten forever doesn't magically make it equivalent 1, it just makes it infinitely precise.
10-24-2008, 05:55 AM
spockman

You can argue that it's not one with words and exagerated logic all day long. But no matter how many fancy words you have, numbers say that .9~ is 1. Numbers do not lie. Words do.

Survey says....

ONE!

So nanananabooboo to the implied circular logic.
10-24-2008, 05:08 PM
Original Poster

Hungrymanz, you just NEED it to be 1 so the universe can exist in a logical, fluid way.

It doesn't.
10-24-2008, 07:14 PM
spockman

Theoretical mathematics do exist in a logical way, however.
10-24-2008, 08:06 PM
Xei

Why are so many people here ignorant of their lack of qualification to solve this problem?

0.999999... = 1, yes.

One proof has already been given; x10, -1x, /9x, you get 1.

I can probably do it another way using the sum formula for a geometric progression, a/(1-r):

∞
Σ9/10 x 1/10^n = (9/10) / (1 - 1/10) = (9/10) / (9/10) = 1
0

There.

Many people here have failed to realise that mathematics is not 'real' or 'tangible'. It is a set of rules which tell you how to manipulate symbols to get a set of truths about those symbols. Within that system, there is NO contradiction about the fact that 0.999... = 1.
10-24-2008, 09:06 PM
drewmandan

Quote:

Originally Posted by A Roxxor

.33333... * 3 = .99999...

1/3 * 3/1 = 3/3 = 1

.9999... Would be more like an asymptote. Approaching a number to infinity, but never reaching it.

How can a number be "approaching" anything? It isn't changing; it's a number. It's not a function. It's a single number. You must realize that 0.9~ is not a process of adding 9's, it's the totality of an infinite number of 9's after the decimal, and that is why it does equal 1.
10-24-2008, 09:10 PM
Xei

That was an incorrect proof by the way (if that's what it was supposed to be) because you would then need to prove that 0.333... = 1/3, and you're faced with exactly the same problem (although again it is trivial to do properly: x10, -1x, /9; or use my summing method above).
10-24-2008, 09:39 PM
Sornaensis

Quote:

Originally Posted by drewmandan

How can a number be "approaching" anything? It isn't changing; it's a number. It's not a function. It's a single number. You must realize that 0.9~ is not a process of adding 9's, it's the totality of an infinite number of 9's after the decimal, and that is why it does equal 1.

What?

That's what makes .9 different from .999...

(1/3 = .33...)(3)

1 = .99...

Or

1 = 1

?

Wouldn't the first one be untrue?

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