.99999 does not equal 1

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Wendy

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Re: .99999 does not equal 1
« Reply #240 on: August 15, 2008, 04:46:07 AM »
It becomes undefined only when x=1.
Here's an explanation for ya. Lurk moar. Every single point you brought up has been posted, reposted, debated and debunked. There is a search function on this forum, and it is very easy to use.

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mwahaha

Re: .99999 does not equal 1
« Reply #241 on: August 15, 2008, 06:43:20 AM »
YA CUZ 1+1=2 GUYS, C'MON.

That avatar is annoying. I should finish making your spinning muffin just to get rid of it.

What are you talking about? Spazzy seizure man from iconator is da bomb!

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Sean O'Grady

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Re: .99999 does not equal 1
« Reply #242 on: August 15, 2008, 08:05:58 AM »
How many nines can I write before the equation becomes undefined?

42?

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Trekky0623

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Re: .99999 does not equal 1
« Reply #243 on: August 15, 2008, 08:09:42 AM »


In layman's terms: As you add more 9's to 0.999..., it approaches 1.  When you have "added" an infinite amount of 9's, the number literally is 1.  It's not close, it is 1.

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Jack

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Re: .99999 does not equal 1
« Reply #244 on: August 15, 2008, 08:32:09 AM »
f(x)=1/(1-x)

How many nines can I write before the equation becomes undefined?
Within finite range. It will become undefined once 0.999... approaches infinity.
« Last Edit: August 15, 2008, 08:38:09 AM by Jack. »

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Trekky0623

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Re: .99999 does not equal 1
« Reply #245 on: August 15, 2008, 08:44:56 AM »
WHO ARE WE ARGUING AGAINST WITH?  TREKKY NO GET IT!

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Jack

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Re: .99999 does not equal 1
« Reply #246 on: August 15, 2008, 08:50:03 AM »
I don't see why we have to go 13 pages for this. The title of this thread is correct.

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cmdshft

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Re: .99999 does not equal 1
« Reply #247 on: August 15, 2008, 09:04:38 AM »
I don't see why we have to go 13 pages for this. The title of this thread is correct.

Quite the astute observation, and it's correct.

But, the OP explains otherwise. Which is what was being argued.

I still stand by my proof, and it has yet to be proven incorrect. All the strawmen, derailments, etc wont hide the fact that no one has been able to defeat my proof.

Re: .99999 does not equal 1
« Reply #248 on: August 15, 2008, 10:11:56 AM »
I still stand by my proof, and it has yet to be proven incorrect. All the strawmen, derailments, etc wont hide the fact that no one has been able to defeat my proof.

I sometimes wonder if you've ever paid any attention to anything on this forum.  And I'm not saying you're wrong.  And I'm also shit at explaining stuff, especially nowadays, so don't expect any explaining.

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Raist

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Re: .99999 does not equal 1
« Reply #249 on: August 15, 2008, 10:53:19 AM »



I am insecure about my sexuality

Lol, fail with the pic.

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zeroply

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Re: .99999 does not equal 1
« Reply #250 on: August 15, 2008, 01:55:30 PM »
Haven't been on here in a while, but this discussion is driving me crazy.

Real numbers are abstract objects. 0.9999... is a particular way we REPRESENT one of these objects. We can represent the same object as 1.000... or for that matter just 1

I just realized this when I found that IV = 4, even though they look quite different...

... well, Dedekind cuts helped too.

Re: .99999 does not equal 1
« Reply #251 on: August 15, 2008, 02:06:48 PM »
It becomes undefined only when x=1.
but if 0.99999..... will eventually equal 1 with enough nines how many can we put before it becomes one and makes the equation undefined since by the logic put forth here the answer is no longer just one
Only 2 things are infinite the universe and human stupidity, but I am not sure about the former.

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cmdshft

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Re: .99999 does not equal 1
« Reply #252 on: August 15, 2008, 02:07:48 PM »
I sometimes wonder if you've ever paid any attention to anything on this forum.

Only what interests me.

And I'm not saying you're wrong.  And I'm also shit at explaining stuff, especially nowadays, so don't expect any explaining.

I try and make it as simple as possible.It's just too much of a hassle to make it more complicated than it really needs to be.

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Trekky0623

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Re: .99999 does not equal 1
« Reply #253 on: August 15, 2008, 03:35:28 PM »
It becomes undefined only when x=1.
but if 0.99999..... will eventually equal 1 with enough nines how many can we put before it becomes one and makes the equation undefined since by the logic put forth here the answer is no longer just one.

It becomes 1 when you stop adding nines and add a 0.(some number of 0's)1.

Such as 0.99999 + 0.00001 = 1

You can't add enough nines to equal one, since adding produces a finite number of them.  0.999... is just another way of writing 1.

Re: .99999 does not equal 1
« Reply #254 on: August 15, 2008, 03:46:57 PM »
I try and make it as simple as possible.It's just too much of a hassle to make it more complicated than it really needs to be.

You definitely keep it simple.  But it's that simplicity that leaves me speechless with a face palm at times.  You're still right in the end, though, so who cares anymore.

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cmdshft

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Re: .99999 does not equal 1
« Reply #255 on: August 15, 2008, 03:50:40 PM »
I try and make it as simple as possible.It's just too much of a hassle to make it more complicated than it really needs to be.

You definitely keep it simple.  But it's that simplicity that leaves me speechless with a face palm at times.  You're still right in the end, though, so who cares anymore.

To quote from The Joker in "The Dark Knight": "I'm a dog chasing cars. I wouldn't know what to do with one if I caught it! You know, I just... do things."

I think that sums me up pretty well.

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mwahaha

Re: .99999 does not equal 1
« Reply #256 on: August 15, 2008, 05:16:14 PM »
I try and make it as simple as possible.It's just too much of a hassle to make it more complicated than it really needs to be.

You definitely keep it simple.  But it's that simplicity that leaves me speechless with a face palm at times.  You're still right in the end, though, so who cares anymore.

To quote from The Joker in "The Dark Knight": "I'm a dog chasing cars. I wouldn't know what to do with one if I caught it! You know, I just... do things."

I think that sums me up pretty well.

I'mma see Dark Knight tomorrow!

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narcberry

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Re: .99999 does not equal 1
« Reply #257 on: August 15, 2008, 06:18:03 PM »
It becomes undefined only when x=1.
but if 0.99999..... will eventually equal 1 with enough nines how many can we put before it becomes one and makes the equation undefined since by the logic put forth here the answer is no longer just one.

It becomes 1 when you stop adding nines and add a 0.(some number of 0's)1.

Such as 0.99999 + 0.00001 = 1

You can't add enough nines to equal one, since adding produces a finite number of them.  0.999... is just another way of writing 1.

So infinity = 1...  ::)

Re: .99999 does not equal 1
« Reply #258 on: August 15, 2008, 06:24:35 PM »
I'mma see Dark Knight tomorrow!

That shouldn't have been posted.

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Trekky0623

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Re: .99999 does not equal 1
« Reply #259 on: August 15, 2008, 06:26:57 PM »
Quote
So infinity = 1...  ::)

No.  The number 0.999... with a finite number of nines approaches 1.  When the nines never end, 0.999... = 1

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CognitiveDissonance001

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Re: .99999 does not equal 1
« Reply #260 on: August 15, 2008, 06:27:55 PM »
It becomes undefined only when x=1.
but if 0.99999..... will eventually equal 1 with enough nines how many can we put before it becomes one and makes the equation undefined since by the logic put forth here the answer is no longer just one.

It becomes 1 when you stop adding nines and add a 0.(some number of 0's)1.

Such as 0.99999 + 0.00001 = 1

You can't add enough nines to equal one, since adding produces a finite number of them.  0.999... is just another way of writing 1.

So infinity = 1...  ::)

Nope. 0.(9) = 0.9999... = 9/9 = 1

Infinity = Aleph nought = the domain of countable numbers, and operates under an entirely different set of rules.

CD
With every post to the Flat Earth Forum,
William of Occam kills a kitten.

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narcberry

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Re: .99999 does not equal 1
« Reply #261 on: August 15, 2008, 06:31:11 PM »
Right, 1 = infinity.

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CognitiveDissonance001

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Re: .99999 does not equal 1
« Reply #262 on: August 15, 2008, 06:33:44 PM »
With every post to the Flat Earth Forum,
William of Occam kills a kitten.

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Trekky0623

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Re: .99999 does not equal 1
« Reply #263 on: August 15, 2008, 06:34:47 PM »
1 = 0.999...

0.999 ≠ ∞

It's 0.9 + 0.09 + 0.009 + 0.0009 + ...

Since the numbers grow increasingly smaller, they approach 1, not ∞.

Re: .99999 does not equal 1
« Reply #264 on: August 15, 2008, 06:41:06 PM »
GUYS, HE'S DOING IT TO BE A TROLL.  COULD HE MAKE IT ANY MORE OBVIOUS AFTER HIS PAST HISTORY OF BEING A TROLL?

Re: .99999 does not equal 1
« Reply #265 on: August 15, 2008, 06:41:52 PM »
1 = 0.999...

0.999 ≠ ∞

It's 0.9 + 0.09 + 0.009 + 0.0009 + ...

Since the numbers grow increasingly smaller, they approach 1, not ∞.
So it will never equal 1 gotcha
Only 2 things are infinite the universe and human stupidity, but I am not sure about the former.

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Trekky0623

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Re: .99999 does not equal 1
« Reply #266 on: August 15, 2008, 06:46:15 PM »
1 = 0.999...

0.999 ≠ ∞

It's 0.9 + 0.09 + 0.009 + 0.0009 + ...

Since the numbers grow increasingly smaller, they approach 1, not ∞.
So it will never equal 1 gotcha

0.999...9 ≠ 1 because it has a finite number of nines.

0.999... = 1.

This can be expressed in the proof I posted before, where it showed that 0.999...9 approaches 1.  When the nines stretch out forever (aka 0.999...), the number is 1.

Re: .99999 does not equal 1
« Reply #267 on: August 15, 2008, 06:54:25 PM »
but if 0.99999..... will eventually equal 1 with enough nines how many can we put before it becomes one and makes the equation undefined since by the logic put forth here the answer is no longer just one
Only 2 things are infinite the universe and human stupidity, but I am not sure about the former.

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Trekky0623

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Re: .99999 does not equal 1
« Reply #268 on: August 15, 2008, 06:58:13 PM »
but if 0.99999..... will eventually equal 1 with enough nines how many can we put before it becomes one and makes the equation undefined since by the logic put forth here the answer is no longer just one

You must put an infinite number of nines.  Same thing if you want 0.333... = 1/3.
« Last Edit: August 15, 2008, 07:05:20 PM by Trekky0623 »

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cmdshft

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Re: .99999 does not equal 1
« Reply #269 on: August 15, 2008, 07:01:38 PM »