# .99999 does not equal 1

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#### mwahaha

##### Re: .99999 does not equal 1
« Reply #480 on: August 21, 2008, 06:38:42 PM »
Wait what...

#### Parsifal

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##### Re: .99999 does not equal 1
« Reply #481 on: August 21, 2008, 06:41:51 PM »
Wait what...

(Normal people drive on the left. )
I'm going to side with the white supremacists.

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#### mwahaha

##### Re: .99999 does not equal 1
« Reply #482 on: August 21, 2008, 07:09:09 PM »
Wait what...

(Normal people drive on the left. )

I know that, but I thought the fail was the stuff on the road...?

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#### Ambiguous Individual

• 181
##### Re: .99999 does not equal 1
« Reply #483 on: August 21, 2008, 07:18:18 PM »
Wait what...

(Normal people drive on the left. )

I know that, but I thought the fail was the stuff on the road...?
what, you prefer a different kind of beer?

#### Mr. Ireland

• 14984
##### Re: .99999 does not equal 1
« Reply #484 on: August 21, 2008, 07:19:26 PM »
Wait what...

(Normal people RIDE THEIR HORSES WHEN THEY TAKE THEIR TIME MACHINE BACK TO THE FEUDAL AGES on the left. )

#### Taters343

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• Pope/Tater/Robot with flower girl capabilities!
##### Re: .99999 does not equal 1
« Reply #485 on: August 21, 2008, 07:23:15 PM »
I think it is a highway, both lanes go in the same direction...

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#### narcberry

• 5570
• Reason > RET
##### Re: .99999 does not equal 1
« Reply #486 on: August 21, 2008, 07:25:01 PM »
Think of it this way:

the difference between 0.99 and 1 is 0.01
the difference between 0.9999999999 is 0.0000000001
the more 9's there are, the closer to zero the difference becomes

if there are an infinite number of 9's, the difference is infinitely close to zero.

now, ladies and gentlemen, how big is a number infinitely close to zero?
hint: it's fucking zero!

In other words, there is zero difference between 1, and 0.9999999999..........

Then there is no such thing as infinity.

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#### mwahaha

##### Re: .99999 does not equal 1
« Reply #487 on: August 21, 2008, 07:57:59 PM »
Wait what...

(Normal people drive on the left. )

I know that, but I thought the fail was the stuff on the road...?
what, you prefer a different kind of beer?

No, if I drank, I would prefer my beer not scattered on the road.

Wait what...

(Normal people RIDE THEIR HORSES WHEN THEY TAKE THEIR TIME MACHINE BACK TO THE FEUDAL AGES on the left. )

I DON'T GET IT.

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#### Ambiguous Individual

• 181
##### Re: .99999 does not equal 1
« Reply #488 on: August 21, 2008, 08:23:42 PM »
Wait what...

(Normal people drive on the left. )

I know that, but I thought the fail was the stuff on the road...?
what, you prefer a different kind of beer?

No, if I drank, I would prefer my beer not scattered on the road.
But there are unbroken ones...

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#### narcberry

• 5570
• Reason > RET
##### Re: .99999 does not equal 1
« Reply #489 on: August 23, 2008, 08:32:52 PM »
Well I've given you folk plenty of time to come up with a good argument.

Case closed, 0.9999... != 1
The end.

#### Dioptimus Drime

• 4531
• Meep.
##### Re: .99999 does not equal 1
« Reply #490 on: August 23, 2008, 10:44:19 PM »
Think of it this way:

the difference between 0.99 and 1 is 0.01
the difference between 0.9999999999 is 0.0000000001
the more 9's there are, the closer to zero the difference becomes

if there are an infinite number of 9's, the difference is infinitely close to zero.

now, ladies and gentlemen, how big is a number infinitely close to zero?
hint: it's fucking zero!

In other words, there is zero difference between 1, and 0.9999999999..........

Then there is no such thing as infinity.

Are you being serious or are you just trolling and being an ass and watching people clamber to give you all of the evidence of something that's obvious anyways? If you're not kidding, I thought you were smarter than that. If you are trolling, then I commend you, because this thread has gone through twenty-five pages of (presumably) people trying to prove this mathematical fact...

~D-Draw

#### Parsifal

• Official Member
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##### Re: .99999 does not equal 1
« Reply #491 on: August 23, 2008, 10:46:56 PM »
Are you being serious or are you just trolling and being an ass and watching people clamber to give you all of the evidence of something that's obvious anyways? If you're not kidding, I thought you were smarter than that. If you are trolling, then I commend you, because this thread has gone through twenty-five pages of (presumably) people trying to prove this mathematical fact...

~D-Draw

It's Narcberry. He's trolling.
I'm going to side with the white supremacists.

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#### cbarnett97

• 2746
##### Re: .99999 does not equal 1
« Reply #492 on: August 23, 2008, 10:57:15 PM »
People are still posting Here?
Only 2 things are infinite the universe and human stupidity, but I am not sure about the former.

#### Parsifal

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##### Re: .99999 does not equal 1
« Reply #493 on: August 23, 2008, 10:57:57 PM »
People are still posting Here?

What is most amusing about that is that you had to post here to say that.
I'm going to side with the white supremacists.

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#### narcberry

• 5570
• Reason > RET
##### Re: .99999 does not equal 1
« Reply #494 on: August 23, 2008, 11:01:00 PM »
Think of it this way:

the difference between 0.99 and 1 is 0.01
the difference between 0.9999999999 is 0.0000000001
the more 9's there are, the closer to zero the difference becomes

if there are an infinite number of 9's, the difference is infinitely close to zero.

now, ladies and gentlemen, how big is a number infinitely close to zero?
hint: it's fucking zero!

In other words, there is zero difference between 1, and 0.9999999999..........

Then there is no such thing as infinity.

Are you being serious or are you just trolling and being an ass and watching people clamber to give you all of the evidence of something that's obvious anyways? If you're not kidding, I thought you were smarter than that. If you are trolling, then I commend you, because this thread has gone through twenty-five pages of (presumably) people trying to prove this mathematical fact...

~D-Draw

Of course I'm serious. And the only reason there are 25 pages is because it isn't a fact, and no one has been able to show otherwise!

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#### zeroply

• 391
• Flat Earth believer
##### Re: .99999 does not equal 1
« Reply #495 on: August 24, 2008, 08:08:38 AM »

Of course I'm serious. And the only reason there are 25 pages is because it isn't a fact, and no one has been able to show otherwise!

Well, your question is too ambiguous. You haven't said what type of numbers 0.999.. and 1 are. The square root of infinity might make no sense to someone who works with real numbers, but it's perfectly well-defined if you're working with surreals.

IF you cobbled together a definition based on decimal expansions, for example based as a sequence (a,b1,b2,b3,...) of integers, and worked from there, sure, you could get to where (1,0,0,0,..) != (0,9,9,9,...) But you wouldn't have many of the useful properties of the reals, such as bijective correspondence to the number line. Almost every undergrad analysis student thinks of this as an alternative to the cumbersome buildup of the reals from Peano axioms through Dedekind cuts or Cauchy sequences.

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#### narcberry

• 5570
• Reason > RET
##### Re: .99999 does not equal 1
« Reply #496 on: August 24, 2008, 05:18:07 PM »
All you can do is define what you would do within a finite space. So for any finite x, you would know the digit, and it would be 9. You cannot know that this goes on forever, as that is now combining to uncombinable spaces. Ie, x cannot be infinity, something that is required for 0.999... = 1.

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#### Ambiguous Individual

• 181
##### Re: .99999 does not equal 1
« Reply #497 on: August 24, 2008, 06:18:27 PM »
All you can do is define what you would do within a finite space.
You cannot know that this goes on forever, as that is now combining to uncombinable spaces.
Ie, x cannot be infinity, something that is required for 0.999... = 1.
simply stating there can't be infinite 9's doesn't make it so.
So for any finite x, you would know the digit, and it would be 9.
but it's not finite.

Infinite is a valid mathematical idea.

If you don't agree, then what's down the biggest number? write it down.

Now, multiply that number by two.
See where I'm going?

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#### narcberry

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##### Re: .99999 does not equal 1
« Reply #498 on: August 24, 2008, 06:21:52 PM »
Okay idiot.
In context of zeroply's post, whom I was speaking to, please tell me what the infinity digit of pi is.

#### Roundy the Truthinessist

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##### Re: .99999 does not equal 1
« Reply #499 on: August 24, 2008, 06:33:15 PM »
It's impossible to know the infinity digit of pi; it doesn't really have an answer.  But the infinity digit of .999... is self-evident.
Where did you educate the biology, in toulet?

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#### narcberry

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##### Re: .99999 does not equal 1
« Reply #500 on: August 24, 2008, 07:15:56 PM »
It's impossible to know the infinity digit of pi; it doesn't really have an answer.  But the infinity digit of .999... is self-evident.

It seems self evident, but it actually is not. You can only say a finite digit of .999 is 9.

#### Parsifal

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##### Re: .99999 does not equal 1
« Reply #501 on: August 24, 2008, 07:22:11 PM »
It seems self evident, but it actually is not. You can only say a finite digit of .999 is 9.

But if there is no limit on how high n can be (where n is the number of digits after the radix point) while the digit corresponding to n is still 9, then surely we're just arguing semantics?
I'm going to side with the white supremacists.

#### cmdshft

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##### Re: .99999 does not equal 1
« Reply #502 on: August 24, 2008, 07:24:14 PM »
(1/3) = .33333333...
(1/3)*3=1
(1/3)+(1/3)+(1/3)=1
(.3333333...)+(.3333333...)+(.3333333...)=1
(.3333333...)+(.3333333...)+(.3333333...)=(.999999...)
(.9999999...)=1

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#### narcberry

• 5570
• Reason > RET
##### Re: .99999 does not equal 1
« Reply #503 on: August 24, 2008, 07:31:56 PM »
But if there is no limit on how high n can be (where n is the number of digits after the radix point) while the digit corresponding to n is still 9, then surely we're just arguing semantics?

Consider a line as a set of n segments of equal size. The following formula calculates the length of the line based on n:

Length = n * segmentlength

For any finite n, you will get the exact length of the line, but once you try to use infinity, you will get 0. This is because you cannot use a an infinity in such contexts, as also demonstrated by the "give me the infinity digit of pi". You cannot know the infinity digit or 0.999... but require it to be 9 for 0.999... to equal 1.

#### Roundy the Truthinessist

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##### Re: .99999 does not equal 1
« Reply #504 on: August 24, 2008, 07:36:03 PM »
But if there is no limit on how high n can be (where n is the number of digits after the radix point) while the digit corresponding to n is still 9, then surely we're just arguing semantics?

Consider a line as a set of n segments of equal size. The following formula calculates the length of the line based on n:

Length = n * segmentlength

For any finite n, you will get the exact length of the line, but once you try to use infinity, you will get 0. This is because you cannot use a an infinity in such contexts, as also demonstrated by the "give me the infinity digit of pi". You cannot know the infinity digit or 0.999... but require it to be 9 for 0.999... to equal 1.

This isn't practical math, it's number theory, and the number .999... is defined as an infinite number of 9s after the decimal point.  Therefore, the infinity digit must be 9, because it's defined to be 9.
Where did you educate the biology, in toulet?

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#### narcberry

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##### Re: .99999 does not equal 1
« Reply #505 on: August 24, 2008, 07:37:49 PM »
Whats the infinity digit of pi?

#### Roundy the Truthinessist

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##### Re: .99999 does not equal 1
« Reply #506 on: August 24, 2008, 07:39:14 PM »
lol
Where did you educate the biology, in toulet?

#### cmdshft

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##### Re: .99999 does not equal 1
« Reply #507 on: August 24, 2008, 07:39:37 PM »
(1/3) = .33333333...
(1/3)*3=1
(1/3)+(1/3)+(1/3)=1
(.3333333...)+(.3333333...)+(.3333333...)=1
(.3333333...)+(.3333333...)+(.3333333...)=(.999999...)
(.9999999...)=1

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#### narcberry

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• Reason > RET
##### Re: .99999 does not equal 1
« Reply #508 on: August 24, 2008, 07:40:22 PM »

#### Roundy the Truthinessist

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• I'm the boss.
##### Re: .99999 does not equal 1
« Reply #509 on: August 24, 2008, 07:41:40 PM »
The infinity digit of pi is not defined in the number itself.
Where did you educate the biology, in toulet?