.99999 does not equal 1

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #660 on: September 11, 2008, 11:49:43 PM »

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Parsifal

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Re: .99999 does not equal 1
« Reply #661 on: September 11, 2008, 11:50:08 PM »
I'm going to side with the white supremacists.

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WardoggKC130FE

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Parsifal

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Re: .99999 does not equal 1
« Reply #663 on: September 11, 2008, 11:52:49 PM »
I'm going to side with the white supremacists.

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Jack

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Re: .99999 does not equal 1
« Reply #664 on: September 11, 2008, 11:54:40 PM »
More floating ocean threads, pleaze.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #665 on: September 11, 2008, 11:57:12 PM »
Does .999 equal 1.0?

No.

Does .99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
999999999999999999999999999999999999 equal 1.0?

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Parsifal

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Re: .99999 does not equal 1
« Reply #666 on: September 12, 2008, 12:17:11 AM »
Does .99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
999999999999999999999999999999999999 equal 1.0?

No.
I'm going to side with the white supremacists.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #667 on: September 12, 2008, 12:18:43 AM »
Keep adding a 9 to that number and tell me when the answer becomes yes.

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Parsifal

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Re: .99999 does not equal 1
« Reply #668 on: September 12, 2008, 12:19:17 AM »
Keep adding a 9 to that number and tell me when the answer becomes yes.

Never.
I'm going to side with the white supremacists.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #669 on: September 12, 2008, 12:21:15 AM »
Since to have an infinite number of 9s simply means that no matter how large the number of finite 9s you count, there will always be at least one more,

Thank you for proving my point.  There will always be one more 9.



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Parsifal

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Re: .99999 does not equal 1
« Reply #670 on: September 12, 2008, 12:21:47 AM »
You don't seem to understand what the notation "0.999..." means.
I'm going to side with the white supremacists.

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dyno

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Re: .99999 does not equal 1
« Reply #671 on: September 12, 2008, 12:23:34 AM »
Why don't you just ask yourself what your limit of accuracy needs to be?

0.9 with 10^99 nines isn't = 1 but would it be accurate enough for your purpose? Whatever that is?

Even if something is not equal, you may be able to consider it equal depending on your problem.


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Jack

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Re: .99999 does not equal 1
« Reply #672 on: September 12, 2008, 12:24:39 AM »
More floating ocean threads, pleaze.

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Parsifal

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Re: .99999 does not equal 1
« Reply #673 on: September 12, 2008, 12:27:12 AM »
Why don't you just ask yourself what your limit of accuracy needs to be?

0.9 with 10^99 nines isn't = 1 but would it be accurate enough for your purpose? Whatever that is?

Even if something is not equal, you may be able to consider it equal depending on your problem.

For the purposes of this discussion, I am speaking of absolute equality.
I'm going to side with the white supremacists.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #674 on: September 12, 2008, 12:28:49 AM »
Keep adding a 9 to that number and tell me when the answer becomes yes.

Never.
You don't seem to understand what the notation "0.999..." means.
Since to have an infinite number of 9s simply means that no matter how large the number of finite 9s you count, there will always be at least one more,

Thank you for proving my point.  There will always be one more 9.



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Parsifal

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Re: .99999 does not equal 1
« Reply #675 on: September 12, 2008, 12:30:01 AM »
0.999... does not belong in the sequence to which this post referred:

Keep adding a 9 to that number and tell me when the answer becomes yes.

Never.
I'm going to side with the white supremacists.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #676 on: September 12, 2008, 12:31:04 AM »
0.999... does not belong in the sequence to which this post referred:

Keep adding a 9 to that number and tell me when the answer becomes yes.

Never.

.999... does not equal an infinite number of 9s?

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Parsifal

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Re: .99999 does not equal 1
« Reply #677 on: September 12, 2008, 12:31:42 AM »
.999... does not equal an infinite number of 9s?

It does. That is why it does not belong in a sequence of numbers which all contain finite numbers of 9s.
I'm going to side with the white supremacists.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #678 on: September 12, 2008, 12:35:00 AM »
Keep adding a 9 to that number and tell me when the answer becomes yes.

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Parsifal

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Re: .99999 does not equal 1
« Reply #679 on: September 12, 2008, 01:26:37 AM »
Keep adding a 9 to that number and tell me when the answer becomes yes.

No matter how many 9s are added, there is still a finite number of them, and it does not equal 1.
I'm going to side with the white supremacists.

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Dr Matrix

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Re: .99999 does not equal 1
« Reply #680 on: September 12, 2008, 02:04:10 AM »
Wardogg, Osama is actually correct on this one, sorry... Wiki even has an article specifically on this problem.

Quote from: http://en.wikipedia.org/wiki/0.999...
In other words, the notations "0.999…" and "1" represent the same real number.
Quote from: Arthur Schopenhauer
All truth passes through three stages. First, it is ridiculed. Second, it is violently opposed. Third, it is accepted as being self-evident.

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Sean O'Grady

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Re: .99999 does not equal 1
« Reply #681 on: September 12, 2008, 02:44:25 AM »
Does 0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 equal 1?

Keep adding a 9 to that number and tell me when the answer becomes yes.

9.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

nope

18.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

nope

27.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

nope

36.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

nope

45.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

nope

54.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

nope

63.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

nope

81.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

...shit, I add two 9s at the same time. My bad.

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Dr Matrix

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Re: .99999 does not equal 1
« Reply #682 on: September 12, 2008, 03:18:46 AM »
Fail
Quote from: Arthur Schopenhauer
All truth passes through three stages. First, it is ridiculed. Second, it is violently opposed. Third, it is accepted as being self-evident.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #683 on: September 12, 2008, 07:35:48 AM »
Then why did you post this?


.99999999...... does not equal 1.  No matter how infinitely small the gap between .999999..... and 1 gets, it will never get there due to its infinite nature.

Wrong.

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Sean O'Grady

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Re: .99999 does not equal 1
« Reply #684 on: September 12, 2008, 07:46:48 AM »
Then why did you post this?


.99999999...... does not equal 1.  No matter how infinitely small the gap between .999999..... and 1 gets, it will never get there due to its infinite nature.

Wrong.

Because zero point a finite number of nines does not equal zerio point an infinite number of nines. It's not that hard to understand.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #685 on: September 12, 2008, 07:52:20 AM »
Then why did you post this?


.99999999...... does not equal 1.  No matter how infinitely small the gap between .999999..... and 1 gets, it will never get there due to its infinite nature.

Wrong.


Because zero point a finite number of nines does not equal zerio point an infinite number of nines. It's not that hard to understand.

I agree.

.999.... does not equal 1 there is ALWAYS one more 9.

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Jack

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Re: .99999 does not equal 1
« Reply #686 on: September 12, 2008, 07:56:14 AM »
Learn the definition of infinite.

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WardoggKC130FE

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Re: .99999 does not equal 1
« Reply #687 on: September 12, 2008, 07:57:41 AM »
Learn the definition of infinite.

It goes on forever without stopping.

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Dr Matrix

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Re: .99999 does not equal 1
« Reply #688 on: September 12, 2008, 07:59:20 AM »
Wardogg, Osama is actually correct on this one, sorry... Wiki even has an article specifically on this problem.

Quote from: http://en.wikipedia.org/wiki/0.999...
In other words, the notations "0.999…" and "1" represent the same real number.

Also:

Quote from: http://en.wikipedia.org/wiki/0.999...

Skepticism in education


Students of mathematics often reject the equality of 0.999… and 1, for reasons ranging from their disparate appearance to deep misgivings over the limit concept and disagreements over the nature of infinitesimals. There are many common contributing factors to the confusion:

    * Students are often "mentally committed to the notion that a number can be represented in one and only one way by a decimal." Seeing two manifestly different decimals representing the same number appears to be a paradox, which is amplified by the appearance of the seemingly well-understood number 1.[33]
    * Some students interpret "0.999…" (or similar notation) as a large but finite string of 9s, possibly with a variable, unspecified length. If they accept an infinite string of nines, they may still expect a last 9 "at infinity".[34]
    * Intuition and ambiguous teaching lead students to think of the limit of a sequence as a kind of infinite process rather than a fixed value, since a sequence need not reach its limit. Where students accept the difference between a sequence of numbers and its limit, they might read "0.999…" as meaning the sequence rather than its limit.[35]
    * Some students regard 0.999… as having a fixed value which is less than 1 by an infinitesimal but non-zero amount.
    * Some students believe that the value of a convergent series is at best an approximation, that 0.999... \approx 1.


You're not the only one that has this conceptual difficulty wardogg, but you have to accept that you are wrong.
Quote from: Arthur Schopenhauer
All truth passes through three stages. First, it is ridiculed. Second, it is violently opposed. Third, it is accepted as being self-evident.

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Jack

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Re: .99999 does not equal 1
« Reply #689 on: September 12, 2008, 08:03:20 AM »
It goes on forever without stopping.
Thus, you can correct your mistake here,

.999.... does not equal 1 there is ALWAYS one more 9.