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.99999 does not equal 1

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Mrs. Peach

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Re: .99999 does not equal 1
« Reply #150 on: August 12, 2008, 10:23:19 AM »
Mrs. Peach’s take on .99999 does not equal 1:

It would all depend.  8)
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Crudblud

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Re: .99999 does not equal 1
« Reply #151 on: August 12, 2008, 10:30:37 AM »
Quote from: hotttttttttmale on August 12, 2008, 10:21:23 AM
SINCE YOU GUYS DIDNT READ ME POST, ILL DO IT AGAIN!!!!!!

Here's how this works; I will count to ten, and by the time I am done, you will fuck off.
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Trekky0623

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Re: .99999 does not equal 1
« Reply #152 on: August 12, 2008, 10:34:04 AM »
If there were a finite series of 9's, then the number would be close to 1.  However, since there are and infinite number of nines, the number 0.999... is infinitely close to 1.  Therefore it is 1.  If it were just "close", then there would have to a finite number of nines, which there are not.  We're talking about an infinite series of nines.

0.9 ≠ 1
0.999 ≠ 1
0.99999999999999999999999999999999999999999999999999999999 ≠ 1
0.999... = 1
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mayhem

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Re: .99999 does not equal 1
« Reply #153 on: August 12, 2008, 10:53:57 AM »
Quote from: Trekky0623 on August 12, 2008, 10:34:04 AM
If there were a finite series of 9's, then the number would be close to 1.  However, since there are and infinite number of nines, the number 0.999... is infinitely close to 1.  Therefore it is 1.  If it were just "close", then there would have to a finite number of nines, which there are not.  We're talking about an infinite series of nines.

0.9 ≠ 1
0.999 ≠ 1
0.99999999999999999999999999999999999999999999999999999999 ≠ 1
0.999... = 1

Wouldn't your example simply mean the infinte number of 9's is infintesmally less than 1?  A negligible difference that ig generally negated and rounded to 1, but still...it's not 1, otherwise it would be called 1, not 0.999...
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Parsifal

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Re: .99999 does not equal 1
« Reply #154 on: August 12, 2008, 10:54:04 AM »
It's because of things like this that Roundy should be a mod. ::)
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Quote from: Ævan on August 11, 2013, 01:18:20 PM
I'm going to side with the white supremacists.
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Roundy the Truthinessist

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Re: .99999 does not equal 1
« Reply #155 on: August 12, 2008, 10:55:39 AM »
Quote from: Robosteve on August 12, 2008, 10:54:04 AM
It's because of things like this that Roundy should be a mod. ::)

QFT
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Quote from: wise on August 21, 2018, 11:47:45 PM
Where did you educate the biology, in toulet?
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Crudblud

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Re: .99999 does not equal 1
« Reply #156 on: August 12, 2008, 10:57:07 AM »
Quote from: hotttttttttmale on August 12, 2008, 10:45:47 AM
SINCE YOU GUYS DIDNT READ ME POST, ILL DO IT AGAIN!!!!!!

Since you didn't read my post and kindly GTFO, I'll say it again.

I will count to ten, and by the time I am done, you will fuck off.
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cmdshft

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Re: .99999 does not equal 1
« Reply #157 on: August 12, 2008, 11:15:54 AM »
Please, consult your scientific calculator's, and perform the following keystrokes:

(1/3)=                    <-- This result should display 0.33333333333333333
(([result])*3)=         <-- This result should equal 1.

Then, perform the following:

(1/3)=
(([result])+(1/3))=     <-- This result should display 0.6666666666666666
(([result])+(1/3))=     <-- This result should equal 1.

If you performed this, you just proved that .999999999...=1

So, knowing that (1/3)=0.3333333333333..., then it is easy to conclude that(0.3333333333...)*3 =  (0.999999999999...) = 1, which is the same as (0.3333333333...) + (0.3333333333...) + (0.3333333333...) = (0.999999999999...) = 1.
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Jack

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Re: .99999 does not equal 1
« Reply #158 on: August 12, 2008, 11:28:38 AM »
Quote from: divito the truthist on August 12, 2008, 10:16:34 AM
Quote from: Jack. on August 11, 2008, 09:21:07 PM
Thus, since 0.999... has infinite 9s, the error becomes so small that it literally becomes negligible. Thus, they are equal.

Negligible does not erase that the error still exists, no matter how small it ends up being. Regardless if it is approximately one, if you were dealing with extreme accuracy, it does not equate to 1. "Just as good as," or "the only sensible option" are phrases that are used on purpose because they are not 100% equal.
However, as the article says, the error becomes 10X smaller for each 9s. Since 0.999... has infinite 9s, the probability of getting the error also becomes infinite. The error is not just small; it is infinitely small so that it literally becomes non-existent.  Thus, we can safely say the error is negligible, because we can't possibly "reach" it (the infinite "finish line"). If 0.999... is finite, then we could say it is close to 1 or, using your terms, "just as good as" 1. Of course, we are not talking about finite 0.999s.
« Last Edit: August 12, 2008, 11:46:15 AM by Jack. »
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Jack

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Re: .99999 does not equal 1
« Reply #159 on: August 12, 2008, 11:44:20 AM »
Quote from: wikipedia
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.
    * 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".
    * 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.
    * 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.

These ideas are mistaken in the context of the standard real numbers, although some may be valid in other number systems, either invented for their general mathematical utility or as instructive counterexamples to better understand 0.999….
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Wendy

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Re: .99999 does not equal 1
« Reply #160 on: August 12, 2008, 11:50:24 AM »
lol, thick students.
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Quote from: Wendy on December 31, 1969, 04:00:00 PM
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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Trekky0623

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Re: .99999 does not equal 1
« Reply #161 on: August 12, 2008, 12:00:20 PM »
1 - 0.9 = 0.1

1 - 0.99 = 0.01

1 - 0.999... = 0.000... = 0

1 - 0.999... = 0

1 = 0.999...
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Roundy the Truthinessist

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Re: .99999 does not equal 1
« Reply #162 on: August 12, 2008, 12:01:33 PM »
I feel like the smiley at the bottom of your sig in this thread, Trekky.
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Quote from: wise on August 21, 2018, 11:47:45 PM
Where did you educate the biology, in toulet?
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Trekky0623

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Re: .99999 does not equal 1
« Reply #163 on: August 12, 2008, 12:03:04 PM »
:D
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Wendy

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Re: .99999 does not equal 1
« Reply #164 on: August 14, 2008, 02:47:05 AM »
I refuse to accept that this dead horse has been sufficiantly kicked yet, and therefore, I switch sides. Infinite amounts of numbers are impossible, therefore this is wrong.
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Quote from: Wendy on December 31, 1969, 04:00:00 PM
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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Parsifal

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Re: .99999 does not equal 1
« Reply #165 on: August 14, 2008, 06:20:34 AM »
Quote from: Hara Taiki on August 12, 2008, 11:15:54 AM
(([result])+(1/3))=     <-- This result should display 0.6666666666666667

Fixed.
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Quote from: Ævan on August 11, 2013, 01:18:20 PM
I'm going to side with the white supremacists.
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cmdshft

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Re: .99999 does not equal 1
« Reply #166 on: August 14, 2008, 06:40:11 AM »
Quote from: Robosteve on August 14, 2008, 06:20:34 AM
Quote from: Hara Taiki on August 12, 2008, 11:15:54 AM
(([result])+(1/3))=     <-- This result should display 0.6666666666666667

Fixed.

Wrong. That's if the calculator rounded it off. But it doesn't so the display is correct.
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Raist

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Re: .99999 does not equal 1
« Reply #167 on: August 14, 2008, 06:54:55 AM »
Quote from: Hara Taiki on August 14, 2008, 06:40:11 AM
Quote from: Robosteve on August 14, 2008, 06:20:34 AM
Quote from: Hara Taiki on August 12, 2008, 11:15:54 AM
(([result])+(1/3))=     <-- This result should display 0.6666666666666667

Fixed.

Wrong. That's if the calculator rounded it off. But it doesn't so the display is correct.
The rounding on the entire equation cancels itself out. Calculators have to round, infinite ram is hard to come by.
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Parsifal

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Re: .99999 does not equal 1
« Reply #168 on: August 14, 2008, 06:56:15 AM »
Quote from: Hara Taiki on August 14, 2008, 06:40:11 AM
Quote from: Robosteve on August 14, 2008, 06:20:34 AM
Quote from: Hara Taiki on August 12, 2008, 11:15:54 AM
(([result])+(1/3))=     <-- This result should display 0.6666666666666667

Fixed.

Wrong. That's if the calculator rounded it off. But it doesn't so the display is correct.

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Quote from: Ævan on August 11, 2013, 01:18:20 PM
I'm going to side with the white supremacists.
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Wendy

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Re: .99999 does not equal 1
« Reply #169 on: August 14, 2008, 06:58:50 AM »
That's not very scientific, is it?
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Quote from: Wendy on December 31, 1969, 04:00:00 PM
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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Parsifal

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Re: .99999 does not equal 1
« Reply #170 on: August 14, 2008, 07:04:04 AM »
Quote from: Wendigo on August 14, 2008, 06:58:50 AM
That's not very scientific, is it?

It kicks Windows' calculator's ass.
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Quote from: Ævan on August 11, 2013, 01:18:20 PM
I'm going to side with the white supremacists.
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Wendy

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Re: .99999 does not equal 1
« Reply #171 on: August 14, 2008, 07:09:58 AM »
I just meant the fact that it rounds up, when it could just say "0.666..." ::)
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Quote from: Wendy on December 31, 1969, 04:00:00 PM
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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Parsifal

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Re: .99999 does not equal 1
« Reply #172 on: August 14, 2008, 07:14:16 AM »
Quote from: Wendigo on August 14, 2008, 07:09:58 AM
I just meant the fact that it rounds up, when it could just say "0.666..." ::)

It still kicks Windows' calculator's ass.
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Quote from: Ævan on August 11, 2013, 01:18:20 PM
I'm going to side with the white supremacists.
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Wendy

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Re: .99999 does not equal 1
« Reply #173 on: August 14, 2008, 07:15:36 AM »
It has a couple of features that aren't in the windows calculator, yes. But that's not the point, is it? I just said it's not very scientific. ::)
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Quote from: Wendy on December 31, 1969, 04:00:00 PM
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.
?

fmrl

Re: .99999 does not equal 1
« Reply #174 on: August 14, 2008, 07:21:00 AM »
In my opinion, the problem with mathematics is that it's all the product of the imagination.  It may be beautiful, it may relate to things in the real world, but it has no tangible existence in and of itself; it's all in the mind.  It does however allow us to have protracted meaningless discussions whilst believing they are not meaningless. :)
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Trekky0623

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Re: .99999 does not equal 1
« Reply #175 on: August 14, 2008, 07:25:34 AM »
Google Calculator rules.  What other scientific calculator does this?!

« Last Edit: August 14, 2008, 07:30:45 AM by Trekky0623 »
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Raist

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Re: .99999 does not equal 1
« Reply #176 on: August 14, 2008, 07:27:51 AM »
what the hell. that is awesome. Check to see if it's a prime number.
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Parsifal

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Re: .99999 does not equal 1
« Reply #177 on: August 14, 2008, 07:31:59 AM »
More to the point:

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Quote from: Ævan on August 11, 2013, 01:18:20 PM
I'm going to side with the white supremacists.
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Raist

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Re: .99999 does not equal 1
« Reply #178 on: August 14, 2008, 07:33:03 AM »
That is fucking sweet.
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Wendy

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Re: .99999 does not equal 1
« Reply #179 on: August 14, 2008, 07:34:52 AM »
m / kg s isn't even logical... I think. O_o
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Quote from: Wendy on December 31, 1969, 04:00:00 PM
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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