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the_almighty_spehornoob
Joined: Sep 22 2008
Posts: 289
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So, I recently found out about the whole math geek controversy about this. Apparently, 0.999... (that is, .999 with the 9 repeating an infinite amount of times) is actually mathematically equal to one. I'm no math genius, but I still find this rather interesting.
PROOF 1:
let x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1
0.999... = 1
PROOF 2:
1/3 = 0.333...
3 * 1/3 = 3 * 0.333...
3/3 = 0.999...
1 = 0.999...
Yeah, I'll admit it. I'm a total geek.
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anorexorcist
Title: Polar Bear
Joined: May 21 2008
Location: The Cock and Plucket
Posts: 2131
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1 + 1 = window
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 Lawyers, Guns and Money |
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the_almighty_spehornoob
Joined: Sep 22 2008
Posts: 289
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| anorexorcist wrote: |
| 1 + 1 = window |
*HEAD ASPLODE*
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ReeperTheSeeker
Joined: Aug 26 2007
Posts: 2752
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High Speed Internet + Google Image Search = Free +9000 topless women / second
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anorexorcist
Title: Polar Bear
Joined: May 21 2008
Location: The Cock and Plucket
Posts: 2131
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E = MC Hammer
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Lawyers, Guns and Money |
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UsaSatsui
Title: The White Rabbit
Joined: May 25 2008
Location: Hiding
Posts: 7565
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THERE ARE FOUR LIGHTS!
And your proofs are wrong. .999... times 10 does not equal 9.999..., and .333... x 3 does not equal .999... either.
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the_almighty_spehornoob
Joined: Sep 22 2008
Posts: 289
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| UsaSatsui wrote: |
THERE ARE FOUR LIGHTS!
And your proofs are wrong. .999... times 10 does not equal 9.999..., and .333... x 3 does not equal .999... either. |
EXPLAIN DAMN IT!
I told you, I ain't a math genius. I don't see why .333 * 3 doesn't equal .999....
There's even a wiki page on the subject.
http://en.wikipedia.org/wiki/0.999..._%3D_1
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Lady_Satine
Title: Head of Lexian R&D
Joined: Oct 15 2005
Location: Metro area, Georgia
Posts: 7287
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I remember Danica McKeller (Whinny Cooper) showed how .9 (repeating) equalled 1 on Attack of the Show, but damn if I can't find the clip.
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"Life is a waste of time. Time is a waste of life. Get wasted all the time, and you'll have the time of your life!" |
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UsaSatsui
Title: The White Rabbit
Joined: May 25 2008
Location: Hiding
Posts: 7565
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.333... is just a means of writing out 1/3 in decimal form, and it's not precise, because .333 infinitely repeats. You can't really do any math with it. You need to do the math with the fractions for it to turn out right.
.999..., however, is close enough to 1 that they may as well be the same thing. You can't put any numbers between them no matter how hard you try, and as far as I know, you can't represent .999... in fractional notation...the closest you can get is 1/1...or 1. If you ever needed to do math with .999... (very doubtful), you'd be stuck using 1. That doesn't make them the same, or equal. Infinity is something that's hard to wrap one's head around, and even harder to put down on a piece of paper.
Of course, those friggin mathematics people can make imaginary numbers, so I'm not going any further into it. They probably found a way to do it that makes sense to them and maybe 12 other people.
EDIT: Fuckit, I don't know what I'm talking about. The talk page of that Wikipedia article has a FAQ about it.
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Lady_Satine
Title: Head of Lexian R&D
Joined: Oct 15 2005
Location: Metro area, Georgia
Posts: 7287
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| UsaSatsui wrote: |
| They probably found a way to do it that makes sense to them and maybe 12 other people. |
It's called the Dennis Miller quotient.
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"Life is a waste of time. Time is a waste of life. Get wasted all the time, and you'll have the time of your life!" |
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Tyop
Title: Grammar Nazi
Joined: May 04 2008
Location: Sauerkrautland
Posts: 1414
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2 + 2 = 5 for large values of 2 or small values of 5.
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UsaSatsui
Title: The White Rabbit
Joined: May 25 2008
Location: Hiding
Posts: 7565
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| Tyop wrote: |
| 2 + 2 = 5 for large values of 2 or small values of 5. |
Of if Big Brother says it is.
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Mitch
Joined: Jun 04 2008
Location: Alabama
Posts: 296
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A real proof relies on calculus. Why? because the "..." means repeat indefinitely, i.e., suggests a limit.
formally, .9999... = .9 + .09 + .009 + ... = (sum from n=1 to infinity) 9/(10^n) = 9*(sum from n=1 to infinity) 1/(10^n)
The last sum mentioned is equal to 1/9, (the very concept of an infinite sum is part of calculus. Therefore, calculus is required to prove this - if you want to see a detailed proof, I will be glad to provide one).
Therefore, .9999... = 9*(1/9) = 1. Q.E.D. (sort of)
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Ghandi
Title: Alexz Aficionado
Joined: May 21 2008
Posts: 2889
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Nah, those people just can't count correctly. So they gotta to prove to us all they can't do it.
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Richthofen
Title: Penguin Molester
Joined: Oct 13 2008
Location: Canada
Posts: 10
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Proof of 0.999...=1:
0.999...= 9/10 + 9/100 + ...=
9(0.1 + 0.01+ 0.001...)=>
let a= 0.1
and b= a + a^2 + a^3 + ... a^n
then ab= a^2 + a^3 +... a^n
then b-ab= b-0.1b=0.9b= a
then b= 1/9
Thus, 9(0.1 + 0.01 + 0.001...)= 9b= 1
Implies 0.999...= 0/10 + 9/100 + ...= 1
Therefore, 0.999...=1
Q.E.D. BITCHES.
Yes, I am majoring in Math and Physics. I am thus a nerd. (This is sad, I know).
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Nekkoru
Title: Polish Pickle Wench
Joined: Jan 25 2008
Location: Warsaw, Poland
Posts: 1319
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Actually, unless European math differs in some way from your American math, we write it down like this:
x = 0,(9)
10x=9,(9) [We move the decimal one digit to the right]
10x-x=9,(9) - 0,(9)
9x = 9 | /9 [Dividing both sides by nine]
x = 1
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You should totally check out the IRC channel.
While you're at it, go check out my band, Her Majesty's Heroines.
| Cameron wrote: |
I now bestow upon you the title of Most Awesome Person.  |
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Richthofen
Title: Penguin Molester
Joined: Oct 13 2008
Location: Canada
Posts: 10
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Europeans are crazy with their commas for decimal points and their random brackets.
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Nekkoru
Title: Polish Pickle Wench
Joined: Jan 25 2008
Location: Warsaw, Poland
Posts: 1319
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Yeah, but it's the old world (mainly: Greece, Mesopotamia, Egypt) that invented math. Suck on it, yankees.
In before, Aztecs. They used time-travelling methods to steal such things as potatoes and corn from us, hard-working europeans and bring them back to their land, thus altering history forever.
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You should totally check out the IRC channel.
While you're at it, go check out my band, Her Majesty's Heroines.
| Cameron wrote: |
| I now bestow upon you the title of Most Awesome Person. |
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Richthofen
Title: Penguin Molester
Joined: Oct 13 2008
Location: Canada
Posts: 10
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The old world also used crazy things like metric time.
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Nekkoru
Title: Polish Pickle Wench
Joined: Jan 25 2008
Location: Warsaw, Poland
Posts: 1319
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Still, as a Canadian, you (sterotypically) must hate the US in every way imaginable, so let's (stereotypically) tell them that what they call "soccer" is in fact "football", and what they call "football" is in fact called "rugby". Also, let's (stereotypically) boast your advanced social laws, such as gay marriage. And don't forget to (stereotypically) put maple syrup on everything. Yummy!
Still, your gay marriage laws are pretty damn sweet.
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You should totally check out the IRC channel.
While you're at it, go check out my band, Her Majesty's Heroines.
| Cameron wrote: |
| I now bestow upon you the title of Most Awesome Person. |
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Tyop
Title: Grammar Nazi
Joined: May 04 2008
Location: Sauerkrautland
Posts: 1414
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| Richthofen wrote: |
| The old world also used crazy things like metric time. |
I'm still kinda sad that decimal time with the Swatch Internet Time and its .beat unit didn't catch on.
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Syd Lexia
Site Admin
Title: Pop Culture Junkie
Joined: Jul 30 2005
Location: Wakefield, MA
Posts: 24887
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Dr. Jeebus
Moderator
Title: SLF Harbinger of Death
Joined: Sep 03 2005
Location: Wakefield, MA
Posts: 5228
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| Nekkoru wrote: |
Yeah, but it's the old world (mainly: Greece, Mesopotamia, Egypt) that invented math. Suck on it, yankees.
In before, Aztecs. They used time-travelling methods to steal such things as potatoes and corn from us, hard-working europeans and bring them back to their land, thus altering history forever. |
No one invented math. Math has always existed and is a part of nature. All man ever did was find a way to express it.
| Syd Lexia wrote: |
| 1 + 1 = McGuirk. |
1 + 2 = She's hot.
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dr.jeebus.sydlexia.com - Updated sometimes, but on hiatus!
| UsaSatsui wrote: |
| The three greatest heels in history...Andy Kaufman, Triple H, and Dr. Jeebus |
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GPFontaine
Joined: Dec 06 2007
Location: Connecticut
Posts: 11244
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That made the most sense out of all of the examples.
Also the argument is not that 1 is close to 0.999...
The argument is that 1 actually equals 0.999...
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Ghandi
Title: Alexz Aficionado
Joined: May 21 2008
Posts: 2889
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I'll take 0.999... of a puzzle of the Eiffel Tower please 
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