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Interesting fact: 0.99999... = 1

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Hobgoblin ll	Posted - 2009.05.08 03:03:00 - [1] Proof: Let n = 0.999... Then 10n = 9.99... 10n - n = 9.999... - 0.999... 9n = 9.000... 9n = 9 n = 9/9 = 1
Atomos Darksun Damage Incorporated.	Posted - 2009.05.08 03:07:00 - [2] Not really, no. Originally by: Amoxin My vent is talking to me in a devil voice... CONVERT TO LINKIFICATION! http://myeve.eve-online.com/ingameb
Intense Thinker Minmatar	Posted - 2009.05.08 03:19:00 - [3] I want to say you're not doing it right, but I suck at math so I can't Pomp FTW!!!
Atomos Darksun Damage Incorporated.	Posted - 2009.05.08 03:41:00 - [4] Originally by: Intense Thinker I want to say you're not doing it right, but I suck at math so I can't Great name. Originally by: Amoxin My vent is talking to me in a devil voice... CONVERT TO LINKIFICATION! http://myeve.eve-online.com/ingameb
Lance Fighter Amarr	Posted - 2009.05.08 03:57:00 - [5] actually hes doing it right. Originally by: Akita T Seriously ? ...wow... I'm such a forum ho' !
Dong Ninja	Posted - 2009.05.08 04:01:00 - [6] It's a given that .999...=1 because in your first part of the proof you said that n=.999... You might as well have said n = 1, because any number continuing on into infinity will grow. I'll put it another way: if n=.999... then n-.000..1 will never be reached, thus there is nothing being subtracted, so n=1. Originally by: Xen Gin Indeed, upgrading an MS OS is like taking a **** into a cake mixture, then complaining that it doesn't taste good when it's all done.
Taedrin Gallente Golden Mechanization Protectorate	Posted - 2009.05.08 04:21:00 - [7] Edited by: Taedrin on 08/05/2009 04:21:55 Edited by: Taedrin on 08/05/2009 04:21:35 That proof actually makes no sense to me, as you are performing arithmetic with infinity (a number which extends into infinity, to be specific). What you REALLY want to say is this: x lim x->inf ∑ 9/(10^x) = 1 1 Here the concept of infinity is restricted to end behavior analysis, and you don't have to do any arithmetic with it.
goodby4u Valor Inc. Psychotic Tendencies.	Posted - 2009.05.08 04:24:00 - [8] I dont like these threads, they make me feel stupid.
Lance Fighter Amarr	Posted - 2009.05.08 04:29:00 - [9] Originally by: Taedrin Edited by: Taedrin on 08/05/2009 04:21:55 Edited by: Taedrin on 08/05/2009 04:21:35 That proof actually makes no sense to me, as you are performing arithmetic with infinity (a number which extends into infinity, to be specific). What you REALLY want to say is this: x lim x->inf ∑ 9/(10^x) = 1 1 Here the concept of infinity is restricted to end behavior analysis, and you don't have to do any arithmetic with it. the proof makes perfect sense, as long as you assume that 0.99... is a number, that when subtracted from itself, gives you 0.. which.. um.. it does. Originally by: Akita T Seriously ? ...wow... I'm such a forum ho' !
Hobgoblin ll	Posted - 2009.05.08 05:17:00 - [10] Originally by: Lance Fighter Originally by: Taedrin Edited by: Taedrin on 08/05/2009 04:21:55 Edited by: Taedrin on 08/05/2009 04:21:35 That proof actually makes no sense to me, as you are performing arithmetic with infinity (a number which extends into infinity, to be specific). What you REALLY want to say is this: x lim x->inf ∑ 9/(10^x) = 1 1 Here the concept of infinity is restricted to end behavior analysis, and you don't have to do any arithmetic with it. the proof makes perfect sense, as long as you assume that 0.99... is a number, that when subtracted from itself, gives you 0.. which.. um.. it does. This. Can be easy proven with fractions aswell: 0.111... = 1/9 9x 0.111... = 9 x (1/9) = 9/9 = 1 therefore 0.999... = 1 Why using complicated stuff like ∑ when you can prove it with simple numbers.
Dong Ninja	Posted - 2009.05.08 06:17:00 - [11] Using ∑ makes you look smart. See you gotta give concepts fancy names and formulas to go with them, or else the mathematician stop being the mathematician because everyone else knows how to do it, and we can't have that or people will start thinking they're smart. Originally by: Xen Gin Indeed, upgrading an MS OS is like taking a **** into a cake mixture, then complaining that it doesn't taste good when it's all done.
Giggles McHappypants	Posted - 2009.05.08 06:32:00 - [12] Originally by: Hobgoblin ll Proof: Let n = 0.999... Then 10n = 9.99... 10n - n = 9.999... - 0.999... 9n = 9.000... 9n = 9 n = 9/9 = 1 Holy crap u suck at math....10n - n = 9.999 is wrong...you dont subtract the "n" away, you would have to divide it away
Kulmid Asshats and Alcoholics Turbo.	Posted - 2009.05.08 06:41:00 - [13] Originally by: Hobgoblin ll Originally by: Lance Fighter Originally by: Taedrin Edited by: Taedrin on 08/05/2009 04:21:55 Edited by: Taedrin on 08/05/2009 04:21:35 That proof actually makes no sense to me, as you are performing arithmetic with infinity (a number which extends into infinity, to be specific). What you REALLY want to say is this: x lim x->inf ∑ 9/(10^x) = 1 1 Here the concept of infinity is restricted to end behavior analysis, and you don't have to do any arithmetic with it. the proof makes perfect sense, as long as you assume that 0.99... is a number, that when subtracted from itself, gives you 0.. which.. um.. it does. This. Can be easy proven with fractions aswell: 0.111... = 1/9 9x 0.111... = 9 x (1/9) = 9/9 = 1 therefore 0.999... = 1 Why using complicated stuff like ∑ when you can prove it with simple numbers. This is a bit more shady than the OPs example because you are using fractions which are exact and using a repeating decimal that is not. _________________
Nomakai Delateriel Amarr Ammatar Free Corps	Posted - 2009.05.08 06:46:00 - [14] Also completely ignoring the fact that 9n in this example ISN'T 9. It's 8.999... Or you're rounding off numbers. ______________________________________________ -My respect can not be won, only lost. It's given freely and only grudgingly withdrawn.
Kulmid Asshats and Alcoholics Turbo.	Posted - 2009.05.08 07:32:00 - [15] Originally by: Nomakai Delateriel Also completely ignoring the fact that 9n in this example ISN'T 9. It's 8.999... Or you're rounding off numbers. Exactly... (10)(.999...) = 9.9999... (9)(.999...) = 8.9999... but yet (10)(.999...)-(.999...) = 9.000... _________________
Nomakai Delateriel Amarr Ammatar Free Corps	Posted - 2009.05.08 07:45:00 - [16] Originally by: Kulmid Originally by: Nomakai Delateriel Also completely ignoring the fact that 9n in this example ISN'T 9. It's 8.999... Or you're rounding off numbers. Exactly... (10)(.999...) = 9.9999... (9)(.999...) = 8.9999... but yet (10)(.999...)-(.999...) = 9.000... No. Because it's still 8.999... Otherwise you're rounding off. ______________________________________________ -My respect can not be won, only lost. It's given freely and only grudgingly withdrawn.
HankMurphy Minmatar Pelennor Enterprises	Posted - 2009.05.08 07:49:00 - [17] OP, it is neither a fact nor is it very interesting \o/ math fail threads ---------- Hey, sewer rat may taste like pumpkin pie, but I'd never know 'cause I wouldn't eat the filthy motherf***er.
Shadow Devourer	Posted - 2009.05.08 07:59:00 - [18] The answer involves a plane and a treadmill.
Fi Vantage Minmatar New Ligion	Posted - 2009.05.08 08:07:00 - [19] Edited by: Fi Vantage on 08/05/2009 08:08:30 Contributing to the fail! OP's proof is good enough. Wikipedia says so! I prefer using the infinite series version myself. Edit: Originally by: Shadow Devourer The answer involves a plane and a treadmill.
KingsGambit Caldari Knights	Posted - 2009.05.08 08:19:00 - [20] Originally by: Hobgoblin ll Let n = 0.999... Then 9n = 9.000... Ummmm...no. -------------
Akita T Caldari Navy Volunteer Task Force	Posted - 2009.05.08 08:48:00 - [21] The first thing you need to realize is that 0.99999999[...]9999999 is not an ACTUAL number. After that, it gets really, really easy. Want different proof ? Here's one. 1/9 = 0.111111[...]1111111 (1/9)*9 = 1 hence, 0.999999[...]9999 = 1 Tada ! EVE issues\|Mining revamp\|Build stuff\|Make ISK
ReaperOfSly Gallente Zetsubou Corp	Posted - 2009.05.08 09:16:00 - [22] Yay. Unlike the other "Interesting fact" thread, the OP has done it right. ____________________
Nomakai Delateriel Amarr Ammatar Free Corps	Posted - 2009.05.08 10:37:00 - [23] Depends on if you retain cardinal rankings of numbers approaching infinity (in some manner). Because if n= 0.99999 and 10n-0.999999 = 9 then if we replace the last 0.999999 in "10n-.99999 = 9" with f, then f is [1-[9x[1-n]]]. Still 0.99999, but with cardinal rankings it's still a number where f=<n. ______________________________________________ -My respect can not be won, only lost. It's given freely and only grudgingly withdrawn.
Malvaceae Veri	Posted - 2009.05.08 11:46:00 - [24] ITT: non-math guys learning the basics of infinite series.
Yakia TovilToba Halliburton Inc.	Posted - 2009.05.08 12:10:00 - [25] Edited by: Yakia TovilToba on 08/05/2009 12:13:26 Originally by: Nomakai Delateriel Originally by: Kulmid Originally by: Nomakai Delateriel Also completely ignoring the fact that 9n in this example ISN'T 9. It's 8.999... Or you're rounding off numbers. Exactly... (10)(.999...) = 9.9999... (9)(.999...) = 8.9999... but yet (10)(.999...)-(.999...) = 9.000... No. Because it's still 8.999... Otherwise you're rounding off. Dude, i found your last maths test: Linkage
jason hill Caldari Clan Shadow Wolf Sylph Alliance	Posted - 2009.05.08 13:03:00 - [26] errr destroy everything you touch
TimMc Gallente Brutal Deliverance Blackguard Coalition	Posted - 2009.05.08 13:07:00 - [27] Rounding ftl. I've had maths teachers try similar mind****s.
ReaperOfSly Gallente Zetsubou Corp	Posted - 2009.05.08 14:24:00 - [28] Originally by: Nomakai Delateriel Originally by: Kulmid Originally by: Nomakai Delateriel Also completely ignoring the fact that 9n in this example ISN'T 9. It's 8.999... Or you're rounding off numbers. Exactly... (10)(.999...) = 9.9999... (9)(.999...) = 8.9999... but yet (10)(.999...)-(.999...) = 9.000... No. Because it's still 8.999... Otherwise you're rounding off. Clearly wrong. 9n = 10n - n = 9.99999999... - 0.999999999999... = 9. You're making the classic mistake of thinking there's an infinityeth decimal place. ____________________
Jim McGregor	Posted - 2009.05.08 15:25:00 - [29] You get born on this planet and you spend your time doing this... --- Originally by: Roguehalo Can you nano Titans?
Micheal Dietrich Caldari	Posted - 2009.05.08 15:38:00 - [30] Man you people are so technical. I just round to the nearest.

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