Abe Posted April 18, 2009 Share Posted April 18, 2009 If 0.999... was equal to 1, if you multiplied it by let's say...5. Then wouldn't you get the same answer? Example: 0.999x5= 4.995 and 1x5= 5 If they were equal, wouldnt they equal the same number when multiplied by the same number :? (840th To 99 Farm. Achieved on February 13th, 2008.) (2942th To 99 Crafting. Achieved on September 9th, 2008.)(23671th To 99 Magic. Achieved on January 17th, 2009.) (46913th to 99 Hit Points. Achieved on March 20th, 2009.)(30680th to 99 Range. Achieved on March 21st, 2009.) (66351th to 99 Attack. Achieved on July 8th, 2009.)(2856th to 99 Herblore. Achieved on August 21st, 2009.) (45985th to 99 Woodcutting. Achieved on November 15th, 2009.)(6119th to 99 Smithing. Achieved on December 24th, 2009.) (98100th to 99 Cooking. Achieved on January 1st, 2010.)(63214th to 99 Defence. Achieved on January 30th, 2010.) (122697th to 99 Strength. Achieved on February 11th, 2010.)(15249th to 99 Prayer. Achieved on March 21st, 2010.) (34209th to 99 Fishing. Achieved on July 7th, 2010.)(9259th to 99 Summoning. Achieved on July 29th, 2010.) (51712th to 99 Firemaking. Achieved on September 6th, 2010.)(109036th to 99 Fletching. Achieved on September 28th, 2010.) (15821th to 99 Slayer. Achieved on February 3rd, 2011.)(11652th to 99 Construction. Achieved on June 18th, 2011.) Link to comment Share on other sites More sharing options...
Laura Posted April 18, 2009 Share Posted April 18, 2009 If 0.999... was equal to 1, if you multiplied it by let's say...5. Then wouldn't you get the same answer? Example: 0.999x5= 4.995 and 1x5= 5 If they were equal, wouldnt they equal the same number when multiplied by the same number :?No, this is where I was having the problem. You're viewing .999... as a finite number. If you plug in .9999, the 5 gets sent back another decimal place. This continues and continues into infinity, so it's always .999.... You'll never reach the 5, thus 5=5 or .999...*5=1*5. Link to comment Share on other sites More sharing options...
kazzin Posted April 18, 2009 Share Posted April 18, 2009 If 0.999... was equal to 1, if you multiplied it by let's say...5. Then wouldn't you get the same answer? Example: 0.999x5= 4.995 and 1x5= 5 If they were equal, wouldnt they equal the same number when multiplied by the same number :? 0.999 x 5 = 4.995 0.999... x 5 = 4.999... Link to comment Share on other sites More sharing options...
Abe Posted April 18, 2009 Share Posted April 18, 2009 ^^ alright i understand that... 1 more thing, what does the "X" in all of their equations represent? i can seem to understand where they're getting "X" (840th To 99 Farm. Achieved on February 13th, 2008.) (2942th To 99 Crafting. Achieved on September 9th, 2008.)(23671th To 99 Magic. Achieved on January 17th, 2009.) (46913th to 99 Hit Points. Achieved on March 20th, 2009.)(30680th to 99 Range. Achieved on March 21st, 2009.) (66351th to 99 Attack. Achieved on July 8th, 2009.)(2856th to 99 Herblore. Achieved on August 21st, 2009.) (45985th to 99 Woodcutting. Achieved on November 15th, 2009.)(6119th to 99 Smithing. Achieved on December 24th, 2009.) (98100th to 99 Cooking. Achieved on January 1st, 2010.)(63214th to 99 Defence. Achieved on January 30th, 2010.) (122697th to 99 Strength. Achieved on February 11th, 2010.)(15249th to 99 Prayer. Achieved on March 21st, 2010.) (34209th to 99 Fishing. Achieved on July 7th, 2010.)(9259th to 99 Summoning. Achieved on July 29th, 2010.) (51712th to 99 Firemaking. Achieved on September 6th, 2010.)(109036th to 99 Fletching. Achieved on September 28th, 2010.) (15821th to 99 Slayer. Achieved on February 3rd, 2011.)(11652th to 99 Construction. Achieved on June 18th, 2011.) Link to comment Share on other sites More sharing options...
Laura Posted April 18, 2009 Share Posted April 18, 2009 ^^ alright i understand that... 1 more thing, what does the "X" in all of their equations represent? i can seem to understand where they're getting "X"Which equation? It's just a set variable to represent a value. In the original post it's .999.... Link to comment Share on other sites More sharing options...
Captainkidd Posted April 18, 2009 Share Posted April 18, 2009 ITT: Everyone who thinks they are smarter then everyone else. ~ Captainkidd Link to comment Share on other sites More sharing options...
indy500fan Posted April 18, 2009 Share Posted April 18, 2009 This problem wouldn't exist if we used a base 12 number system. Really we should, it would make things so much easier. Link to comment Share on other sites More sharing options...
Jaziek Posted April 18, 2009 Share Posted April 18, 2009 Why use all these algebraic proofs when basic analysis of the reals tells us that it must be so? Its better to try and explain using concepts that more people will understand. Link to comment Share on other sites More sharing options...
mmmcannibalism Posted April 18, 2009 Share Posted April 18, 2009 [hide=]If 0.999... was equal to 1, if you multiplied it by let's say...5. Then wouldn't you get the same answer? Example: 0.999x5= 4.995 and 1x5= 5 If they were equal, wouldnt they equal the same number when multiplied by the same number :?No, this is where I was having the problem. You're viewing .999... as a finite number. If you plug in .9999, the 5 gets sent back another decimal place. This continues and continues into infinity, so it's always .999.... You'll never reach the 5, thus 5=5 or .999...*5=1*5.[/hide] yay we converted laura ^^ alright i understand that... 1 more thing, what does the "X" in all of their equations represent? i can seem to understand where they're getting "X" to add clarifying, the x is a variable that is representing a given number, in these proofs we give x an initial value for normal equations you are generally looking for x in the equation 3x+5x=7 3x+5x=7 8x=7 x=(7/8) plugging 7/8 into the first equation we prove our answer is accurate because 3(7/8)+5(7/8)=7 21/8+35/8=7 sorry if this sounded like an algebra lecture, Im just not sure how much math you have had so I figured I would be thourough. 56/8=7 7=7 Orthodoxy is unconciousnessthe only ones who should kill are those who are prepared to be killed. Link to comment Share on other sites More sharing options...
WoodenFruit Posted April 18, 2009 Share Posted April 18, 2009 My brain is going to explode >. ______________ Link to comment Share on other sites More sharing options...
tintin113 Posted April 18, 2009 Share Posted April 18, 2009 A lot of time would have been saved if the first poster had posted this: http://en.wikipedia.org/wiki/0.999... Read the first paragraph. ;) Thanks to Quarra for the awesome sig!Xbox360 Gamertag = Tintin113 Link to comment Share on other sites More sharing options...
Utopianflame Posted April 18, 2009 Share Posted April 18, 2009 I would agree now that .999... = 1 because of the fact that there isn't a number inbetween... But this has really made me want to debate whether you can represent 1/3 in decimal form. Same logic and same answer, there is no real number between 0.3... and 1/3 thus they are the same number. Or more precisely the suprenum of of the infinite sequence {0.3,0.33,0.333,...} is 1/3. Equally of course you can just take .999... = 1 and divide both sides by 3 to get the result. there are no stupid questions just way too many inquisitive idiots balance is scary to people who like things easy for them Link to comment Share on other sites More sharing options...
l0l0lpur34 Posted April 18, 2009 Share Posted April 18, 2009 any decimal that recurs can be expressed as a fraction - and for 0.999... that fraction is 1. Link to comment Share on other sites More sharing options...
Pawn Posted May 11, 2009 Share Posted May 11, 2009 You can have 0.9999 apples if you want. But I prefer to have 1 apple. Link to comment Share on other sites More sharing options...
wild_goat_14 Posted May 11, 2009 Share Posted May 11, 2009 You can have 0.9999 apples if you want. But I prefer to have 1 apple. Yeah, because that is 0.0001 less apple. But 0.999... = 1. I shall take my flock underneath my own wing, and kick them right the [bleep] out of the tree. If they were meant to fly, they won't break their necks on the concrete.So, what is 1.111... equal to?10/9. Please don't continue. Link to comment Share on other sites More sharing options...
mmmcannibalism Posted May 11, 2009 Share Posted May 11, 2009 You can have 0.9999 apples if you want. But I prefer to have 1 apple. Id prefer about .8 of an apple to avoid the core and other undesirable parts Orthodoxy is unconciousnessthe only ones who should kill are those who are prepared to be killed. Link to comment Share on other sites More sharing options...
AceBeam Posted May 11, 2009 Share Posted May 11, 2009 Silly math peoples, you forgot how to use common sense. You can have 0.999.... but it will always be short of 1. Just... extremely short of 1. How the hell are you supposed to get 0.999... of something anyways? Oh yeah, and I've thought of taking babies and throwing them. For funsies. - Lenticular J"Isn't it pathetic how everything in our society is built around someone screwing someone else out of their money?" - killerbeer0 on American SocietyRebdragon can't wiz a woz. Link to comment Share on other sites More sharing options...
Riku3220 Posted May 11, 2009 Share Posted May 11, 2009 Silly math peoples, you forgot how to use common sense. You can have 0.999.... but it will always be short of 1. Just... extremely short of 1. How the hell are you supposed to get 0.999... of something anyways? You can't which is why it's 1. Link to comment Share on other sites More sharing options...
AceBeam Posted May 11, 2009 Share Posted May 11, 2009 1 is the closest thing to it, but isn't it. So if i were to try get... .444... of something... since I cant get that... wtf am I getting? Oh yeah, and I've thought of taking babies and throwing them. For funsies. - Lenticular J"Isn't it pathetic how everything in our society is built around someone screwing someone else out of their money?" - killerbeer0 on American SocietyRebdragon can't wiz a woz. Link to comment Share on other sites More sharing options...
Zimbu Posted May 11, 2009 Share Posted May 11, 2009 This problem wouldn't exist if we used a base 12 number system. Really we should, it would make things so much easier. We would just be discussing the 0.BBB...=1 problem instead. 1 is the closest thing to it, but isn't it. So if i were to try get... .444... of something... since I cant get that... wtf am I getting? You can get 0.444... of something. 0.444... is 4/9. Similarly, 0.111... is 1/9, 0.222... is 2/9 and so on to 0.999... being 9/9, which is 1. I think you're mixing 0.999... with 0.999...9. 0.999... has no "last 9" and therefore there is nothing that separates it from 1. 0.999...=1 helped me realize that limit is a fixed value and not an infinite process. Link to comment Share on other sites More sharing options...
brunokiller Posted May 11, 2009 Share Posted May 11, 2009 Now to convince everyone that 1/0 =/= infinity. My blog Link to comment Share on other sites More sharing options...
k00ldud95 Posted May 11, 2009 Share Posted May 11, 2009 .........am I the only one who doesn't think that it matters very much? :twss: Nechs require 80 Slayer and their main drop is cheap 50k rune boots. Give nechs a better drop!! Link to comment Share on other sites More sharing options...
fastortoise Posted May 11, 2009 Share Posted May 11, 2009 .........am I the only one who doesn't think that it matters very much? Let's just say you wouldn't be sitting behind a computer without the logic behind 0.999... = 1 Link to comment Share on other sites More sharing options...
mmmcannibalism Posted May 11, 2009 Share Posted May 11, 2009 .........am I the only one who doesn't think that it matters very much? no, but then again this is just an interesting observation; its not intended to intrigue you till the end times. Orthodoxy is unconciousnessthe only ones who should kill are those who are prepared to be killed. Link to comment Share on other sites More sharing options...
Kiriyama Posted May 11, 2009 Share Posted May 11, 2009 Now to convince everyone that 1/0 =/= infinity. But it does, doesn't it? Because you can give 0 people 1 thing an infinite amount of times. OR we could admit that it just equates to Error. Denizen of Darkness| PSN= sworddude198 Link to comment Share on other sites More sharing options...
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