Dark Posted September 5, 2009 Report Share Posted September 5, 2009 I asked my math teacher this, he said he will deliver an answer on Tuesday. 0.999... (0.9 when 9 repeats an infinite amount of times) is equal to one. Or so it says. There is proof of this: 1 = 3/3 = 3 x 1/3 = 3 x 0.333... = 0.999... So that is proven. But I'm thinking that maybe it's not equal. I could be 100% wrong, so please state if I am. 0.999999...0.000000...1 The first number simply means 0.9 when 9 is repeated an infinite amount of times. The second number, however, means 0.01 when the 0 before 1 is repeated an infinite amount of times. This would effectively produce: 0.0000000000000000000000000000000000000000...1 Also: 0.9 + 0.1 = 10.99 + 0.01 = 10.999 + 0.001 = 10.9999 + 0.0001 = 10.99999 + 0.00001 = 1...0.999... + 0.000...1 = 1 When you add two numbers together, assuming neither one is zero, you cannot be adding the sum. Meaning: When you reach a sum of 50, and neither number is zero, you will not be adding 50 with another number. Basically, I said that when you are adding 0.999... with another number not zero to equal 1, 0.999... cannot equal one. The only possible way I am wrong is if 0.000...1 is equal to 0. Link to comment Share on other sites More sharing options...
Womi Posted September 5, 2009 Report Share Posted September 5, 2009 So, whats your question now? Link to comment Share on other sites More sharing options...
Dark Posted September 5, 2009 Author Report Share Posted September 5, 2009 Does 0.999... equal 1? If so, prove that 0.000...1 equals 0. Link to comment Share on other sites More sharing options...
Felix Culpa Posted September 5, 2009 Report Share Posted September 5, 2009 no. it doesn't. Link to comment Share on other sites More sharing options...
Dark Posted September 5, 2009 Author Report Share Posted September 5, 2009 If it doesn't, why is there proof that 1 does equal 0.999...? I am so confused. Link to comment Share on other sites More sharing options...
☆ Master Sami ☆ Posted September 5, 2009 Report Share Posted September 5, 2009 Yes it does, even if it was 0.0000000000000000000000009 + 0.0000000000000000000000001 It would equal to one. Link to comment Share on other sites More sharing options...
Dark Posted September 5, 2009 Author Report Share Posted September 5, 2009 Yes it does' date=' even if it was 0.0000000000000000000000009 + 0.0000000000000000000000001 It would equal to one.[/quote'] No it wouldn't. Link to comment Share on other sites More sharing options...
CeDeFiA Posted September 5, 2009 Report Share Posted September 5, 2009 This why they need a "Math" section. I honestly do not know. Link to comment Share on other sites More sharing options...
Dark Posted September 5, 2009 Author Report Share Posted September 5, 2009 I doubt anyone would actually visit a MATH section, and we only have about 3 threads every 6 months on math. That's 1 thread every 2 months, or 6 threads in a year. Link to comment Share on other sites More sharing options...
CeDeFiA Posted September 5, 2009 Report Share Posted September 5, 2009 MORE MATH. I'm sure they'd put stupid threads. Link to comment Share on other sites More sharing options...
Cyber Altair Posted September 5, 2009 Report Share Posted September 5, 2009 Approximation? Link to comment Share on other sites More sharing options...
Larxene Posted September 5, 2009 Report Share Posted September 5, 2009 0.999... does not equal 1, and 0.000...1 does not equal 0. We just round them up or down for the sake of simplicity. Yet another stupid question. EDIT: I'm also highly disappointed by the lack of food in this topic. I was hungry. Link to comment Share on other sites More sharing options...
Womi Posted September 5, 2009 Report Share Posted September 5, 2009 0.9999999999999999 does NOT equal 1. Maybe it equals to 99.9%, but not totally. Simply because 1/3 =/= 0.3333333333333...There is no real number for 1/3, only an irreal.Same for 0.oooooo...oooo1 and 0. Link to comment Share on other sites More sharing options...
Dark Posted September 5, 2009 Author Report Share Posted September 5, 2009 0.999... does not equal 1' date=' and 0.000...1 does not equal 0. We just round them up or down for the sake of simplicity. Yet another stupid question. EDIT: I'm also highly disappointed by the lack of food in this topic. I was hungry.[/quote']0.9999999999999999 does NOT equal 1. Maybe it equals to 99.9%' date=' but not totally. Simply because 1/3 =/= 0.3333333333333...There is no real number for 1/3, only an irreal.Same for 0.oooooo...oooo1 and 0.[/quote'] 1 = 3/3 = 3 x 1/3 = 3 x 0.333... = 0.999... All I know is that 1/3 DOES in fact equal 0.333... I can prove that. My question is, if 0.999... equals 1, than 0.000...1 must equal 0, but there is no proof of that. Link to comment Share on other sites More sharing options...
Juuzou Posted September 6, 2009 Report Share Posted September 6, 2009 this is a children's card game forum [/thread] Link to comment Share on other sites More sharing options...
Guest JoshIcy Posted September 6, 2009 Report Share Posted September 6, 2009 this is a children's card game forum [/thread] This poster is obviously spamming. [/thread] As for this thread itself... Well...Just round up and stop complaining. Link to comment Share on other sites More sharing options...
Raelen Posted September 6, 2009 Report Share Posted September 6, 2009 Just wait till your teacher tells you on Tuesday. Link to comment Share on other sites More sharing options...
Huntar! Posted September 6, 2009 Report Share Posted September 6, 2009 0.999999... will never equal 1. Ever. It will never be 1 unless you round it, no matter how close it can be. And anything above 0, isn't 0. Link to comment Share on other sites More sharing options...
Felix Culpa Posted September 6, 2009 Report Share Posted September 6, 2009 If it doesn't' date=' why is there proof that 1 does equal 0.999...? I am so confused.[/quote'] Bring me proof that it does. Link to comment Share on other sites More sharing options...
Kale Posted September 6, 2009 Report Share Posted September 6, 2009 i see how that math works.. you substitute in the .33333... for 1/3 in the expression and then when you multiply you will supposedly get .9999... but when you substitute a number equal to 1/3 for the place of 1/3, dont you get the same number? see, when you divide 3 by the infinitely going .33333... you should never end up getting .9999... for the sake that .3 repeated is equal to 1/3. always. You will end up with 1 no matter what, not .9 repeated. at least that is what makes sense to me. please point out if i am wrong, as i am very interested in this. Link to comment Share on other sites More sharing options...
Dark Posted September 6, 2009 Author Report Share Posted September 6, 2009 I am assuming that 0.999... equals 1 based on the fact that 3 x 0.333... also equals one. And would it be possible to have a number such as 0.000...1? Wouldn't that technically be impossible, as it would be an infinite amount of zeros, therefore making it zero? And you'd never be able to reach the one? Link to comment Share on other sites More sharing options...
Kale Posted September 6, 2009 Report Share Posted September 6, 2009 i agree with your latter statement. if the definition for that number is 1.00..1 where 0 is infinite, then there would never be room for 1 at the end. 0 simply would never end to allow 1 into the line. XD Link to comment Share on other sites More sharing options...
Dark Posted September 6, 2009 Author Report Share Posted September 6, 2009 If 0.000...1 equals 0, we have already proven that 0.999... equals 1. I think. But I'm not sure if there is any proof of the former. I think the reason my math teacher wanted till Tuesday is so he could Google/Wiki it. Link to comment Share on other sites More sharing options...
Altαir Posted September 6, 2009 Report Share Posted September 6, 2009 No, 0.999999... =/ 1 Many numbers have the same problem. 1/3 = 0.3333... BUT 0.33333... x 3 =/ 1. YET 0.999.../3 = 0.333... AND 0.333... x 3 = 0.999... Link to comment Share on other sites More sharing options...
Dark Posted September 6, 2009 Author Report Share Posted September 6, 2009 No' date=' 0.999999... =/ 1 Many numbers have the same problem. 1/3 = 0.3333... BUT 0.33333... x 3 =/ 1. YET 0.999.../3 = 0.333... AND 0.333... x 3 = 0.999...[/quote'] 1/3 = 0.333...Therefore:0.333... x 3 = 0.999... (using your logic) X/X = 1Therefore:3/3 = 1 (using simple math) 1 = 3/33/3 = 3 x 1/33 x 1/3 = 3 x 0.333...3 x 0.333... = 0.999... Therefore: 1 = 0.999... If that is not true, what did I do wrong? EDIT: Also: 1/3 = 0.333...Therefore:1 / 3 = 0.333... 0.999... / 3 = 0.333... 0.999... / 3 = 1 / 3 Multiply by 3. 0.999... = 1 Link to comment Share on other sites More sharing options...
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