Ash-Kennard Posted April 3, 2008 Report Share Posted April 3, 2008 (edited) those of you that do maths or physics or have any brain power will know that 1 doesn't equal 0.999* (* = recurring) with no roundingsomeone in my physics class brought this up today... x = 0.999*10x = 9.999*10x - x = 9.999* - 0.999*9x = 90.999* = 1discussedited... Edited April 4, 2008 by Ash-Kennard Quote Link to comment Share on other sites More sharing options...
monkeyseemonkeydo Posted April 3, 2008 Report Share Posted April 3, 2008 Edit: Ash editted the question. Quote Link to comment Share on other sites More sharing options...
Ash-Kennard Posted April 4, 2008 Author Report Share Posted April 4, 2008 (edited) meh, must have got it wrong somewhere, but there is proof that 0.999* does equal 1wtf is the other silly topic? EDIT: link. seems im nearly right, just needed to rearrange better Edited April 4, 2008 by Ash-Kennard Quote Link to comment Share on other sites More sharing options...
Dan Clark Posted April 4, 2008 Report Share Posted April 4, 2008 I'm pretty sure there is no definitive answer, and its something that mathematicians can't agree on.Plus its the new plane on the conveyor belt for the internet kiddies. Quote Link to comment Share on other sites More sharing options...
Muel Posted April 4, 2008 Report Share Posted April 4, 2008 0.999* doesn't equal one, it just eventually gets so close that no-one could give a shit, and it would get cancelled out eventually, so for anyone who gives a shit.0.999* = 1 Quote Link to comment Share on other sites More sharing options...
JT! Posted April 4, 2008 Report Share Posted April 4, 2008 9.999* is theoretical, it isn't a number.When you times it by ten, your just shifting the decimal one way. Making the number which went on for infinite, to infinite +1. That isn't taken into consideration when you did the math. Quote Link to comment Share on other sites More sharing options...
26inch Posted April 4, 2008 Report Share Posted April 4, 2008 Ive seen that theory work properly showing that it equals 1. cant remember how though Quote Link to comment Share on other sites More sharing options...
JT! Posted April 4, 2008 Report Share Posted April 4, 2008 Well it's the same as 3x (1/3) = 1. But (1/3) = 0.333333333333333333333333333333333333333333.... so 3 x (1/3) = 0.9999999...... aswell. Quote Link to comment Share on other sites More sharing options...
trials_pimp Posted April 4, 2008 Report Share Posted April 4, 2008 it cant be right.Otherwise the Count on Sesemie Street would have a tough time Quote Link to comment Share on other sites More sharing options...
manuel Posted April 4, 2008 Report Share Posted April 4, 2008 10x doesnt equal 9.9999 recurring - thats the easy answer ... in my opinion anyway - at infinity as the nines stretch away there has to be a zero at the end compared to the 0.999999 recurring - which accounts for your lost .000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000........00000000000001 .... I guess there are arguments for and against. Quote Link to comment Share on other sites More sharing options...
Ash-Kennard Posted April 4, 2008 Author Report Share Posted April 4, 2008 is that because infinity isnt a real value? Quote Link to comment Share on other sites More sharing options...
munkee Posted April 4, 2008 Report Share Posted April 4, 2008 its simply because infinity is never ending.. so you can never say something ='s 1 if it just never ever gets there.. if it was 1 it would literally just be 1..not 0.999999wedontcareletscallit 1 Quote Link to comment Share on other sites More sharing options...
Dan6061 Posted April 4, 2008 Report Share Posted April 4, 2008 1 equals 1. Nothing else. Without sums, etc. Quote Link to comment Share on other sites More sharing options...
Gavyn. Posted April 4, 2008 Report Share Posted April 4, 2008 at a guess because the 0.999 is infinite it'll never quite reach 1 ( although it's as close as it can be.) anyway mathematicians have argued over this for years so we're not going to solve it on here. Quote Link to comment Share on other sites More sharing options...
Tomm Posted April 4, 2008 Report Share Posted April 4, 2008 anyway mathematicians have argued over this for years so we're not going to solve it on here.My understanding is that they haven't argued about it for years. They all agree that 0.999... == 1It's really about what you think of as 'infinity'. 0.999... streches to infinity and is therefore infinitely close to 1. It's not intuitive for us to think that 0.999... might equal 1, but unless you can come up with a counter-proof to what ash posted, you don't have a leg to stand on. Quote Link to comment Share on other sites More sharing options...
tomturd Posted April 4, 2008 Report Share Posted April 4, 2008 0.9999* = 0.9999*, its quite simple. I just did that with absolutely no working out at all. Proof that it doesn't equal one.Theres quite a geeky saying that "2+2=5, for very large values of 2, or small values of 5". Sometimes happens on computers if you do not allow enough.. significant digits (?) in memory - but totally irrelevant to this topic. Quote Link to comment Share on other sites More sharing options...
Tomm Posted April 4, 2008 Report Share Posted April 4, 2008 When you times it by ten, your just shifting the decimal one way. Making the number which went on for infinite, to infinite +1. That isn't taken into consideration when you did the math.That's precisely the point of the proof though!What is infinity minus 1? Or infinity plus 1?(the answer in both cases is infinity) Quote Link to comment Share on other sites More sharing options...
JT! Posted April 4, 2008 Report Share Posted April 4, 2008 That's precisely the point of the proof though!What is infinity minus 1? Or infinity plus 1?(the answer in both cases is infinity)Exactly. Quote Link to comment Share on other sites More sharing options...
Tomm Posted April 4, 2008 Report Share Posted April 4, 2008 Exactly.0.999 recurring (to infinity) minus the last '9' in the series is still an infinitely long string of 9s. Hence this bit makes perfect sense.10x = 9.999*10x - x = 9.999* - 0.999*I might not have explained that very well, but suffice it to say, the proof is sound. Quote Link to comment Share on other sites More sharing options...
monkeyseemonkeydo Posted April 4, 2008 Report Share Posted April 4, 2008 wtf is the other silly topic?The previous silly topic was asking which was bigger, 3/32" (= 0.09375" or 2.38128mm) or 1/8" (= 0.125" or 3.175mm) in reference to chains... Quote Link to comment Share on other sites More sharing options...
Ash-Kennard Posted April 4, 2008 Author Report Share Posted April 4, 2008 The previous silly topic was asking which was bigger, 3/32" (= 0.09375" or 2.38128mm) or 1/8" (= 0.125" or 3.175mm) in reference to chains...thats not silly, i just didnt have a calculator Quote Link to comment Share on other sites More sharing options...
The Duck Posted April 4, 2008 Report Share Posted April 4, 2008 0.99999999999999999999999999999999999999999If your a mathmatition - no, its not oneIf your an engineer - its near enoughAccording to my maths teacher who is a professor of engineering. Quote Link to comment Share on other sites More sharing options...
hI-OOPS-CAPS Posted April 4, 2008 Report Share Posted April 4, 2008 0.99999999999999999999999999999999999999999If your a mathmatition - no, its not oneIf your an engineer - its near enoughAccording to my maths teacher who is a professor of engineering.mathmatitions say .999 recurring does equal 1. theres the arithmetic series which shows proof, and probably integration aswell Quote Link to comment Share on other sites More sharing options...
Tomm Posted April 5, 2008 Report Share Posted April 5, 2008 mathmatitions say .999 recurring does equal 1. theres the arithmetic series which shows proof, and probably integration aswellYes, that's what this topic's about Anyway, 0.999999999999999999999999 is not the same as 0.999... Quote Link to comment Share on other sites More sharing options...
hI-OOPS-CAPS Posted April 5, 2008 Report Share Posted April 5, 2008 Yes, that's what this topic's about Anyway, 0.999999999999999999999999 is not the same as 0.999...but i quoted someone who said mathmatition say 1 is not the same as 0.9999recurringif you only say 3 decimal places, such as 0.999 then its obviously a number in its own and doesnt equal 1, did i miss something here? Quote Link to comment Share on other sites More sharing options...
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