This thread shows only two things first, its true 1=.999... and 1 second, it shows that you can lead a donkey to water but you cant make it think! How many ways do you want to see proof that .999... is equal to 1? They got about 500 proofs here by emminent mathematicians and you know what there is not a single proof that 1 is not = .999... http://en.wikipedia.org/wiki/.999
dont be silly - its past 2000.111.... or 1999.999... or 2000 hits but its most definately past all of them because those are all the same term anyway
arrrggghhhhhhhhhhh!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give up
.9 repeater is imaginary. it is just another way of writing 1. it acts the same as 1 in all cases. the error you would get by treating .9 repeater as 1 is so small that it is impossible to calculate in all cases, impossible to detect in any physical manifestation, and impossible to scale up. however, some values are not allowed to equal 1 according to their definition, and thus the maximum possible value below 1 is .9 repeater, but it is never encountered in discrete mathematics, or any mathematics other than as a theoretical construct that humans could never discern from 1
*sighs* It's not actually 1. Simply mathematics shows it's not ACTUALLY 1...it tends to one and the difference is infintessimally small that it may as well be one in all application. Theoretically speaking though it never encounters the number 1. It's always the tiniest part away.
listen... divide 1 by 3. you get .33333 repeating. if you just go by the numbers, multiplying this by 3 would give you .99999 repeating, but you cant reverse a function and get something different from the initial value, so the .99999 repeating is essentially equal to 1. heres a different way of putting it... .99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 ... = 1
1 diveded by three is not .3333 repeating. It's 1/3. Simple fact of maths. You calculator or computer may give you .333333333333333...etc... but your computer is working to a given numer of digits. It's giving you an approximate answer, it can't show you an 'infinate' number of 3s, so it gives you the best figure it can. Which isn't the same as 1/3, not exactly. So dividing 1 by 3 and getting an APPROX. decimal answer, then multiplying that by three, (actually gives me 1 on my calculator or PC, try it) but assuming it DID give me .9999999 this would be an approximation. There will be a truncation error involved, so any decimal value over a given length is now no longer accurate. .9 recurring is NOT 1...it's just so close as to make no difference.
The answer too this puzzle is on page 3, i cant believe it took that long for some1 to to actually give a good explanation, and yet your still arguing on page 10. F*ck me. INFINITY IS IMPOSSIBLE TO IMAGINE!!!!!
no... after putting 9s in there for so long it woul have to equal 1. it would mot likley be in the millions or even billions.
Just think about this.. Can you think of a number between .999(repeating) and 1? If not, they must be equal.