i think i would go with Technically 1 is 1/1

cuz technically, those 0's have no use to be stated (they are only there if we need them)...

its kinda like this: 1 = X

there is no reason to state that 2 = 2x or 4 = 4x

the 0's arnt there, 1 is a whole number... they are only there if we need them...

If they weren't there, then we can't use them if we need them. If they are there once, they are there forever, and writing 1.0000000000.... as 1 is just a convenience.
1.0 = 1 + 0/10 = 1 + 0 = 1,
1.00 = 1 + 0/10 + 0/100 = 1 + 0 + 0 = 1,
and so on.

If you can write a = b, then a is the same as b in every situation, not your favorite situation.

You missed the point, someone tried to say 0.999... can't be 1 because one has a finite representation while the other is infinite, hence 1=1.000...

EDIT: not JUST your favorite situation.

EDITx2: Why are people still posting in this, it's proven already.

This post was edited by ElusiveNeutrino on Apr 12 2010 08:32am

I still think that if it is 0.9999 infinitely recurring then it equals 1.
I mean, I can understand what you guys are saying with the fact that every nine only makes the number closer and closer to 1 but it never actually approaches 1, however infinity is a bit different to a regular number and I think that the fact that it is infinitely close to something must make it exactly that.
If it was very close or extremely close then it would not be that, but if it was infinitely close then it is exactly that.

i understand what ur talking about, but i look at it the opposite way (but still with the same thought process) i think writing out the .00000000... is a convenience, because to me a whole number is finite, ending... every number has a thousands, hundreds, tens, ones, tenths, hundredths, thousandths,... and so on just when they are defined at 0 they end... and being able to write 0's after or before the 'whole' number are simply unnecessary...

imo the simplest answer for why 1 DOES NOT = .999... is because it approaches but never touches 1

also IMHO 1 = .999... Because it IS infinitely close to 1, unendingly close... it is not a Finite number... find me 1 Equation where u can get .999... and not also get 1 as an answer WITHOUT ROUNDING!!!! 9/9 = 1 or .9999...

Really you should write out all the zeros, actually. All real numbers (including rational numbers) are defined as equivalence classes of rational approximations. While it is possible to envision the approximations without thinking of rational numbers as infinite decimal expansions with infinitely repeated 0's or 9's, if you really understand why .999... = 1, you will understand why writing 1.000... is more accurate.

and i do, and if u look at my last post... ull see that i do,

I just find it unnecessary unless its needed, for me they are ~~ place holders ~~ not needed... unless they are...

i've nvr seen this myself, but i suppose you could look at it as an "infinite accuracy ?", so then 1.00000... has the same accuracy as an irrational like Pi

math sux.

math... hurts.. brain...

math.....GROWS....brain....[