EDIT: Hmmmmm, does 1.000~1 = 1 ?
>_>
Well, you can't really have a .000~1. If the zeros go on infinitely there's no "end" to put the 1 on. Think of it as 1/(10^x), with x getting bigger and bigger towards infinity.
x = 1: 1/10 = .1
x = 2: 1/100 = .01
x = 3: 1/1000 = .001
etc.
And for .000~1 you need x to be infinity. However, infinity is not a number. You have to take the limit as x goes to infinity. The limit of 1/(10^x) as x goes to infinity equals zero. So .000~1 equals zero.
So yes, 1.000~1 equals 1, but .000~1 isn't really conventional.