
Originally Posted by
Vincent, Thunder God

Originally Posted by
Raistlin
Then think of this. There is a glass of water. 10/10ths of it would make it full. 0.99/10ths of it would make it almost completely full, but 0.01 of it would not be full.
That 0.01 can apply to any number of 0.99s. By this I mean that 0.9999 has 0.0001 empty, etc., so on and so forth.
That changes when you make an infinite series of nines. There is no such thing as an infinite series of zeros with a 1 at the end.
No offense, but clearly you don't understand decimals then. It exists. 0.01, 0.001, etc. They are all real decimals. It represents a very small number.
Anyone who knows math care to back me up on this one?
No, actually, Raistlin is right. If it's recurring, it
is not 0.000001, or 0.000000000001, or anything of the like. It is infinite, and therefore there is nowhere to place the last 1. Infinite numbers are a bitch to grasp, but.
So. 0.999... must equal 1 for the following reason:
1 - 0.999... = 0.000... Now because there IS no end to 0.000 recurring, there can BE no 1 to make it up to a total of 1. And if 0.000... + 0.999... = 1, then 0.999...
must equal 1. There's no other way for it. If there is a 1 in 0.000... it's not recurring, and therefore the matter is settled in another way (eq the numbers are finite.)