Here is another way of explaining it. Each number is different from another by a specific amount. 2 is 1 different from 1, 1.5 is 0.5 different from 1.
However there is no gap between 0.999 (with an infinite number of 9's) and 1. If there were, then you wouldn't have an infinite number of 9's. Ergo, 0.999... and 1 are the same number.
.999... (to infinity) - .999... (to infinity) will always equal zero, because it is the same value.
If you think you've disproved this, then you could probably win some mathematical prize, given that 0.999.... = 1 is accepted as mathematical truth.
Or you are suffering from one of these common fallacies which usually cause students of mathematics to reject the concept: http://en.wikipedia.org/wiki/0.999...#Sk..._education
However there is no gap between 0.999 (with an infinite number of 9's) and 1. If there were, then you wouldn't have an infinite number of 9's. Ergo, 0.999... and 1 are the same number.
(September 22, 2009 at 10:49 am)leo-rcc Wrote: No, it is 9X, 10X-1X. If you are going to multiply infinite numbers then the outcome is infinite as well. Subtraction of an infinite value will give you another infinite value.
.999... (to infinity) - .999... (to infinity) will always equal zero, because it is the same value.
If you think you've disproved this, then you could probably win some mathematical prize, given that 0.999.... = 1 is accepted as mathematical truth.
Or you are suffering from one of these common fallacies which usually cause students of mathematics to reject the concept: http://en.wikipedia.org/wiki/0.999...#Sk..._education