Rath on 25 September 2008
I don't see what you're basing your argument on Steven.
0.(3) is a single number in the set of real numbers and 0.(3)=0.(3) always, there are no exceptions.
The idea that 0.(3) is only close to 1/3 is because of a lack of understanding of the concept of infinity - the idea that if you multiply 0.(3) by 10 that at the end of all the threes there is now a zero. This ignores the fact that there is no end of all those threes, the number of threes was infinite and is still infinite.
Here is a source with some fairly well qualified people reinforcing this - http://www.newton.dep.anl.gov/askasci/math99/math99167.htm
Couldn't find a better source in the time I could be bothered looking it up.
