AySz88 on 02 June 2007
There's no such thing as an infinitesimal in the everyday real numbers - so "those numbers" after an infinite number of zeros really don't exist as unique numbers. You can probably make up a system where things are different, but it's really not the system that people use.
Think about it this way: If 1.2 means "1 + 2*10^-1", then what does 1.000...0002000... mean? 1+2*10^-infinity?
But, 10^-infinity would be understood to mean the limit of 10^-x as x goes to infinity, which is just *zero* - not a "really small number". Then even "1.00...00200..." still equals 1.
