"bassam king karzeddin" <email@example.com> wrote in message news:22019165.1180601903492.JavaMail.firstname.lastname@example.org... > Re: What is wrong between decimal and fraction? > Posted: May 28, 2007 6:01 PM Plain Text Reply > > > Dear All >
> [...] > Any positive real number (except one) is a unique production of prime > numbers with each prime raised to a non-zero integer and therefore of > unique decimal representation >
Factorisation is good.
> Hence, the irrational numbers are all those numbers that have endless > decimal digital expansion in any number system, provided that their > terminating digits are not all zero >
> From this you can see now why (0.999...) is an irrational number even we > don't know its prime factorization and therefor can't be equal to one > > [...] >
I'm not sure what this is, but it's not a sound proof.