>Of course there's a distinction. A decimal representation is a sequence of digits, not a number Oh and what is a real number? Might a real number be a sequenc

>Of course there's a distinction. A decimal representation is a sequence of digits, not a number Oh and what is a real number? Might a real number be a sequence of rationals? Or more correctly an equivalence class of cauchy series. >It boils down from the definition of the decimal representation and the limit of a geometrical sequence. No, it doesn't. You are assuming the conclusion.