Re: [math-fun] good introductory real-analysis text?

Rich Schroeppel writes:

My favorite construction for the reals is to match the implicit "infinte decimals" that we grew up with. It's the ground state, hence "intuitive". There's no harm in mentioning the alternatives, nor in emphasizing there are a bunch of equivalents.

Does anyone know of a good write-up of the construction of the reals and their arithmetic via decimal expansions? The only example I can think of is F. Faltin, N. Metropolis, B. Ross and G.-C. Rota, The real numbers as a wreath product, Advances in Math., 16(1975), 278--304. Jim Propp