In article <firstname.lastname@example.org>, WM <email@example.com> wrote:
> On 31 Jan., 01:51, Virgil <vir...@ligriv.com> wrote: > > > > > > > Does every rational have a decimal expansion? > > > > > > > No. For instance 1/9 = 0.111... has no decimal expansion > > > > > > You just gave it one. > > > > > No. I know, it is very unfamiliar, but it is fact: "0.111..." is not a > > > decimal expansion. For instance, because decimal expansions by > > > definition have only one point. 0.111... > > > > Finite and infinite decimals have only one decimal point, but the > > ellipsis "..." is not a decimal point, > > I did not say "decimal point" but only "point".
Even so, the ellipsis '' is not a point, but an abbreviation for "and so on". > > > but is a standard abbreviation > > for either "and so on until" if followed by an end value or "and so on > > without end" if not followed by an end value. > > Please write this decimal expansions without an abbreviation. The > present form only shows potential infinity, namely for "every" n d_n = > 1.