Express 711 as a repeating decimal. Mark the cycle of repeating digits with a bar.

Answer 1

To express 711 as a repeating decimal, we divide 711 by 1:

\[
\begin{array}{c|c}
711 & 1 \\
\end{array}
\]

We then multiply both the dividend and divisor by 9 to get rid of the decimal point:

\[
\begin{array}{c|c}
711 & 1 \\
\hline
6399 & 9 \\
\end{array}
\]

Now we divide 6399 by 9:

\[
\begin{array}{c|c}
711 & 1 \\
\hline
6399 & 9 \\
\hline
711 & \\
\end{array}
\]

The remainder is 711, which is the same as the original dividend. This indicates that the decimal will repeat at this point. Thus, the repeating decimal representation of 711 is $\boxed{0.\overline{711}}$.