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:

$$\begin{array}{cc}711& 1\end{array}$$

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

$$\begin{array}{cc}711& 1\\ 6399& 9\end{array}$$

Now we divide 6399 by 9:

$$\begin{array}{cc}711& 1\\ 6399& 9\\ 711& \end{array}$$

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 $\boxed{0.\overline{711}}$.