Question

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

Note: You will find the option to add a bar above text in the Geometry ( ∠
) keyboard.

Show your work.

(1 point)

Answer 1

To express \(711\) as a repeating decimal, we first need to convert it into a fraction. However, we can start by writing the integer as a fraction over 1:

\[
711 = \frac{711}{1}
\]

Next, we'll find a way to express this fraction in decimal form. Since \(711\) is a whole number, we can express it as a decimal by simply confirming:

\[
711 = 711.0000...
\]

Since there are no decimal digits that repeat, the repeating decimal representation can be effectively noted as follows:

To note it as a repeating decimal:

\[
711 = 711.\overline{0}
\]

However, since initially expressed integers don't have decimal parts unless specified, we can express \(711\) simply as is, knowing that if it were to extend to decimals, the repeating part would be a sequence of zeros.

So the final result for expressing \(711\) as a repeating decimal is:

\[
711.\overline{0}
\]