Question

order these numbers from least to greatest.
$-\frac{240}{25}$, $-9.75$, $sqrt{80}$, $-9.overline{7}$
note that for this question you can use your mouse to drag the numbers into their positions.

Explanation:

Step1: Convert to decimal form

$-\frac{248}{25} = -9.92$, $\sqrt{80} \approx 8.94$, $-9.\overline{7} = -9.777...$

Step2: Compare negative numbers

For negatives, larger magnitude = smaller value:
$-9.92 < -9.777... < -9.75$

Step3: Include positive number

Positive number is largest:
$-9.92 < -9.777... < -9.75 < 8.94$

Answer:

$-\frac{248}{25} < -9.\overline{7} < -9.75 < \sqrt{80}$