Question

order these numbers from least to greatest.
9.46, 9\frac{4}{11}, -\sqrt{100}, 9.\overline{5}
note that for this question you can use your mouse to drag the numbers into their positions.
numbers and drag - drop interface as described in the image

Explanation:

Step1: Convert all to decimals

$9\frac{4}{11} = 9 + \frac{4}{11} \approx 9 + 0.3636 = 9.3636$
$-\sqrt{100} = -10$
$9.\overline{5} = 9.555...$

Step2: Compare decimal values

$-10 < 9.3636 < 9.46 < 9.555...$

Answer:

$-\sqrt{100} < 9\frac{4}{11} < 9.46 < 9.\overline{5}$