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QUESTION IMAGE

order these numbers from least to greatest. $-dfrac{7}{22}$, $dfrac{12}…

Question

order these numbers from least to greatest.
$-dfrac{7}{22}$, $dfrac{12}{5}$, $sqrt{5}$, $-0.33$
note that for this question you can use your mouse to drag the numbers into their positions.
$-dfrac{7}{22}$ $dfrac{12}{5}$ $sqrt{5}$ $-0.33$
$\boxed{}$ < $\boxed{}$ < $\boxed{}$ < $\boxed{}$

Explanation:

Step1: Convert to decimals

$-\frac{7}{22} \approx -0.318$, $\frac{12}{5}=2.4$, $\sqrt{5} \approx 2.236$, $-0.33$

Step2: Compare decimal values

$-0.33 < -0.318 < 2.236 < 2.4$

Step3: Map back to original numbers

Match decimals to given values.

Answer:

$-0.33 < -\frac{7}{22} < \sqrt{5} < \frac{12}{5}$