Question

which number is closest to $-sqrt{80}$? -8.9 8.9 -9.2 9.2

Explanation:

Step1: Calculate $\sqrt{80}$

$\sqrt{80} = \sqrt{16\times5} = 4\sqrt{5} \approx 8.944$

Step2: Find $-\sqrt{80}$

$-\sqrt{80} \approx -8.944$

Step3: Compare with options

Calculate differences:
$|-8.944 - (-8.9)| = 0.044$
$|-8.944 - (-9.2)| = 0.256$
Values 8.9 and 9.2 are positive, so their differences from $-8.944$ are much larger.

Answer:

-8.9