Question

Which list is in order from least to greatest?

• A. $\left|-3.5\right|,\left|-9\right|,\left|4.2\right|$
• B. $\left|-3.5\right|,\left|4.2\right|,\left|-9\right|$
• C. $\left|-9\right|,\left|-3.5\right|,\left|4.2\right|$
• D. $\left|-9\right|,\left|4.2\right|,\left|-3.5\right|$

Answer 1

The correct option is B

$\left|-3.5\right|,\left|4.2\right|,\left|-9\right|$

Explanation for correct option:

Option (B):

The absolute value of a number represents only the numeric value and does not include the sign of the numeric value.

If a number is positive, it will be its own absolute value. If a number is negative, its absolute value is positive.

The absolute values of the numbers are as follows:

$$\begin{gathered} \left|-9\right|=9 \\ \left|-3.5\right|=3.5 \\ \left|4.2\right|=4.2 \end{gathered}$$

Hence, the list from the least to greatest is $\left|-3.5\right|\mathbf{,}\mathbf{}\left|4.2\right|\mathbf{,}\mathbf{}\left|-9\right|\mathbf{}$.

Hence, the only correct option is (B).