Question

Find the value of.

$\left|-11\right|-\left|3\right|$

Answer 1

Finding the value of the given expression:

We have to find the difference of two absolute values. i.e., $\left|-11\right|-\left|3\right|$

The absolute value of an integer is the numerical value without regard to whether the sign is negative or positive. On a number line it is the distance between the number and zero.

Thus,

$\left|-11\right|=11$ and $\left|3\right|=3$

Therefore,

$$\begin{gathered} \left|-11\right|-\left|3\right| \\ =11-3 \\ =11+(-3) \\ =8 \end{gathered}$$

Hence, $|-11|-\left|3\right|=8$