Question

Find the value of.

$\left|-5-2\right|$

Answer 1

Finding the value of the given expression:

We have to find the absolute value of $\left|-5-2\right|$

Therefore,

$$\begin{gathered} \left|-5-2\right| \\ =\left|(-5)+(-2)\right| \\ =\left|-7\right| \end{gathered}$$

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.

Now, absolute value of $(-7)$ i.e., $\left|-7\right|=7$

Hence, $|-5-2|=7$