Question

Evaluate the expression$44-\left|x\right|$ when$x=-10$ .

Short answer

The value of the expressionis 34.

Step-by-step solution

Step 1  . Absolute value of a number

Absolute value of any positive or negative number is always positive and equal to the magnitude of the number. The absolute value of a number N is denoted by $\left|N\right|$.

The absolute value of a number represents the distance of the number from 0 in the number line.

. Example of Absolute value

The absolute value of 3 is denoted by $\left|3\right|$and is equal to 3.

And the absolute value of $-4$is denoted by $|-4|$and is equal to 4.

. Evaluate the expression

To evaluate the value of the expression $44-\left|x\right|$, substitute $-10$ for x and simplify further as shown below,

$\begin{array}{c}44-\left|x\right|=44-|-10|\\ =44-\left(10\right)\\ =44-10\\ =34\end{array}$

Thus, the value of the given expression is 34.