Question

Which of the following is the value of the expression $\left|x\right|+\left|-5\right|\text{when}x=5$?

$\begin{array}{l}F.-5\\ G.0\\ H.5\\ I.10\end{array}$

Short answer

The value of the expressionis 10.

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.

Step-2 – 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 $\left|-4\right|$and is equal to 4.

Step-3 – Evaluate the expression

To evaluate the value of the expression $\left|x\right|+\left|-5\right|$, substitute 5 for x and simplify further as shown below,

$\begin{array}{l}\left|x\right|+\left|-5\right|=\left|5\right|+\left|-5\right|\\ =5+5\\ =10\end{array}$

Thus, the value of the given expression is 10.

Hence option (I.) is correct.