Question

Find the value of $\left|5-8\right|$

Answer 1

Let's find the value of $\left|5-8\right|$

If the given numbers are of unlike signs, let's subtract the absolute values directly and give the sign of the largest absolute valued integer to the result.

So, let's add additive inverse of $8=(-8)$ to $5$

So, $\begin{array}{rcl}\left|5-8\right|& =& \left|5+(-8)\right|\\ & =& \left|-3\right|\end{array}$

Since absolute value of a number denotes the distance between zero and that number in a number line.

So,

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

Hence, the answer is $3$