Question

What is the absolute value of 8?

Answer 1

Hint: Absolute value is that value which shows the distance of a number from 0 on a number line without considering the direction of the number from zero. Absolute value of a positive or negative number is always positive. We have to find $\left| 8 \right|$ .

Complete step by step solution:
We have to find the absolute value of 8. Let us see the definition for an absolute value of a number. Absolute value is that value which shows the distance of a number from 0 on a number line without considering the direction of the number from zero. We know that the absolute value of a number, say, x is denoted as $abs\left( x \right)$ or $\left| x \right|$ . We can say that the absolute value of a positive or negative number is always positive. This can be demonstrated by $\left| x \right|=x$ and \[\left| -x \right|=x\] .
Now, let us take the absolute value of 8.
$\Rightarrow \left| 8 \right|=8$
This means that the distance of 8 from 0 is 8.

Hence the absolute value of 8 is 8.

Note: Students must understand what an absolute value is and how to find the absolute value of a number. They must always keep in mind that no matter what number you get (positive or negative), absolute value will always be positive and ignore the negative sign. We commonly denote absolute value in $\left| {} \right|$ and we call it modulus. We can denote the absolute value of a number, say x, as a function.
$\left| x \right|=\left\{ \begin{matrix}
   x,\text{for }x\ge 0 \\
   -x,\text{ for }x<0 \\
\end{matrix} \right.$
The graph of $\left| x \right|$ includes the first and second quadrant where the graph in the second quadrant will be the mirror of that in the first quadrant.