Question

What is the absolute value of $\dfrac{0}{2}$ ?

Answer 1

Hint: To find the absolute value of $\dfrac{0}{2}$ , we will simplify $\dfrac{0}{2}$ and take its absolute value. Absolute value is a value that 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.

Complete step by step solution:
We have to find the absolute value of $\dfrac{0}{2}$ . Let us see what an absolute value of a number is. Absolute value is a value that shows the distance of a number from 0 on a number line without considering the direction of the number from zero. We can say that the absolute value of a positive or negative number is always positive. We can denote the absolute value of a number, say, x as $abs\left( x \right)$ or $\left| x \right|$ . We can say that $\left| x \right|=x$ and \[\left| -x \right|=x\] .
Let us first solve $\dfrac{0}{2}$ . We know that 0 divided by any number gives 0.
$\Rightarrow \dfrac{0}{2}=0$
Now, we have to take the absolute value of 0.
$\Rightarrow \left| 0 \right|=0$
This means that the distance of 0 from 0 is 0 itself.
Hence the absolute value of $\dfrac{0}{2}$ is 0.

Note: Students must know the meaning of absolute value and how it is found. They must always simplify the numbers or expressions before taking its absolute value. They must always keep in mind that the absolute value of a negative number ignores its sign.