Question

What is the absolute value of 0?

Answer 1

It's 0.

By definition, the absolute value of a number
`x` is

`|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x<0\end{cases}`

so it follows that |0| = 0.

Intuitively, the quantity
`|a-b|` can be thought of as "the distance between the numbers
`a` and
`b` on the real line". If
`a=b=0`, asking about |0| is the same as asking "how far away is 0 from 0 on the number line?" to which we answer, 0.

Answer 2

The absolute value of any number is the positive version of that number.

However, there is an exception which I have provided in the image attached.