# Whats the absolute value of 8?

Jun 29, 2015

The absolute value of $8$ is $8$.

In symbols: $\left\mid 8 \right\mid = 8$

#### Explanation:

The absolute value of a number is its 'size'. For positive numbers the size is the same as the number. For negative numbers it is the corresponding positive number.

In symbols:

$\left\mid x \right\mid = \left\mid - x \right\mid = x$ when $x \ge 0$

Another way of thinking of it is to imagine numbers laid out in order, evenly spaced on a line with $0$ at the centre, negative numbers on the left and positive numbers on the right, with $1$ being a unit distance from $0$. The absolute value of any number is then its distance from $0$.