# How do you find the absolute value of -6?

Jun 23, 2016

$| - 6 | = 6$,
as follows from the definition of absolute value of a real number.

#### Explanation:

Recall the DEFINITION of the absolute value of a real number.

The absolute value of a non-negative number (that is, positive or zero) equals to this same number.
For example,
$| 23 | = 23$,
$| 0 | = 0$,
$| 1234567890 | = 1234567890$

The absolute value of a negative number equals to a negation of this number (that is, a difference between $0$ and this number).
For example,
$| - 23 | = - \left(0 - 23\right) = 23$,
$| - 1234567890 | = - \left(0 - 1234567890\right) = 1234567890$

That's why $| - 6 | = - \left(0 - 6\right) = 6$.