# How do you simplify abs(11-pi)?

Jul 9, 2016

$\left\mid 11 - \pi \right\mid = \textcolor{b l u e}{11 - \pi}$ or, approximately, $\textcolor{b l u e}{7.85841}$

#### Explanation:

$\pi$ is just a number which is less than $11$

So
$\textcolor{w h i t e}{\text{XXX}} 11 - \pi > 0$
and
$\textcolor{w h i t e}{\text{XXX}} \left\mid 11 - \pi \right\mid = 11 - \pi$

Using the approximation $\pi = 3.14159$
$\textcolor{w h i t e}{\text{XXX}} 11 - \pi = 7.85841$