# How do you evaluate abs(-8+11-4)+abs(4+7)?

Mar 10, 2018

See a solution process below:

#### Explanation:

First, evaluate the expressions within the absolute value function:

$\left\mid - 8 + 11 - 4 \right\mid + \left\mid 4 + 7 \right\mid \implies$

$\left\mid 3 - 4 \right\mid + \left\mid 11 \right\mid \implies$

$\left\mid - 1 \right\mid + \left\mid 11 \right\mid$

The absolute value function takes any term and transforms it to its non-negative form

We can now apply the absolute value function and evaluate the expression as:

$1 + 11 \implies 12$

Mar 10, 2018

12

#### Explanation:

Note: Absolute values essentially means to remove any negative sign within the signs - or to think of all numbers as positives within the signs.

So,

$| - 8 + 11 - 4 | + | 4 + 7 |$

$= | - 12 + 11 | + | 4 + 7 |$

$= | - 1 | + | 11 |$

$= 1 + 11$

$= 12$