### Home > MC2 > Chapter 11 > Lesson 11.2.3 > Problem11-56

11-56.

Simplify each numerical expression.

1. $| 5 - 6 + 1 |$

Simplify within the absolute value signs.

What is $5 − 6 + 1$?

$|5 − 6 + 1| = |0|$

The absolute value of $0$ is $0$.

1. $- 2 | - 16 |$

First find the absolute value of $−16$.

The absolute value is the distance a number is away from $0$, and is always a non negative number. Since $−16$ is $16$ units away from zero, the absolute value is $16$.

What is the product of $-2(16)$?

1. $| 6 - 2 | + | - 8 - 1 |$

Simplify within the absolute value signs first.

$6 − 2 = 4$ and $−8 − 1 = −9$. Therefore we have: $|4| + |−9|$

What is the absolute value for each of these numbers?

$4 + 9 = 13$