Evaluate |8|-|4|+|-1|

$| 8 | - | 4 | + | - 1 |$

Simplify each term.

The absolute value is the distance between a number and zero. The distance between $0$ and $8$ is $8$ .

$8 - | 4 | + | - 1 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $4$ is $4$ .

$8 - 1 \cdot 4 + | - 1 |$

Multiply $- 1$ by $4$ .

$8 - 4 + | - 1 |$

The absolute value is the distance between a number and zero. The distance between $- 1$ and $0$ is $1$ .

$8 - 4 + 1$

Simplify by adding and subtracting.

Subtract $4$ from $8$ .

$4 + 1$

Add $4$ and $1$ .

$5$