Evaluate Evaluate |5|-|-3|+|-7|

Evaluate $| 5 | - | - 3 | + | - 7 |$

Step 1

Simplify each term.

The absolute value is the distance between a number and zero. The distance between $0$ and $5$ is $5$ .

$5 - | - 3 | + | - 7 |$

The absolute value is the distance between a number and zero. The distance between $- 3$ and $0$ is $3$ .

$5 - 1 \cdot 3 + | - 7 |$

Multiply $- 1$ by $3$ .

$5 - 3 + | - 7 |$

The absolute value is the distance between a number and zero. The distance between $- 7$ and $0$ is $7$ .

$5 - 3 + 7$

Step 2

Simplify by adding and subtracting.

Subtract $3$ from $5$ .

$2 + 7$

Add $2$ and $7$ .

$9$