Find the Exact Value |6-4|-|3-8|

$| 6 - 4 | - | 3 - 8 |$

Step 1

Simplify each term.

Subtract $4$ from $6$ .

$| 2 | - | 3 - 8 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$2 - | 3 - 8 |$

Subtract $8$ from $3$ .

$2 - | - 5 |$

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

$2 - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$2 - 5$

Step 2

Subtract $5$ from $2$ .

$- 3$