The problem asks to write an expression using absolute value to find the distance between points $A$ and $B$ on the number line, and then calculate that distance.

From the number line:

• Point $A$ is located at $-5$,
• Point $B$ is located at $2$.

Distance Formula Using Absolute Value

The distance between two points on a number line can be found using the absolute value of the difference between their coordinates: $\text{Distance} = |B - A|$

Substitute the values for $A = -5$ and $B = 2$: $\text{Distance} = |2 - (-5)| = |2 + 5| = |7|$

Since the absolute value of 7 is just 7, the distance between the points is: $\boxed{7}$

Would you like further details or have any questions?

Here are 5 related questions:

1. How would the distance change if one of the points were negative and the other positive?
2. Can the absolute value distance formula apply to points in 2D space?
3. What is the meaning of absolute value in the context of distances?
4. If $A$ was at $0$ and $B$ stayed at $2$, how would the distance be calculated?
5. How can the concept of absolute value be used in real-world measurements?

Tip: In geometry, the absolute value is often used to simplify problems involving distances, as it ensures non-negative results, which are key when measuring distances.