Let's examine the number line and solve each part of the question.

Part A

To find an expression using absolute value for the distance between points $P$ and $Q$, we need the coordinates of $P$ and $Q$:

• Point $P$ is at $-7$.
• Point $Q$ is at $6$.

The absolute value expression for the distance between two points on a number line is: $|Q - P| = |6 - (-7)|$

Simplifying this expression: $|6 - (-7)| = |6 + 7| = |13| = 13$

Part B

The distance between points $P$ and $Q$ is $13$ units, as calculated in Part A.

Would you like further explanation on absolute values or have any questions?

Here are 5 related questions to explore further:

1. How do you find the distance between two points on a coordinate plane?
2. What is the absolute value, and why is it always non-negative?
3. How would the expression change if both points were positive or both negative?
4. Can absolute value expressions be used in real-world distance calculations?
5. How can you use absolute value to find differences in temperature?

Tip: Absolute value helps find the "distance" between numbers, regardless of their direction on the number line.