https://file.aiquickdraw.com/mathbot/file/1730419391765new0ti6x.jpg

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.

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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.

Consider the number line below.

Part A: Enter an expression using absolute value that is equivalent to the distance between point P and point Q.
Part B: Enter the distance between point P and point Q.

Learn how to find the distance between two points on a number line using absolute value. This example problem involves calculating the distance between points P (-7) and Q (6) with a clear step-by-step solution, suitable for students in Grades 6-8.

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