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To find the length of segment \( AB \), we use the formula for the distance between two points on a number line, which is the absolute difference between their coordinates:

\[
AB = |B - A|
\]

Here, the coordinates are \( A = -31 \) and \( B = -13 \).

So, the length \( AB \) is calculated as:

\[
AB = |-13 - (-31)|
\]

Simplifying the expression:

\[
AB = |-13 + 31| = |18| = 18
\]

Thus, the length of \( AB \) is \( \boxed{18} \).

Would you like further details or have any questions?

### Related Questions:
1. How do you find the distance between two points in the coordinate plane?
2. What is the midpoint of a line segment given its endpoints?
3. How can we apply this distance formula to three-dimensional space?
4. Can you explain the concept of absolute value and its importance in this calculation?
5. What are some real-world applications of finding the distance between two points?

### Tip:
When dealing with distances on a number line or a coordinate plane, always remember that distance is a non-negative value, hence the use of absolute value.

Find the length of AB where A = -31 and B = -13 on a number line.

Learn how to find the length of segment AB between two points on a number line where A = -31 and B = -13. This problem uses the formula AB = |B - A| and explores the concept of absolute value. Suitable for Grades 6-8.

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