The worksheet asks for the following steps:

1. Plot points A and B on the number line.
2. State the distance between them.
3. Determine what must be added to A to get a sum of B.

I’ll walk through the first couple of examples and explain the approach.

Example 1:

• A = 7, B = -2
  • Number Line: Mark 7 and -2 on the number line.
  • Distance: To calculate the distance between 7 and -2, you subtract the smaller from the larger:
    $|7 - (-2)| = |7 + 2| = 9$
  • What must be added to A to get B: To determine what to add to 7 to get -2:
    $7 + (-9) = -2$

Example 2:

• A = -2, B = 7
  • Number Line: Mark -2 and 7 on the number line.
  • Distance:
    $|7 - (-2)| = |7 + 2| = 9$
  • What must be added to A to get B:
    $-2 + 9 = 7$

The same approach applies for the remaining examples:

• Use absolute value to calculate the distance between points.
• Find the difference between A and B to determine what must be added.

Would you like further explanations on specific rows? I can also complete the remaining problems if needed.

Here are some related questions:

1. What is the general method to calculate the distance between two points on a number line?
2. How do you determine what to add to one number to get another?
3. How does adding and subtracting negative numbers affect the solution?
4. Can you explain the concept of absolute value in terms of distance?
5. How can you check your results using reverse operations?

Tip: Always ensure you mark the correct points on the number line before calculating the distance!