Problem: Addition Integer Modeling
The task is to solve the given integer addition problems and represent them on number lines. Here's how to approach each problem step by step:
---
####
1. \(-2 + 6 =\)
- Start at \(-2\) on the number line.
- Move \(6\) units to the right (since you are adding a positive number).
- You end up at \(4\).
Answer: \(-2 + 6 = 4\)
---
####
2. \(-4 + (-2) =\)
- Start at \(-4\) on the number line.
- Move \(2\) units to the left (since you are adding a negative number).
- You end up at \(-6\).
Answer: \(-4 + (-2) = -6\)
---
####
3. \(-5 + 3 =\)
- Start at \(-5\) on the number line.
- Move \(3\) units to the right (since you are adding a positive number).
- You end up at \(-2\).
Answer: \(-5 + 3 = -2\)
---
####
4. \(2 + 5 =\)
- Start at \(2\) on the number line.
- Move \(5\) units to the right (since you are adding a positive number).
- You end up at \(7\).
Answer: \(2 + 5 = 7\)
---
####
5. \(9 + (-4) =\)
- Start at \(9\) on the number line.
- Move \(4\) units to the left (since you are adding a negative number).
- You end up at \(5\).
Answer: \(9 + (-4) = 5\)
---
####
6. \(-3 + (-4) =\)
- Start at \(-3\) on the number line.
- Move \(4\) units to the left (since you are adding a negative number).
- You end up at \(-7\).
Answer: \(-3 + (-4) = -7\)
---
####
7. \(-8 + (-1) =\)
- Start at \(-8\) on the number line.
- Move \(1\) unit to the left (since you are adding a negative number).
- You end up at \(-9\).
Answer: \(-8 + (-1) = -9\)
---
####
8. \(5 + (-4) =\)
- Start at \(5\) on the number line.
- Move \(4\) units to the left (since you are adding a negative number).
- You end up at \(1\).
Answer: \(5 + (-4) = 1\)
---
####
9. \(3 + 6 =\)
- Start at \(3\) on the number line.
- Move \(6\) units to the right (since you are adding a positive number).
- You end up at \(9\).
Answer: \(3 + 6 = 9\)
---
####
10. \(-1 + (-6) =\)
- Start at \(-1\) on the number line.
- Move \(6\) units to the left (since you are adding a negative number).
- You end up at \(-7\).
Answer: \(-1 + (-6) = -7\)
---
Final Answers:
1. \(-2 + 6 = 4\)
2. \(-4 + (-2) = -6\)
3. \(-5 + 3 = -2\)
4. \(2 + 5 = 7\)
5. \(9 + (-4) = 5\)
6. \(-3 + (-4) = -7\)
7. \(-8 + (-1) = -9\)
8. \(5 + (-4) = 1\)
9. \(3 + 6 = 9\)
10. \(-1 + (-6) = -7\)
Boxed Final Answer:
\[
\boxed{
\begin{aligned}
1. & \quad 4 \\
2. & \quad -6 \\
3. & \quad -2 \\
4. & \quad 7 \\
5. & \quad 5 \\
6. & \quad -7 \\
7. & \quad -9 \\
8. & \quad 1 \\
9. & \quad 9 \\
10. & \quad -7 \\
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of addition of integers worksheet.
