Problem Overview:
The task involves solving addition and subtraction problems involving both positive and negative numbers. The number line provided at the top of the worksheet can be used as a visual aid to help solve these problems.
Solution Approach:
1.
Understanding Addition and Subtraction with Negative Numbers:
- Adding a positive number moves to the right on the number line.
- Adding a negative number moves to the left on the number line.
- Subtracting a positive number moves to the left on the number line.
- Subtracting a negative number is equivalent to adding a positive number (moves to the right).
2.
Step-by-Step Calculation:
We will solve each problem systematically using the rules above.
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Detailed Solutions:
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Section 1: Problems 1–20
1. \( 5 + (-3) = 5 - 3 = 2 \)
2. \( 5 - (-3) = 5 + 3 = 8 \)
3. \( 2 + (-4) = 2 - 4 = -2 \)
4. \( 2 - (-4) = 2 + 4 = 6 \)
5. \( (-5) + 3 = -5 + 3 = -2 \)
6. \( (-5) - 3 = -5 - 3 = -8 \)
7. \( (-3) + 6 = -3 + 6 = 3 \)
8. \( (-3) - 6 = -3 - 6 = -9 \)
9. \( 2 + (-5) = 2 - 5 = -3 \)
10. \( 2 - (-5) = 2 + 5 = 7 \)
11. \( 7 + (-1) = 7 - 1 = 6 \)
12. \( 7 - (-1) = 7 + 1 = 8 \)
13. \( 1 + (-6) = 1 - 6 = -5 \)
14. \( 1 - (-6) = 1 + 6 = 7 \)
15. \( (-4) + (-5) = -4 - 5 = -9 \)
16. \( (-4) - (-5) = -4 + 5 = 1 \)
17. \( (-3) + (-7) = -3 - 7 = -10 \)
18. \( (-3) - (-7) = -3 + 7 = 4 \)
19. \( 4 + (-6) = 4 - 6 = -2 \)
20. \( 4 - (-6) = 4 + 6 = 10 \)
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Section 2: Problems 21–40
21. \( 3 + (-4) = 3 - 4 = -1 \)
22. \( (-4) - 5 = -4 - 5 = -9 \)
23. \( (-6) + 5 = -6 + 5 = -1 \)
24. \( 2 - (-6) = 2 + 6 = 8 \)
25. \( 3 + (-5) = 3 - 5 = -2 \)
26. \( 5 - (-3) = 5 + 3 = 8 \)
27. \( 8 + (-7) = 8 - 7 = 1 \)
28. \( (-3) - (-4) = -3 + 4 = 1 \)
29. \( 7 + (-10) = 7 - 10 = -3 \)
30. \( (-1) - 7 = -1 - 7 = -8 \)
31. \( (-6) + 11 = -6 + 11 = 5 \)
32. \( (-8) - (-10) = -8 + 10 = 2 \)
33. \( (-10) + 7 = -10 + 7 = -3 \)
34. \( 8 - 12 = -4 \)
35. \( 4 + (-11) = 4 - 11 = -7 \)
36. \( (-6) - 3 = -6 - 3 = -9 \)
37. \( (-5) + (-4) = -5 - 4 = -9 \)
38. \( (-2) - (-10) = -2 + 10 = 8 \)
39. \( (-8) + 15 = -8 + 15 = 7 \)
40. \( (-7) - (-12) = -7 + 12 = 5 \)
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Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 2 \\
2. & 8 \\
3. & -2 \\
4. & 6 \\
5. & -2 \\
6. & -8 \\
7. & 3 \\
8. & -9 \\
9. & -3 \\
10. & 7 \\
11. & 6 \\
12. & 8 \\
13. & -5 \\
14. & 7 \\
15. & -9 \\
16. & 1 \\
17. & -10 \\
18. & 4 \\
19. & -2 \\
20. & 10 \\
21. & -1 \\
22. & -9 \\
23. & -1 \\
24. & 8 \\
25. & -2 \\
26. & 8 \\
27. & 1 \\
28. & 1 \\
29. & -3 \\
30. & -8 \\
31. & 5 \\
32. & 2 \\
33. & -3 \\
34. & -4 \\
35. & -7 \\
36. & -9 \\
37. & -9 \\
38. & 8 \\
39. & 7 \\
40. & 5 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of negative numbers addition and subtraction worksheet.
