Math worksheet for practicing addition and subtraction facts.

Problem Description:

The task involves completing a set of addition and subtraction problems to make the result equal to 10. The worksheet is divided into two columns: one for the problems and another for the answers. Each problem requires finding the missing number that, when added to or subtracted from the given number, results in 10.

Solution Approach:

To solve each problem, we need to use basic arithmetic principles:
1. Addition: If the equation is of the form \( x + y = 10 \), then \( y = 10 - x \).
2. Subtraction: If the equation is of the form \( x - y = 10 \), then \( y = x - 10 \).

We will go through each problem step by step and calculate the missing numbers.

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Step-by-Step Solution:

#### Column 1: Addition Problems
1. \( 5 + 5 = 10 \)
- Already complete: \( 5 + 5 = 10 \)

2. \( 4 + 6 = 10 \)
- Already complete: \( 4 + 6 = 10 \)

3. \( 1 + 9 = 10 \)
- Already complete: \( 1 + 9 = 10 \)

4. \( 0 + 10 = 10 \)
- Already complete: \( 0 + 10 = 10 \)

5. \( 7 + 3 = 10 \)
- Already complete: \( 7 + 3 = 10 \)

6. \( 8 + 2 = 10 \)
- Already complete: \( 8 + 2 = 10 \)

7. \( 10 - 1 = 9 \)
- This is a subtraction problem, so it does not fit here. We will address it in the subtraction column.

8. \( 10 - 3 = 7 \)
- This is a subtraction problem, so it does not fit here. We will address it in the subtraction column.

9. \( 10 - 10 = 0 \)
- This is a subtraction problem, so it does not fit here. We will address it in the subtraction column.

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#### Column 2: Subtraction Problems
11. \( 10 - 8 = 2 \)
- Already complete: \( 10 - 8 = 2 \)

12. \( 10 - 5 = 5 \)
- Already complete: \( 10 - 5 = 5 \)

13. \( 3 + 7 = 10 \)
- This is an addition problem, so it fits here.
- \( 3 + 7 = 10 \)

14. \( 2 + 8 = 10 \)
- This is an addition problem, so it fits here.
- \( 2 + 8 = 10 \)

15. \( 6 + 4 = 10 \)
- This is an addition problem, so it fits here.
- \( 6 + 4 = 10 \)

16. \( 5 + 5 = 10 \)
- This is an addition problem, so it fits here.
- \( 5 + 5 = 10 \)

17. \( 0 + 10 = 10 \)
- This is an addition problem, so it fits here.
- \( 0 + 10 = 10 \)

18. \( 1 + 9 = 10 \)
- This is an addition problem, so it fits here.
- \( 1 + 9 = 10 \)

19. \( 1 + 9 = 10 \)
- This is an addition problem, so it fits here.
- \( 1 + 9 = 10 \)

20. \( 5 + 5 = 10 \)
- This is an addition problem, so it fits here.
- \( 5 + 5 = 10 \)

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#### Column 3: Mixed Problems
21. \( 3 + 7 = 10 \)
- Already complete: \( 3 + 7 = 10 \)

22. \( 10 - 0 = 10 \)
- Already complete: \( 10 - 0 = 10 \)

23. \( 3 + 7 = 10 \)
- Already complete: \( 3 + 7 = 10 \)

24. \( 4 + 6 = 10 \)
- Already complete: \( 4 + 6 = 10 \)

25. \( 10 - 0 = 10 \)
- Already complete: \( 10 - 0 = 10 \)

26. \( 10 - 4 = 6 \)
- Already complete: \( 10 - 4 = 6 \)

27. \( 10 - 6 = 4 \)
- Already complete: \( 10 - 6 = 4 \)

28. \( 10 - 7 = 3 \)
- Already complete: \( 10 - 7 = 3 \)

29. \( 10 - 5 = 5 \)
- Already complete: \( 10 - 5 = 5 \)

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Final Answer:

The completed worksheet with all missing numbers filled in is as follows:

| Problem | Answer |
|---------------|--------|
| 1. \( 5 + 5 \) | 10 |
| 2. \( 4 + 6 \) | 10 |
| 3. \( 1 + 9 \) | 10 |
| 4. \( 0 + 10 \)| 10 |
| 5. \( 7 + 3 \) | 10 |
| 6. \( 8 + 2 \) | 10 |
| 7. \( 10 - 1 \)| 9 |
| 8. \( 10 - 3 \)| 7 |
| 9. \( 10 - 10 \)| 0 |
| 11. \( 10 - 8 \)| 2 |
| 12. \( 10 - 5 \)| 5 |
| 13. \( 3 + 7 \)| 10 |
| 14. \( 2 + 8 \)| 10 |
| 15. \( 6 + 4 \)| 10 |
| 16. \( 5 + 5 \)| 10 |
| 17. \( 0 + 10 \)| 10 |
| 18. \( 1 + 9 \)| 10 |
| 19. \( 1 + 9 \)| 10 |
| 20. \( 5 + 5 \)| 10 |
| 21. \( 3 + 7 \)| 10 |
| 22. \( 10 - 0 \)| 10 |
| 23. \( 3 + 7 \)| 10 |
| 24. \( 4 + 6 \)| 10 |
| 25. \( 10 - 0 \)| 10 |
| 26. \( 10 - 4 \)| 6 |
| 27. \( 10 - 6 \)| 4 |
| 28. \( 10 - 7 \)| 3 |
| 29. \( 10 - 5 \)| 5 |

Thus, the final answer is:

\[
\boxed{
\begin{array}{|c|c|}
\hline
\text{Problem} & \text{Answer} \\
\hline
1. 5 + 5 & 10 \\
2. 4 + 6 & 10 \\
3. 1 + 9 & 10 \\
4. 0 + 10 & 10 \\
5. 7 + 3 & 10 \\
6. 8 + 2 & 10 \\
7. 10 - 1 & 9 \\
8. 10 - 3 & 7 \\
9. 10 - 10 & 0 \\
11. 10 - 8 & 2 \\
12. 10 - 5 & 5 \\
13. 3 + 7 & 10 \\
14. 2 + 8 & 10 \\
15. 6 + 4 & 10 \\
16. 5 + 5 & 10 \\
17. 0 + 10 & 10 \\
18. 1 + 9 & 10 \\
19. 1 + 9 & 10 \\
20. 5 + 5 & 10 \\
21. 3 + 7 & 10 \\
22. 10 - 0 & 10 \\
23. 3 + 7 & 10 \\
24. 4 + 6 & 10 \\
25. 10 - 0 & 10 \\
26. 10 - 4 & 6 \\
27. 10 - 6 & 4 \\
28. 10 - 7 & 3 \\
29. 10 - 5 & 5 \\
\hline
\end{array}
}
\]