Addition facts to 12 worksheet with problems and a key question about changing the order of numbers.

Problem Description:

The image shows an addition facts worksheet with 20 problems. The task is to solve each addition problem and explain the solution.

Worksheet Problems:

1. \( 3 + 2 = \)
2. \( 12 + 5 = \)
3. \( 1 + 0 = \)
4. \( 4 + 1 = \)
5. \( 5 + 2 = \)
6. \( 6 + 1 = \)
7. \( 0 + 3 = \)
8. \( 3 + 7 = \)
9. \( 1 + 9 = \)
10. \( 5 + 1 = \)
11. \( 12 + 0 = \)
12. \( 12 + 5 = \)
13. \( 7 + 2 = \)
14. \( 1 + 7 = \)
15. \( 5 + 1 = \)
16. \( 6 + 4 = \)
17. \( 2 + 6 = \)
18. \( 1 + 9 = \)
19. \( 3 + 5 = \)
20. \( 12 + 2 = \)

Additionally, there is a question at the bottom asking what happens when you change the order of the numbers in an addition problem (e.g., \( 3 + 6 = 6 + 3 \)).

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Solution:

#### Step 1: Solve Each Addition Problem
We will solve each problem step by step:

1. \( 3 + 2 = 5 \)
2. \( 12 + 5 = 17 \)
3. \( 1 + 0 = 1 \)
4. \( 4 + 1 = 5 \)
5. \( 5 + 2 = 7 \)
6. \( 6 + 1 = 7 \)
7. \( 0 + 3 = 3 \)
8. \( 3 + 7 = 10 \)
9. \( 1 + 9 = 10 \)
10. \( 5 + 1 = 6 \)
11. \( 12 + 0 = 12 \)
12. \( 12 + 5 = 17 \)
13. \( 7 + 2 = 9 \)
14. \( 1 + 7 = 8 \)
15. \( 5 + 1 = 6 \)
16. \( 6 + 4 = 10 \)
17. \( 2 + 6 = 8 \)
18. \( 1 + 9 = 10 \)
19. \( 3 + 5 = 8 \)
20. \( 12 + 2 = 14 \)

#### Step 2: Organize the Solutions
Here are the solutions to all the problems:

1. \( 3 + 2 = 5 \)
2. \( 12 + 5 = 17 \)
3. \( 1 + 0 = 1 \)
4. \( 4 + 1 = 5 \)
5. \( 5 + 2 = 7 \)
6. \( 6 + 1 = 7 \)
7. \( 0 + 3 = 3 \)
8. \( 3 + 7 = 10 \)
9. \( 1 + 9 = 10 \)
10. \( 5 + 1 = 6 \)
11. \( 12 + 0 = 12 \)
12. \( 12 + 5 = 17 \)
13. \( 7 + 2 = 9 \)
14. \( 1 + 7 = 8 \)
15. \( 5 + 1 = 6 \)
16. \( 6 + 4 = 10 \)
17. \( 2 + 6 = 8 \)
18. \( 1 + 9 = 10 \)
19. \( 3 + 5 = 8 \)
20. \( 12 + 2 = 14 \)

#### Step 3: Answer the Additional Question
The question asks what happens when you change the order of the numbers in an addition problem. For example, consider \( 3 + 6 \) and \( 6 + 3 \):

- \( 3 + 6 = 9 \)
- \( 6 + 3 = 9 \)

The result is the same. This demonstrates the commutative property of addition, which states that the order of the numbers being added does not affect the sum. Mathematically, this is expressed as:
\[
a + b = b + a
\]

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Final Answer:

\[
\boxed{
\begin{aligned}
1. & \ 5 \\
2. & \ 17 \\
3. & \ 1 \\
4. & \ 5 \\
5. & \ 7 \\
6. & \ 7 \\
7. & \ 3 \\
8. & \ 10 \\
9. & \ 10 \\
10. & \ 6 \\
11. & \ 12 \\
12. & \ 17 \\
13. & \ 9 \\
14. & \ 8 \\
15. & \ 6 \\
16. & \ 10 \\
17. & \ 8 \\
18. & \ 10 \\
19. & \ 8 \\
20. & \ 14 \\
\end{aligned}
}
\]
When you change the order of the numbers in an addition problem, the sum remains the same due to the commutative property of addition.