Problem Analysis:
The task involves solving a series of addition problems where the sums do not exceed 12. Additionally, there is a key question about the effect of changing the order of the numbers in an addition problem.
Step-by-Step Solution:
#### Part 1: Solving the Addition Problems
We will solve each addition problem step by step:
1. \( 3 + 2 = 5 \)
2. \( 2 + 3 = 5 \)
3. \( 1 + 4 = 5 \)
4. \( 4 + 1 = 5 \)
5. \( 5 + 2 = 7 \)
6. \( 6 + 1 = 7 \)
7. \( 0 + 3 = 3 \)
8. \( 3 + 2 = 5 \)
9. \( 5 + 1 = 6 \)
10. \( 2 + 4 = 6 \)
11. \( 2 + 5 = 7 \)
12. \( 5 + 3 = 8 \)
13. \( 7 + 2 = 9 \)
14. \( 1 + 7 = 8 \)
15. \( 5 + 2 = 7 \)
16. \( 4 + 4 = 8 \)
17. \( 2 + 6 = 8 \)
18. \( 1 + 9 = 10 \)
19. \( 3 + 5 = 8 \)
20. \( 8 + 2 = 10 \)
#### Part 2: Key Question
The key question asks:
What happens when you change the order of the numbers?
For example:
- \( 3 + 6 \) and \( 6 + 3 \)
- \( 2 + 5 \) and \( 5 + 2 \)
From the commutative property of addition, we know that changing the order of the numbers in an addition problem does not affect the sum. Mathematically, this is expressed as:
\[ a + b = b + a \]
Let's verify this with the examples given:
1. \( 3 + 6 = 9 \) and \( 6 + 3 = 9 \)
2. \( 2 + 5 = 7 \) and \( 5 + 2 = 7 \)
In both cases, the sums are the same, confirming the commutative property.
Final Answer:
The solutions to the addition problems are:
1. \( 5 \)
2. \( 5 \)
3. \( 5 \)
4. \( 5 \)
5. \( 7 \)
6. \( 7 \)
7. \( 3 \)
8. \( 5 \)
9. \( 6 \)
10. \( 6 \)
11. \( 7 \)
12. \( 8 \)
13. \( 9 \)
14. \( 8 \)
15. \( 7 \)
16. \( 8 \)
17. \( 8 \)
18. \( 10 \)
19. \( 8 \)
20. \( 10 \)
For the key question:
- Changing the order of the numbers in an addition problem does not affect the sum. This is because addition is commutative.
\[
\boxed{
\begin{array}{ll}
1. & 5 \\
2. & 5 \\
3. & 5 \\
4. & 5 \\
5. & 7 \\
6. & 7 \\
7. & 3 \\
8. & 5 \\
9. & 6 \\
10. & 6 \\
11. & 7 \\
12. & 8 \\
13. & 9 \\
14. & 8 \\
15. & 7 \\
16. & 8 \\
17. & 8 \\
18. & 10 \\
19. & 8 \\
20. & 10 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of math worksheets for grade 1.
