The
commutative property of addition states that changing the order of the addends does
not change the sum. In other words:
> $ a + b = b + a $
So, for each problem, we simply
switch the order of the two numbers being added.
Let’s solve each one using this property:
---
Left Column:
1. $ 5 + 6 = 6 + 5 $
2. $ 21 + 6 = 6 + 21 $
3. $ 8 + 7 = 7 + 8 $
4. $ 1 + 11 = 11 + 1 $
5. $ 5 + 16 = 16 + 5 $
6. $ 3 + 10 = 10 + 3 $
7. $ 2 + 13 = 13 + 2 $
8. $ 17 + 5 = 5 + 17 $
---
Right Column:
1. $ 7 + 2 = 2 + 7 $
2. $ 3 + 9 = 9 + 3 $
3. $ 6 + 2 = 2 + 6 $
4. $ 12 + 5 = 5 + 12 $
5. $ 18 + 2 = 2 + 18 $
6. $ 4 + 3 = 3 + 4 $
7. $ 14 + 8 = 8 + 14 $
8. $ 6 + 15 = 15 + 6 $
---
Final Answer (written in commutative form):
$$
\begin{align*}
5 + 6 &= 6 + 5 \\
21 + 6 &= 6 + 21 \\
8 + 7 &= 7 + 8 \\
1 + 11 &= 11 + 1 \\
5 + 16 &= 16 + 5 \\
3 + 10 &= 10 + 3 \\
2 + 13 &= 13 + 2 \\
17 + 5 &= 5 + 17 \\
\\
7 + 2 &= 2 + 7 \\
3 + 9 &= 9 + 3 \\
6 + 2 &= 2 + 6 \\
12 + 5 &= 5 + 12 \\
18 + 2 &= 2 + 18 \\
4 + 3 &= 3 + 4 \\
14 + 8 &= 8 + 14 \\
6 + 15 &= 15 + 6 \\
\end{align*}
$$
✔ Explanation: The commutative property allows us to reverse the order of the numbers in an addition expression without changing the result. This is why $ 5 + 6 $ is equal to $ 6 + 5 $, and so on.
This concept helps build number sense and flexibility in mental math!
Parent Tip: Review the logic above to help your child master the concept of commutative property of addition worksheet 2nd grade.
