Let's solve the problems in your image step by step, using the
Commutative Property of Addition, which states:
>
a + b = b + a
This means you can switch the order of the numbers when adding, and the sum remains the same. This property helps make addition easier by rearranging numbers to simplify calculations.
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🔹 Part 1: ADD. (Basic Practice)
We'll fill in the blanks using the commutative property.
1.
4 + 6 = 10
→ 6 + 4 =
10
2.
3 + 9 = 12
→ 9 + 3 =
12
3.
12 + 5 = 17
→ 5 + 12 =
17
4.
20 + 3 = 23
→ 3 + 20 =
23
5.
15 + 12 = 27
→ 12 + 15 =
27
6.
22 + 4 = 26
→ 4 + 22 =
26
7.
66 + 4 = 70
→ 4 + 66 =
70
8.
32 + 18 = 50
→ 18 + 32 =
50
9.
59 + 11 = 70
→ 11 + 59 =
70
✔ All answers are correct based on the commutative property.
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🔹 Part 2: USE THE COMMUTATIVE PROPERTY TO HELP YOU ADD
Now we’ll use the property to
rearrange numbers to make addition easier.
Let’s go one by one:
1.
8 + 32 = ?
→ Switch: 32 + 8 =
40
2.
5 + 34 = ?
→ 34 + 5 =
39
3.
16 + 6 = ?
→ 6 + 16 =
22
4.
58 + 8 = ?
→ 8 + 58 =
66
5.
90 + 4 = ?
→ 4 + 90 =
94
6.
29 + 8 = ?
→ 8 + 29 =
37
7.
88 + 7 = ?
→ 7 + 88 =
95
8.
10 + 72 = ?
→ 72 + 10 =
82
9.
32 + 5 = ?
→ 5 + 32 =
37
10.
63 + 22 = ?
→ 22 + 63 =
85
11.
62 + 2 = ?
→ 2 + 62 =
64
12.
55 + 9 = ?
→ 9 + 55 =
64
13.
78 + 18 = ?
→ 18 + 78 =
96
14.
30 + 3 = ?
→ 3 + 30 =
33
15.
105 + 62 = ?
→ 62 + 105 =
167
16.
94 + 38 = ?
→ 38 + 94 =
132
17.
48 + 65 = ?
→ 65 + 48 =
113
18.
69 + 25 = ?
→ 25 + 69 =
94
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✔ Final Answers:
#### Part 1: ADD.
1. 10
2. 12
3. 17
4. 23
5. 27
6. 26
7. 70
8. 50
9. 70
#### Part 2: Use Commutative Property
1. 40
2. 39
3. 22
4. 66
5. 94
6. 37
7. 95
8. 82
9. 37
10. 85
11. 64
12. 64
13. 96
14. 33
15. 167
16. 132
17. 113
18. 94
---
📌 Explanation:
The
commutative property allows us to
switch the order of addends without changing the sum. For example:
- Instead of calculating 69 + 25, we can do 25 + 69 — it’s easier to add 25 to 69 mentally.
This is especially helpful for mental math or simplifying large numbers.
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✔ All problems solved using the commutative property of addition!
Let me know if you'd like this as a printable worksheet or with visual explanations!
Parent Tip: Review the logic above to help your child master the concept of associative commutative and distributive properties worksheet.
