Let's solve each problem on the worksheet and identify whether it demonstrates the
Identity Property or the
Commutative Property of addition.
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🔹 Definitions:
-
Identity Property of Addition:
Adding zero to any number does not change the number.
Example: $ a + 0 = a $
-
Commutative Property of Addition:
The order of the numbers does not affect the sum.
Example: $ a + b = b + a $
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Now, let's go through each problem:
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1.
6+5=___+6
→ This shows that 6 + 5 = 5 + 6
→ The order is switched.
✔ Property: Commutative
2.
0+7=___
→ 0 + 7 = 7
→ Adding zero doesn’t change the number.
✔ Property: Identity
3.
7+3=___+7
→ 7 + 3 = 3 + 7
→ Order is switched.
✔ Property: Commutative
4.
3+___=3
→ To make this true, we need: 3 + 0 = 3
→ Adding zero keeps the number unchanged.
✔ Property: Identity
5.
___+5=5+4
→ We are solving: ? + 5 = 5 + 4 → ? + 5 = 9 → ? = 4
So: 4 + 5 = 5 + 4
→ The order is switched.
✔ Property: Commutative
6.
52+0=___
→ 52 + 0 = 52
→ Adding zero doesn't change the number.
✔ Property: Identity
7.
8+6=6+___
→ 8 + 6 = 6 + 8
→ Order is switched.
✔ Property: Commutative
8.
___+3=3+2
→ ? + 3 = 3 + 2 → ? + 3 = 5 → ? = 2
So: 2 + 3 = 3 + 2
→ Order is switched.
✔ Property: Commutative
9.
0+1,500=___
→ 0 + 1,500 = 1,500
→ Adding zero doesn't change the number.
✔ Property: Identity
10.
13+___=13
→ 13 + ? = 13 → ? = 0
→ Adding zero keeps the number the same.
✔ Property: Identity
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✔ Final Answers:
| Problem | Answer | Property |
|--------|--------|---------|
| 1. 6+5=___+6 | 5 | Commutative |
| 2. 0+7=___ | 7 | Identity |
| 3. 7+3=___+7 | 3 | Commutative |
| 4. 3+___=3 | 0 | Identity |
| 5. ___+5=5+4 | 4 | Commutative |
| 6. 52+0=___ | 52 | Identity |
| 7. 8+6=6+___ | 8 | Commutative |
| 8. ___+3=3+2 | 2 | Commutative |
| 9. 0+1,500=___ | 1,500 | Identity |
| 10. 13+___=13 | 0 | Identity |
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📝 Summary:
-
Commutative Property: Problems 1, 3, 5, 7, 8 (order changes)
-
Identity Property: Problems 2, 4, 6, 9, 10 (zero added)
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of addition properties worksheet 3rd grade.
