Here's the completed worksheet with explanations for each answer.
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**Mathematics
Addition Properties**
Instructions:
Identify the addition property used in each question.
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1. 5 + 0 = 5
✔ Identity Property of Addition
*Explanation:* Adding zero to any number does not change its value. Zero is called the "additive identity."
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2. 8 + 10 = 10 + 8
✔ Commutative Property of Addition
*Explanation:* The order of the numbers can be switched without changing the sum. a + b = b + a.
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3. (11 + 2) + 8 = 11 + (2 + 8)
✔ Associative Property of Addition
*Explanation:* The way numbers are grouped (with parentheses) does not affect the sum. (a + b) + c = a + (b + c).
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4. 12 + 0 = 12
✔ Identity Property of Addition
*Explanation:* Again, adding zero leaves the number unchanged.
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5. 9 + 3 = 3 + 9
✔ Commutative Property of Addition
*Explanation:* Swapping the order of addends doesn’t change the result.
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Compute the following addition equations mentally using the addition properties learnt.
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6. 7 + 0 =
✔ 7
*Explanation:* Identity Property — any number plus zero equals itself.
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7. 6 + (4 + 2) =
✔ 12
*Explanation:* Use Associative Property: You can regroup as (6 + 4) + 2 = 10 + 2 = 12. Or compute inside parentheses first: 4 + 2 = 6, then 6 + 6 = 12.
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8. 9 + 2 =
✔ 11
*Explanation:* No specific property needed here — it’s a basic fact. But if you want to use a property, you could think of it as 2 + 9 (Commutative), which might be easier for some to compute mentally.
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9. (2 + 1) + 5 =
✔ 8
*Explanation:* Use Associative Property: Regroup as 2 + (1 + 5) = 2 + 6 = 8. Or compute step-by-step: 2 + 1 = 3, then 3 + 5 = 8.
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10. 286 + 0 =
✔ 286
*Explanation:* Identity Property — adding zero doesn’t change the number.
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✔ Final Answer Key:
1. Identity Property of Addition
2. Commutative Property of Addition
3. Associative Property of Addition
4. Identity Property of Addition
5. Commutative Property of Addition
6. 7
7. 12
8. 11
9. 8
10. 286
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Let me know if you’d like a printable version or further practice!
Parent Tip: Review the logic above to help your child master the concept of identity property of addition worksheet 3rd grade.
