Grade 2 math worksheet on addition properties, including commutative, associative, and identity properties with practice problems.

Let's solve the worksheet step by step and explain each part clearly.

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Part 1: Compute the following addition equations mentally using the addition properties.

We will use the properties of addition:
- Commutative Property: You can add numbers in any order.
- Associative Property: You can group numbers in any way.
- Identity Property: Adding zero to any number gives the same number.

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#### 1) Solve the equations:

a) 43 + 0 = ________

- This uses the Identity Property because adding zero to a number doesn't change it.
- So, 43 + 0 = 43

✔ Answer: 43

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b) 5 + (4 + 6) = ________

- First, look at the parentheses: (4 + 6) = 10
- Then: 5 + 10 = 15
- This uses the Associative Property — we grouped 4 and 6 first.
- Alternatively, you could think: 5 + 4 + 6 = (5 + 4) + 6 = 9 + 6 = 15 → same result.

✔ Answer: 15

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c) 7 + 3 = ________

- Simple addition: 7 + 3 = 10
- This is straightforward, but if needed, we could use Commutative Property (7 + 3 = 3 + 7), but no grouping or zero involved.

✔ Answer: 10

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d) 456 + 0 = ________

- Again, this uses the Identity Property — adding zero doesn’t change the number.
- So, 456 + 0 = 456

✔ Answer: 456

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e) 2 + (1 + 9) = ________

- First, compute inside the parentheses: 1 + 9 = 10
- Then: 2 + 10 = 12
- This uses the Associative Property — grouping 1 and 9 together.

✔ Answer: 12

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f) 6 + 6 = ________

- Just double 6: 6 + 6 = 12
- No special property needed here unless you're thinking of commutative (6 + 6 = 6 + 6), but it's basic addition.

✔ Answer: 12

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✔ Part 1 Answers:

1. 43 + 0 = 43
2. 5 + (4 + 6) = 15
3. 7 + 3 = 10
4. 456 + 0 = 456
5. 2 + (1 + 9) = 12
6. 6 + 6 = 12

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Part 2: Identify the addition property used in each question.

#### a) 2 + 0 = 2

- Here, we are adding zero to 2, and the result is still 2.
- This is the Identity Property.

✔ Answer: Identity Property

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#### b) 52 + 0 = 52

- Again, adding zero to a number gives the same number.
- This is also the Identity Property.

✔ Answer: Identity Property

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✔ Part 2 Answers:

1. 2 + 0 = 2 → Identity Property
2. 52 + 0 = 52 → Identity Property

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📌 Summary:

| Question | Answer | Property Used |
|--------|--------|----------------|
| 43 + 0 | 43 | Identity |
| 5 + (4 + 6) | 15 | Associative |
| 7 + 3 | 10 | None specifically (basic addition) |
| 456 + 0 | 456 | Identity |
| 2 + (1 + 9) | 12 | Associative |
| 6 + 6 | 12 | None (just addition) |
| 2 + 0 = 2 | Identity Property |
| 52 + 0 = 52 | Identity Property |

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✔ Final Answers:

1)
- 43 + 0 = 43
- 5 + (4 + 6) = 15
- 7 + 3 = 10
- 456 + 0 = 456
- 2 + (1 + 9) = 12
- 6 + 6 = 12

2)
- 2 + 0 = 2 → Identity Property
- 52 + 0 = 52 → Identity Property

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Let me know if you'd like this turned into a printable answer sheet! ❤️