Addition Properties worksheet - Free Printable

Let’s go step by step to solve each problem.

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Part 1: Identify the addition property used

We are looking at these properties:
- Identity Property of Addition: Adding 0 to a number doesn’t change it. Example: a + 0 = a
- Commutative Property of Addition: You can switch the order of numbers being added, and the sum stays the same. Example: a + b = b + a
- Associative Property of Addition: You can group numbers differently when adding, and the sum stays the same. Example: (a + b) + c = a + (b + c)

Now let’s match each equation:

1. 5 + 0 = 5 → This is adding zero → Identity Property
2. 8 + 10 = 10 + 8 → Order switched → Commutative Property
3. (11 + 2) + 8 = 11 + (2 + 8) → Grouping changed → Associative Property
4. 12 + 0 = 12 → Again, adding zero → Identity Property
5. 9 + 3 = 3 + 9 → Order switched → Commutative Property

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Part 2: Compute mentally using properties

6. 7 + 0 = ? → Identity property → answer is 7
7. 6 + (4 + 2) = ? → First do inside parentheses: 4 + 2 = 6 → then 6 + 6 = 12
*(You could also use associative property to regroup as (6 + 4) + 2 = 10 + 2 = 12 — same result)*
8. 9 + 2 = ? → Just add → 11
9. (2 + 1) + 5 = ? → Inside first: 2 + 1 = 3 → then 3 + 5 = 8
*(Or regroup: 2 + (1 + 5) = 2 + 6 = 8 — same thing)*
10. 286 + 0 = ? → Identity property → answer is 286

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Final Answer:

1. Identity Property
2. Commutative Property
3. Associative Property
4. Identity Property
5. Commutative Property
6. 7
7. 12
8. 11
9. 8
10. 286