Addition Properties worksheet - Free Printable

Let's solve this step by step.

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Part 1: Identify the Addition Property Used

We need to identify which addition property is being used in each equation.

#### 1. 5 + 0 = 5
- Adding zero to a number does not change its value.
- This is the Identity Property of Addition.

✔ Answer: Identity Property

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#### 2. 8 + 10 = 10 + 8
- The order of the numbers is switched, but the sum remains the same.
- This is the Commutative Property of Addition.

✔ Answer: Commutative Property

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#### 3. (11 + 2) + 8 = 11 + (2 + 8)
- The grouping of numbers changes, but the sum stays the same.
- This is the Associative Property of Addition.

✔ Answer: Associative Property

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#### 4. 12 + 0 = 12
- Again, adding zero doesn't change the number.
- This is the Identity Property of Addition.

✔ Answer: Identity Property

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#### 5. 9 + 3 = 3 + 9
- The order of the addends is switched.
- This is the Commutative Property of Addition.

✔ Answer: Commutative Property

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Part 2: Compute the Following Addition Equations Mentally Using Properties

Now, use the properties to compute mentally.

#### 6. 7 + 0 =
- Any number plus zero is the number itself (Identity Property).
- So, 7 + 0 = 7

✔ Answer: 7

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#### 7. 6 + (4 + 2) =
- First, simplify inside parentheses: 4 + 2 = 6
- Then: 6 + 6 = 12
- You can also use the Associative Property: group differently if helpful.
- But here, just compute: 6 + 6 = 12

✔ Answer: 12

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#### 8. 9 + 2 =
- Simple addition: 9 + 2 = 11

✔ Answer: 11

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#### 9. (2 + 1) + 5 =
- First: 2 + 1 = 3
- Then: 3 + 5 = 8
- Or use associative property: think of it as 2 + (1 + 5) = 2 + 6 = 8
- Either way, result is 8

✔ Answer: 8

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#### 10. 286 + 0 =
- Adding zero doesn’t change the number (Identity Property)
- So, 286 + 0 = 286

✔ Answer: 286

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✔ Final Answers:

Part 1:
1. Identity Property
2. Commutative Property
3. Associative Property
4. Identity Property
5. Commutative Property

Part 2:
6. 7
7. 12
8. 11
9. 8
10. 286

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🔍 Summary of Addition Properties:

- Identity Property: $ a + 0 = a $
- Commutative Property: $ a + b = b + a $
- Associative Property: $ (a + b) + c = a + (b + c) $

These properties help simplify and solve addition problems mentally!