📚 Part 1: Identifying Properties

1. Which property is shown by the expression 8 + 5 = 5 + 8?

Commutative Property

Associative Property

Identity Property

2. Which property is shown by the expression (3 + 7) + 2 = 3 + (7 + 2)?

Commutative Property

Associative Property

Identity Property

3. Which property is shown by the expression 15 + 0 = 15?

Commutative Property

Associative Property

Identity Property

4. Check all expressions that show the Commutative Property:

12 + 9 = 9 + 12

6 + (4 + 2) = (6 + 4) + 2

7 + 3 = 3 + 7

14 + 0 = 14

✏️ Part 2: Rewriting Expressions

5. Use the Commutative Property to rewrite this expression: 23 + 17 = ___________

6. Use the Associative Property to rewrite this expression: (5 + 8) + 12 = ___________

7. Use the Identity Property to complete this expression: 29 + _______ = 29

8. Rewrite and solve using properties to make the calculation easier:

47 + 25 + 3 = ___________

9. Does the expression 15 - 8 = 8 - 15 show the Commutative Property? Explain why or why not.

10. Explain in your own words why subtraction does NOT follow the Associative Property. Give an example to support your answer.

11. Circle the expression that is TRUE:

20 - 5 = 5 - 20

(12 - 4) - 2 = 12 - (4 - 2)

18 - 0 = 18

12. Explain why knowing the properties of addition is helpful when working with numbers and expressions.