Properties of Addition Exercises

Identify the property being illustrated by each statement as either associative or commutative. Watch your spelling.

1. $5 + 4 = 4 + 5$

2. $2 + (3 + 7) = (2 + 3) + 7$

3. $5 + (1 + 2) + 4 = 5 + 1 + (2 + 4)$

4. $8 + (9 + 4) = 8 + (4 + 9)$

5. $15 + 7 = 7 + 15$

6. $(2 + 3) + 6 = 2 + (3 + 6)$

7. $(8 + 7) + 3 = 8 + (7 + 3)$

8. $4 + (9 + 1) = 4 + (1 + 9)$

9. $(2 + 4) + 3 + 11 = 2 + 4 + (3 + 11)$

10. $(5 + 2) + 7 = 5 + (2 + 7)$

11. $6 + 10 = 10 + 6$

12. $(5 + 8) + 9 = 9 + (5 + 8)$

13. $5 + (10 + 3) = 5 + (3 + 10)$

14. $8 + 1 = 1 + 8$

15. $2 + (3 + 4) = (2 + 3) + 4$

16. $3 + 0 + (7 + 5) = 3 + 0 + (5 + 7)$

17. $6 + (7 + 9) = (6 + 7) + 9$

18. $4 + (3 + 2) + 8 = (4 + 3) + 2 + 8$

Source: Saddleback College, https://www.saddleback.edu/faculty/Lperez/Algebra2Go/prealgebra/addition/add2AC.html
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