Commutative and Associative Properties Practice
1. Commutative Property of Addition: 2 + 3 = 3 + 2
Explanation: No matter how the numbers are arranged (2, 3) or (3, 2), the sum will remain the same, which is 5.
2. Commutative Property of Multiplication: 4 x 5 = 5 x 4
Explanation: The order of the factors does not affect the product. In this case, both equations result in a product of 20.
3. Associative Property of Addition: (2 + 3) + 4 = 2 + (3 + 4)
Explanation: The grouping of the numbers does not change the sum. In both cases, the sum is equal to 9.
4. Associative Property of Multiplication: (4 x 5) x 6 = 4 x (5 x 6)
Explanation: The grouping of the factors does not change the product. In both cases, the product is equal to 120.
5. Commutative Property of Addition: 7 + 9 = 9 + 7
Explanation: No matter how the numbers are arranged (7, 9) or (9, 7), the sum will remain the same, which is 16.
6. Commutative Property of Multiplication: 8 x 6 = 6 x 8
Explanation: The order of the factors does not affect the product. In this case, both equations result in a product of 48.
7. Associative Property of Addition: (2 + 5) + 1 = 2 + (5 + 1)
Explanation: The grouping of the numbers does not change the sum. In both cases, the sum is equal to 8.
8. Associative Property of Multiplication: (3 x 6) x 2 = 3 x (6 x 2)
Explanation: The grouping of the factors does not change the product. In both cases, the product is equal to 36.