Which of the following is an example of the Commutative Property of Multiplication?
(1 point)
a,6 × 1 = 6 6 × 1 = 6
b.2 × (6 + 3) = (2 × 6) + (2 × 3) 2 × 6 + 3 = 2 × 6 + 2 × 3
c.2 + 6 = 6 + 2 2 + 6 = 6 + 2
d.6 × 2 = 2 × 6 6 × 2 = 2 ×6
d. 6 × 2 = 2 × 6 6 × 2 = 2 × 6
The Commutative Property of Multiplication states that the order of the factors does not change the result of the multiplication. In other words, if you swap the positions of the factors, the product remains the same.
Looking at the options provided:
a. 6 × 1 = 6 and 6 × 1 = 6 are the same multiplication expression written in two different orders. This demonstrates the Commutative Property of Multiplication.
b. 2 × (6 + 3) = (2 × 6) + (2 × 3) and 2 × 6 + 3 = 2 × 6 + 2 × 3 involve addition rather than only multiplication. So, this does not represent the Commutative Property of Multiplication.
c. 2 + 6 = 6 + 2 and 2 + 6 = 6 + 2 also involve addition, not multiplication. Therefore, it does not demonstrate the Commutative Property of Multiplication.
d. 6 × 2 = 2 × 6 and 6 × 2 = 2 × 6 are the same multiplication expression written in two different orders. This represents the Commutative Property of Multiplication.
Therefore, the correct answer is d. 6 × 2 = 2 × 6 6 × 2 = 2 × 6
The example of the Commutative Property of Multiplication is:
d. 6 × 2 = 2 × 6