Question

Which of the following demonstrates the Commutative Property of Multiplication? (3 points)   2(6a − 3) = (6a − 3) ⋅ 2 2(6a − 3) = 12a − 6 12a − 6 = (6a − 3) ⋅ 2 (2 ⋅ 6a) − 3 = 2(6a − 3)

Answer 1

Answer:

2(6a − 3) = (6a − 3)2 satisfy the Commutative Property of multiplication .

Step-by-step explanation:

Definition of  Commutative Property of Multiplication

Let us assume that x and y be any numbers .

x × y = y × x

This  is called the Commutative Property of multiplication .

Thus

Let

x = 2

y = 6a − 3

Put in the above property

2 × (6a -3) = (6a - 3)× 2

Thus

2(6a − 3) = (6a − 3) 2

Therefore 2(6a − 3) = (6a − 3)2 satisfy the Commutative Property of multiplication .

Answer 2

Commutative means 'you can swap them'. I.e., a+b = b+a, addition is commutative. Subtraction is not.

The first answer: 2(6a − 3) = (6a − 3) ⋅ 2  is an example where 2 and (6a-3) are the factors that can be swapped, because multiplication is commutative.