Which of the following demonstrates the Associative Property of Multiplication?(1 point)
A. (3⋅5)+2=(3+5)⋅2
B. (3⋅5)⋅2=3⋅(5⋅2)
C. (3+5)⋅2=3+(5⋅2)
D. (3⋅5)⋅2=(3⋅5)⋅2
B. (3⋅5)⋅2=3⋅(5⋅2)
The correct answer is B. (3⋅5)⋅2=3⋅(5⋅2).
The Associative Property of Multiplication states that when multiplying three or more numbers, the grouping of the numbers does not affect the result. In this case, the expression (3⋅5)⋅2 can be evaluated by first multiplying 3 and 5, and then multiplying the result by 2. Similarly, the expression 3⋅(5⋅2) can be evaluated by first multiplying 5 and 2, and then multiplying the result by 3. The two expressions will yield the same result, demonstrating the Associative Property of Multiplication.