Which of the following demonstrates the Associative Property of Multiplication?(1 point)

Question

Responses

(3⋅5)⋅2=3⋅(5⋅2)

(3+5)⋅2=3+(5⋅2)

(3⋅5)⋅2=(3⋅5)⋅2

(3⋅5)+2=(3+5)⋅2

Answer 1

The Associative Property of Multiplication states that the way in which factors are grouped does not change their product. This can be expressed as:

\[ (a \cdot b) \cdot c = a \cdot (b \cdot c) \]

From the provided options, the expression that demonstrates the Associative Property of Multiplication is:

(3⋅5)⋅2=3⋅(5⋅2)

This option shows that multiplying 3 by 5 first and then multiplying the result by 2 is the same as multiplying 5 by 2 first and then multiplying the result by 3.