Question

Which of the following demonstrates the Associative Property of Multiplication?(1 point)
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 numbers are grouped during multiplication does not change the product. In other words, for any numbers \( a, b, \) and \( c \):

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

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

**(3⋅5)⋅2 = 3⋅(5⋅2)**

This option shows that the grouping of the numbers does not affect the product, which is the essence of the associative property.