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

Question

Responses

(3⋅5)⋅2=(3⋅5)⋅2
left parenthesis 3 times 5 right parenthesis times 2 equals left parenthesis 3 times 5 right parenthesis times 2

(3⋅5)⋅2=3⋅(5⋅2)
left parenthesis 3 times 5 right parenthesis times 2 equals 3 times left parenthesis 5 times 2 right parenthesis

(3+5)⋅2=3+(5⋅2)
left parenthesis 3 plus 5 right parenthesis times 2 equals 3 plus left parenthesis 5 times 2 right parenthesis

(3⋅5)+2=(3+5)⋅2

Answer 1

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change their product. In mathematical terms, this means that for any numbers \(a\), \(b\), and \(c\):

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

Among the given options, the expression that demonstrates the Associative Property of Multiplication is:

\((3 \cdot 5) \cdot 2 = 3 \cdot (5 \cdot 2)\)

This option clearly shows that the grouping of the numbers changes but the result remains the same.