Which of the following demonstrates the Associative Property of Multiplication?(1 point) Responses (3⋅5)+2=(3+5)⋅2 left parenthesis 3 times 5 right parenthesis plus 2 equals left parenthesis 3 plus 5 right parenthesis times 2 (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) 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

Answer 1

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

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

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

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

This option shows that you can group the numbers different ways without altering the result, thus illustrating the Associative Property.