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 plus 2 equals left parenthesis 3 plus 5 right parenthesis times 2

(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 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 factors are grouped in multiplication does not affect the product. This means that for any three numbers \( a \), \( b \), and \( c \):

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

From the provided options, the one that demonstrates this property is:

\((3⋅5)⋅2=3⋅(5⋅2)\)

This option shows that the grouping of the numbers (whether you group 3 and 5 first, or 5 and 2 first) does not change the result of the multiplication, illustrating the Associative Property of Multiplication.