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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 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)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

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.