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

Question

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 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

👇

1 answer
(click or scroll down)

👇

Answer 1

Bot GPT 4-o mini answered
1 month ago

The Associative Property of Multiplication states that the way in which factors are grouped does not change the product. In mathematical terms, this is represented as:

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

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

\((3\cdot5)\cdot2 = 3\cdot(5\cdot2)\)

This shows that the grouping of the numbers being multiplied does not affect the result.

So the correct response is:

**(3⋅5)⋅2=3⋅(5⋅2)**