Which of the following demonstrates the Associative Property of Multiplication?(1 point) Responses (3\cdot5)+2=(3+5)\cdot2 left parenthesis 3 times 5 right parenthesis plus 2 equals left parenthesis 3 plus 5 right parenthesis times 2 (3+5)\cdot2=3+(5\cdot2) left parenthesis 3 plus 5 right parenthesis times 2 equals 3 plus left parenthesis 5 times 2 right parenthesis (3\cdot5)\cdot2=3\cdot(5\cdot2) left parenthesis 3 times 5 right parenthesis times 2 equals 3 times left parenthesis 5 times 2 right parenthesis (3\cdot5)\cdot2=(3\cdot5)\cdot2

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 is expressed as:

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

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

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

This shows that regardless of how you group the numbers, the result remains the same.