Question

Which of the following demonstrates the Associative Property of Multiplication?(1 point) Responses (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 numbers are grouped in multiplication does not change the product. This property can be illustrated by the equation:

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

Looking at your options:

1. \((3 + 5) \cdot 2 = 3 + (5 \cdot 2)\)
2. \((3 \cdot 5) + 2 = (3 + 5) \cdot 2\)

Neither of these options correctly represents the Associative Property because they do not involve only multiplication.

The correct representation of the Associative Property of Multiplication would be something like:

\((3 \cdot 5) \cdot 2 = 3 \cdot (5 \cdot 2)\).

Since none of the provided options represent the Associative Property of Multiplication, the answer is that none of them demonstrate that property.