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

A. (3⋅5)⋅2=3⋅(5⋅2)
B. (3⋅5)⋅2=(3⋅5)⋅2
C. (3⋅5)+2=(3+5)⋅2
D. (3+5)⋅2=3+(5⋅2)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

The Associative Property of Multiplication states that the way in which factors are grouped does not affect the product. This can be expressed as \( (a \cdot b) \cdot c = a \cdot (b \cdot c) \).

In the options provided:

A. \((3 \cdot 5) \cdot 2 = 3 \cdot (5 \cdot 2)\) — This demonstrates the Associative Property of Multiplication.

B. \((3 \cdot 5) \cdot 2 = (3 \cdot 5) \cdot 2\) — This is an identity and does not demonstrate the associative property.

C. \((3 \cdot 5) + 2 = (3 + 5) \cdot 2\) — This does not involve multiplication in a manner that applies the associative property.

D. \((3 + 5) \cdot 2 = 3 + (5 \cdot 2)\) — This demonstrates the Distributive Property, not the Associative Property.

So, the correct answer is **.