Which expression correctly demonstrates the Commutative Property of Multiplication? A. x +4 +15= 15 +4 +x b. 15-(x)* 4=4*15*(x) c.15(x +4)=15(x*4)

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

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. In mathematical terms, it can be expressed as:

\[ a \times b = b \times a \]

Now, let's look at the provided expressions:

A. \( x + 4 + 15 = 15 + 4 + x \) - This demonstrates the Commutative Property of Addition, not multiplication.

B. \( 15 - (x) \times 4 = 4 \times 15 \times (x) \) - This is incorrectly structured and does not demonstrate the Commutative Property.

C. \( 15(x + 4) = 15(x \times 4) \) - This is not a demonstration of the Commutative Property either; it represents a distribution rather than changing the order of multiplication.

None of the options correctly demonstrate the Commutative Property of Multiplication. A correct example would be expressing \( 4 \times 15 \) as \( 15 \times 4 \).