The Commutative Property of Multiplication states that changing the order of the factors does not change the product. In mathematical terms, this can be expressed as:
\[ a \times b = b \times a \]
Let's evaluate each of the given expressions:
A. \( x + 4 + 15 = 15 + 4 + x \) - This demonstrates the Commutative Property of Addition, not multiplication.
B. \( 15 * x * 4 = 4 + 15 + x \) - This does not demonstrate the Commutative Property and also incorrectly mixes operations (multiplication and addition).
C. \( 15(x + 4) = 15 (x * 4) \) - This is not correct as it does not represent the Commutative Property of Multiplication.
D. \( 15 * (x) * 4 = 4 * 15 * (x) \) - This correctly demonstrates the Commutative Property of Multiplication since the order of the factors (15, x, and 4) has been changed without affecting the product.
Thus, the correct answer is:
D. \( 15 * (x) * 4 = 4 * 15 * (x) \)
3 answers