Which equation shows the commutative property of multiplication? Choices: (A)b · c = c · b (B)b · c + b · d = b · (c + d) (C)b · (c − d) = b · c − b · d (D)b · c − b · d = b · (c − d)

Question

Which equation shows the commutative property of multiplication?    Choices: (A)b · c = c · b (B)b · c + b · d = b · (c + d) (C)b · (c − d) = b · c − b · d (D)b · c − b · d = b · (c − d)

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Understand Commutative Property: Understand the commutative property of multiplication. The commutative property of multiplication states that changing the order of the factors does not change the product. In other words, for any numbers a and b, the equation a · b = b · a demonstrates the commutative property.Analyze Choices: Analyze each choice to see which one represents the commutative property. (A) b · c = c · b This choice shows two numbers being multiplied in different orders and set equal to each other, which is exactly what the commutative property describes.Eliminate Incorrect Choices: Eliminate the other choices that do not represent the commutative property. (B) b · c + b · d = b · (c + d) This choice represents the distributive property, not the commutative property. (C) b · (c − d) = b · c − b · d This choice also represents the distributive property. (D) b · c − b · d = b · (c − d) This choice is another representation of the distributive property.Conclude Correct Representation: Conclude which choice correctly represents the commutative property. Based on the analysis, choice (A) b · c = c · b is the correct representation of the commutative property of multiplication.

Which equation shows the commutative property of multiplication? $\newline$ Choices: $\newline$ (A) $b \cdot c = c \cdot b$ $\newline$ (B) $b \cdot c + b \cdot d = b \cdot (c + d)$ $\newline$ (C) $b \cdot (c - d) = b \cdot c - b \cdot d$ $\newline$ (D) $b \cdot c - b \cdot d = b \cdot (c - d)$

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