6
QuizMultiple Choice

Performing Operations with Complex Numbers

Question 6 • MO-Algebra II A-CR

Which equation is an example of the commutative property of multiplication?

Answer
(
(8 + 6i) = (6i + 8)
(
(8 + 6i)(7 – 9i) = (7 – 9i)(8 + 6i)
(
(8 + 6i)(7 – 9i) = (8 + 6i)(7 – 9i)(1)
(
(8 + 6i) = (8 + 6i + 0)

Explanation

The commutative property of multiplication says that changing the order of the factors does not change their product: a × b = b × a. Choice B switches the order of the two complex-number factors while keeping the product equal. Choice A shows commutativity of addition, while C and D use identity properties.

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