10
QuizMultiple Choice

Performing Operations with Complex Numbers

Question 10 • MO-Algebra II A-CR

Which equation illustrates the identity property of multiplication?

Answer
(
(x + yi) × z = (xz + yzi)
(
(x + yi) × 0 = 0
(
(x + yi) × (z + wi) = (z + wi) × (x + yi)
(
(x + yi) × 1 = (x + yi)

Explanation

The identity property of multiplication says that multiplying a number by 1 leaves it unchanged. Choice D shows this directly: (x + yi) × 1 = (x + yi).

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