4
QuizMultiple Choice

Writing Two-Variable Quadratic Inequalities — Unit test

Question 4 • FL-1200330-Algebra 2 CR

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

Answer
A
(4 + 2i) = (2i + 4)
B
(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)
C
(4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)(1)
D
(4 + 2i) = (4 + 2i + 0)

Explanation

The commutative property of multiplication says that changing the order of the factors does not change their product: ab = ba. Choice B switches the order of the two complex-number factors, (4 + 2i) and (3 − 5i), while keeping the product equal. Choice C instead illustrates the multiplicative identity, since multiplying by 1 does not change a value.

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