Answers Advanced Algebra Concepts and Connections Operations with Complex Numbers — QuizQuestion 4

4

QuizMultiple Choice

Operations with Complex Numbers — Quiz

Question 4 • Advanced Algebra: Concepts and Connections

Which equation illustrates the identity property of multiplication?

Answer

A

open paren A plus b i close paren times c is equal to open paren A c plus b c i close paren

B

open paren A plus b i close paren times 1 is equal to open paren A plus b i close paren

C

open paren A plus b i close paren times open paren c plus d i close paren is equal to open paren c plus d i close paren times open paren A plus b i close paren

D

open paren A plus b i close paren times 0 is equal to 0

Explanation

The identity property of multiplication says that multiplying any number by 1 leaves it unchanged. Choice A shows this: (a + bi) × 1 = a + bi. Multiplying by 0, as in choice B, gives zero instead.

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