Answers Math 4 Performing Operations with Complex Numbers — QuizQuestion 10

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Performing Operations with Complex Numbers — Quiz

Question 10 • Math 4

Which equation illustrates the identity property of multiplication?

Answer

A

open paren x plus y i close paren times 0 is equal to 0

B

open paren x plus y i close paren times open paren z plus w i close paren is equal to open paren z plus w i close paren times open paren x plus y i close paren

C

open paren x plus y i close paren times 1 is equal to open paren x plus y i close paren

D

open paren x plus y i close paren times z is equal to open paren x z plus y z i close paren

Explanation

The identity property of multiplication says that multiplying a number by 1 leaves it unchanged. Choice C shows this directly: (x + yi) × 1 = x + yi. Choice A shows multiplication by zero, while B shows the commutative property and D shows the distributive property.

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