5
QuizMultiple Choice

Operations with Complex Numbers

Question 5 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Which property of addition is shown below?If x = a + bi and y = –a – bi, x + y = 0.

Answer
A
commutative property
B
identity property
C
associative property
D
inverse property

Explanation

The numbers x = a + bi and y = –a – bi are opposites: y is the additive inverse of x. Adding a number to its additive inverse gives 0, so this shows the inverse property of addition.

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