14
QuizMultiple Choice

Performing Operations with Complex Numbers

Question 14 • MO-Algebra II A-CR

Which property of addition is shown below? If x = 1 + 2i and y = –1 – 2i, then x + y = 0.

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

Explanation

Here, y = −1 − 2i is the additive inverse of x = 1 + 2i. Adding them gives (1 − 1) + (2i − 2i) = 0, which illustrates the inverse property of addition.

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