10
QuizMultiple Choice

Operations with Complex Numbers — Quiz

Question 10 • Advanced Algebra: Concepts and Connections

Which property of addition is shown? If x is equal to A plus b i and y is equal to negative A minus b i , x plus y is equal to 0

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

Explanation

The expressions are opposites: x = A + bi and y = −A − bi = −(A + bi). Adding a number and its additive inverse gives 0, so this shows the inverse property of addition. The correct choice is “inverse property.”

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