AnswersFall 24 GMS Advanced Algebra Concepts and Connections AOperations with Complex Numbers

Operations with Complex Numbers Answers

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What is the additive inverse of the complex number –8 + 3i?

A
–8 – 3i
B
–8 + 3i
C
8 – 3i
D
8 + 3i
2
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What is the additive inverse of the complex number 9 – 4i?

A
–9 – 4i
B
–9 + 4i
C
9 – 4i
D
9 + 4i
3

Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?

A
Aiko incorrectly used the commutative property by changing the order of the two complex numbers.
B
Aiko incorrectly used the associative property by changing the order of the two complex numbers.
C
Aiko incorrectly used the identity property by combining the real number and the coefficient of the imaginary part.
D
Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.
4

Which property of addition is shown below?a + bi + c + di = a + c + bi + di

A
identity property
B
associative property
C
commutative property
D
inverse property
5

Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?

A
8 – 6i
B
8 + 6i
C
8 – 2i
D
8 + 2i

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