Operations with Complex Numbers

Question 1

Which equation illustrates the identity property of multiplication?

Revolt · Accepted Answer

(a + bi) × 1 = (a + bi)

Question 2

What is the additive inverse of the complex number 9 – 4i?

Revolt · Accepted Answer

–9 + 4i

Question 3

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

Revolt · Accepted Answer

commutative property

Question 4

What is the value of the product (3 – 2i)(3 + 2i)?

Revolt · Accepted Answer

13

Question 5

The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?

Revolt · Accepted Answer

8 + i

Question 6

What is the value of (–7 + 3i) – (2 – 6i)?

Revolt · Accepted Answer

–9 + 9i

Question 7

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?

Revolt · Accepted Answer

Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

Question 8

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?

Revolt · Accepted Answer

8 – 2i

Question 9

Evaluate when and .

Revolt · Accepted Answer

29 i

Question 10

Which equation shows an example of the associative property of addition?

Revolt · Accepted Answer

(–4 + i) + 4i = –4 + (i + 4i)

Operations with Complex Numbers Answers

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