Operations with Complex Numbers

Question 1

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

Revolt · Accepted Answer

commutative property

Question 2

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

Revolt · Accepted Answer

8 – 3i

Question 3

Which property of addition is shown in the equation below?a + bi + 0 + 0i = a + bi

Revolt · Accepted Answer

identity property

Question 4

Which equation demonstrates the additive identity property?

Revolt · Accepted Answer

(7 + 4 i) + 0 = 7 + 4 i

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 additive inverse of the complex number 9 – 4i?

Revolt · Accepted Answer

–9 + 4i

Question 7

Which equation illustrates the identity property of multiplication?

Revolt · Accepted Answer

(a + bi) × 1 = (a + bi)

Question 8

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

Revolt · Accepted Answer

(–4 + i) + 4i = –4 + (i + 4i)

Question 9

Donte simplified the expression below.What mistake did Donte make?

Revolt · Accepted Answer

He did not apply the distributive property correctly for 4(1 + 3i).

Question 10

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.

Operations with Complex Numbers Answers

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