Operations with Complex Numbers

Question 1

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 2

Which property of addition is shown below?If x = a + bi and y = –a – bi, x + y = 0.

Revolt · Accepted Answer

inverse property

Question 3

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

Revolt · Accepted Answer

13

Question 4

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 5

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

Revolt · Accepted Answer

(–4 + i) + 4i = –4 + (i + 4i)

Question 6

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

Revolt · Accepted Answer

–9 + 9i

Question 7

Which property of multiplication is shown below? If x = a + bi and y = c + di, x × y = y × x.

Revolt · Accepted Answer

commutative property

Question 8

Which equation demonstrates the additive identity property?

Revolt · Accepted Answer

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

Question 9

Which equation illustrates the identity property of multiplication?

Revolt · Accepted Answer

(a + bi) × 1 = (a + bi)

Question 10

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

Revolt · Accepted Answer

identity property

Operations with Complex Numbers Answers

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