Performing Operations with Complex Numbers

Question 1

Which property allows you to write the expression (3 + 7i) + (8 – 6i) as (8 – 6i) + (3 + 7i)?

Revolt · Accepted Answer

commutative

Question 2

Which property allows you to write the expression [(3 + 7i) + (8 – 6i)] + (1+ 9i) as (8 – 6i) + [(3 + 7i) + (1 + 9i)]?

Revolt · Accepted Answer

associative

Question 3

In general, ai + bi =

Revolt · Accepted Answer

(a + b)i

Question 4

The difference is

Revolt · Accepted Answer

4 – 10i

Question 5

Subtract (5 – 2i) – (1 + 8i).Which property allows you to write the expression as 5 – 2i – 1 – 8i?

Revolt · Accepted Answer

distributive

Question 6

Which of the following is equivalent to –2i(6 – 7i)?

Revolt · Accepted Answer

(0 – 2i)(6 – 7i)

Question 7

The property allows 3i + 2i to be written as (3 + 2)i.

Revolt · Accepted Answer

distributive

Question 8

Calculate the following combinations.

Revolt · Accepted Answer

3

Question 9

What is the additive inverse of –2 + 8i?

Revolt · Accepted Answer

2 - 8i

Question 10

Calculate the following combinations.

Revolt · Accepted Answer

1

Performing Operations with Complex Numbers Answers