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 (3 + 7i) + [(8 − 6i) + (1 + 9i)]?

Revolt · Accepted Answer

associative

Question 3

In general, ai + bi =

Revolt · Accepted Answer

(a + b)i

Question 4

Question 4

Revolt · Accepted Answer

4 – 10i

Question 5

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

Revolt · Accepted Answer

distributive

Question 6

Question 6

Revolt · Accepted Answer

distributive

Question 7

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

Revolt · Accepted Answer

2 – 8i

Question 8

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

Revolt · Accepted Answer

(0 – 2i)(6 – 7i)

Question 9

The sum of (3 - 5i) + (-2 + 8i) is .

Revolt · Accepted Answer

1 + 3i

Question 10

The product of a complex number and its complex conjugate is a real number.

Revolt · Accepted Answer

always

Operations with Complex Numbers Answers