# Worksheet: Introduction to Complex Numbers

In this worksheet, we will practice dealing with imaginary numbers, knowing that complex numbers are made of a real part and an imaginary part.

**Q1: **

Is the following statement true or false: Any complex number is also a real number.

- Afalse
- Btrue

**Q4: **

Which of the following statements will be true of two equal complex numbers?

- ATheir real parts will not be equal and their imaginary parts will not be equal.
- BTheir real parts will be equal and their imaginary parts will not be equal.
- CTheir real parts will be equal and their imaginary parts will be equal.
- DTheir real parts will not be equal and their imaginary parts will be equal.

**Q5: **

Is the following statement true or false: Any imaginary number is also a complex number.

- Afalse
- Btrue

**Q6: **

What type of number is ?

- Areal
- Bcomplex
- Cpurely imaginary

**Q7: **

What is the real part of the complex number ?

**Q8: **

What is the imaginary part of the complex number ?

**Q9: **

If is a real number, what is the value of ?

**Q10: **

If is an imaginary number, what is the value of ?

**Q12: **

Add 4 to .

- A
- B
- C
- D
- E

**Q13: **

True or False: Any real number is also a complex number.

- ATrue
- BFalse

**Q14: **

Factor over the complex numbers.

- A
- B
- C
- D
- E

**Q15: **

Express in terms of .

- A
- B
- C
- D
- E