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Introduction to Imaginary Numbers

Explore the basics of imaginary numbers, their definition, and simple operations. This worksheet is designed for Grade 9 students.

Grade 9 Math AlgebraImaginary Numbers
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSN.CN.A.1CCSS.MATH.CONTENT.HSN.CN.A.2

Topics

Imaginary NumbersAlgebraComplex NumbersMathGrade 9
7 sections · Free to use · Printable
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Imaginary Numbers: An Introduction

Name:

Date:

Score:

Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. The imaginary unit, denoted by 'i', is defined as the square root of  .

2. The value of i² is  .

3. A complex number is typically written in the form a + bi, where 'a' is the   part and 'b' is the imaginary part.

4. Which of the following is equivalent to √(-49)?

a

7

b

-7

c

7i

d

-7i

5. Simplify: √(-81)

6. Simplify: 3i + 5i

7. Simplify: (2i)(4i)

8. The product of two imaginary numbers is always an imaginary number.

T

True

F

False

9. A circuit has an impedance of Z = 5 + 3i ohms. If the resistance is the real part and the reactance is the imaginary part, what is the resistance and reactance of the circuit?

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