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Imaginary Numbers Worksheet

A Grade 10 Math worksheet covering imaginary numbers, complex numbers, and their operations.

Grade 10 Math AlgebraImaginary Numbers
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Includes

Fill in the BlanksMultiple Choice6 Short Answer

Standards

CCSS.MATH.CONTENT.HSN.CN.A.1CCSS.MATH.CONTENT.HSN.CN.A.2CCSS.MATH.CONTENT.HSN.CN.A.3

Topics

MathAlgebraImaginary NumbersComplex NumbersGrade 10
10 sections · Free to use · Printable
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Imaginary Numbers: Grade 10 Math

Name:

Date:

Score:

Read each question carefully and provide your answer 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. A complex number is typically written in the form a + bi, where 'a' is the   part and 'b' is the imaginary part.

3. The product of two complex conjugates is always a   number.

4. What is the value of i^3?

a

1

b

-1

c

i

d

-i

5. Simplify the expression: (3 + 2i) + (1 - 4i)

6. Simplify the expression: (2 + 5i) - (4 - 3i)

7. Multiply the complex numbers: (2 + i)(3 - 2i)

8. Write the complex conjugate of 5 - 7i.

9. Divide the complex numbers: (1 + i) / (1 - i)

10. Plot the complex number 3 + 4i on the complex plane below.

RealImaginary01-1i-i

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