What is the value of $$\sqrt{-1}$$ ?

The value is $$i$$ , which is the imaginary unit.

What is a complex number?

A complex number is a number that can be expressed in the form $$a + bi$$ , where $$a$$ is the real part and $$b$$ is the imaginary part.

How do you add complex numbers?

To add complex numbers, add their real parts and their imaginary parts separately.

How do you multiply complex numbers?

To multiply complex numbers, use the distributive property and remember that $$i^2 = -1$$ .

What is the modulus of a complex number $$a + bi$$ ?

The modulus is given by $$\sqrt{a^2 + b^2}$$ .

What is the argument of a complex number?

The argument is the angle formed with the positive real axis in the complex plane, often denoted as $$\theta$$ .

How do you express a complex number in polar form?

A complex number can be expressed in polar form as $$r(\cos \theta + i \sin \theta)$$ , where $$r$$ is the modulus and $$\theta$$ is the argument.

What is the significance of the imaginary unit $$i$$ in mathematics?

The imaginary unit $$i$$ allows for the extension of the real number system to include solutions to equations like $$x^2 + 1 = 0$$ , which have no real solutions.

Imaginary Numbers Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Simplify the expression: -5i + 10i.

Back

The simplified expression is 5i.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Define imaginary numbers.

Back

7.

FLASHCARD QUESTION

Front

What is the relationship between real and imaginary numbers?

Back

Real numbers can be represented on a number line, while imaginary numbers cannot; they exist on a separate axis in the complex plane.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

11 questions

Memoriter_1

Flashcard

•

12th Grade

10 questions

Common Phrasal Verbs and Their Meanings

Flashcard

•

10th Grade - University

15 questions

Anatomy Review

Flashcard

•

12th Grade

9 questions

Inequalities

Flashcard

•

9th Grade

10 questions

Essential Statistics Concepts

Flashcard

•

12th Grade

10 questions

R2.3 How Far? Le Chatelier's Principle

Flashcard

•

12th Grade

10 questions

High Note 2. Unit 1. Test your vocabulary

Flashcard

•

10th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

15 questions

Mock Fall Final

Quiz

•

9th - 12th Grade

23 questions

Rational Exponents and Simplifying using Exponent Properties

Quiz

•

9th - 12th Grade

12 questions

Polynomials 7-1/7-2/7-3

Lesson

•

9th - 12th Grade

13 questions

Congruent Triangle Proofs

Quiz

•

9th - 12th Grade

14 questions

Permutations and Combinations

Quiz

•

9th - 12th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

11 questions

73 WarmUp: Graphing SOE/Ineqs

Quiz

•

9th - 12th Grade

19 questions

Distributive Property

Quiz

•

6th - 12th Grade