About This Chapter
Complex and Imaginary Numbers Review - Chapter Summary
Prepare for questions related to complex and imaginary numbers on the TASC Math test with help from our online lessons and quizzes. The videos include topics related to:
- Imaginary numbers
- Adding and subtracting with complex numbers
- Performing multiplication and division with complex numbers
- Graphing complex numbers
- Quadratic equations with complex number solutions
The video lessons in this chapter are taught by experienced instructors and include a variety of illustrations and real-world examples to help you learn. Each lesson includes a multiple-choice quiz and a transcript that highlights key terms. An end-of-chapter test is also available to help test your knowledge of complex numbers.
TASC Math Objectives
Similar to the GED, the TASC is a high school equivalency exam that assesses a student's abilities in five main subject areas: reading, writing, math, science and social studies. The math subtest is divided into two sections and includes questions from topics in algebra, geometry, numbers and quantity, functions and statistics. You may encounter questions related to the topics in this chapter within the algebra content area.
1. What is an Imaginary Number?
The imaginary number 'i' is the square root of -1. Although this number doesn't actually exist, pretending that it does allows us to do a bunch of crazy math that scientists use every day. Learn the basics of that number 'i' here!
2. How to Add, Subtract and Multiply Complex Numbers
Knowing that complex numbers exist is the first step. But that knowledge alone won't help you do much with them. Learn the basics of complex number addition, subtraction and multiplication here!
3. How to Divide Complex Numbers
While adding, subtracting and multiplying complex numbers is pretty straightforward, dividing them can be pretty tricky. It comes down to the process of multiplying by the complex conjugate. Learn about what that is, and how to do it, here.
4. How to Graph a Complex Number on the Complex Plane
Graphing complex numbers is pretty straight forward, but it's not necessarily intuitive. Check out this lesson to learn the vocabulary and the conventions that you'll need.
5. How to Solve Quadratics with Complex Numbers as the Solution
When you solve a quadratic equation with the quadratic formula and get a negative on the inside of the square root, what do you do? The short answer is that you use an imaginary number. For the longer, more helpful answer, check out this lesson!
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the TASC Mathematics: Prep and Practice course
- TASC Math: Real Numbers
- Intro to Algebraic Expressions
- Intro to Algebraic Equations
- TASC Math: Exponents and Exponential Expressions
- Overview of Square Roots
- TASC Math: Radical Expressions
- TASC Math: Functions
- TASC Math: Graphing and Functions
- Overview of Sequences
- TASC Math: Inequalities
- TASC Math: Algebraic Distribution
- TASC Math: Linear Equations
- TASC Math: Factoring
- TASC Math: Quadratic Equations
- TASC Math: Graphing and Factoring Quadratic Equations
- TASC Math: Properties of Polynomial Functions
- TASC Math: Rational Expressions
- TASC Math: Measurement
- Lines, Angles & Arcs
- Shapes in Geometry
- Volume & Surface Area
- TASC Math: Calculations, Ratios, Percent & Proportions
- TASC Math: Data, Statistics, and Probability
- Making Inferences & Justifying Conclusions in Math
- TASC Mathematics Flashcards