Add & Subtract Complex Number Worksheets
Related Topics:
More Math Worksheets
More Printable Math Worksheets
Algebra II
There are three sets of complex numbers worksheets:
Examples, solutions, videos, and worksheets to help Algebra II students learn how to add and subtract complex numbers.
How to Add & Subtract Complex Numbers?
There are two sets of add & subtract complex number worksheets.
Adding and subtracting complex numbers involves combining their real and imaginary parts separately. Complex numbers are in the form a+bi, where a is the real part and b is the imaginary part. Here’s how to add and subtract complex numbers:
Adding Complex Numbers:
To add two complex numbers a1 + b1i and a2 + b2, follow these steps:
- Add the real parts together:
a1 + a2 - Add the imaginary parts together:
b1 + b2 - Combine the results to form the sum of the complex numbers: a1 + a2 + (b1 + b2)i
Example:
Add 3 + 2i and 1 - 5i
Real parts: 3 + 1 = 4
Imaginary parts: 2 - 5 = -3
3 + 2i + 1 - 5i = 4 - 3i
Subtracting Complex Numbers:
To subtract two complex numbers a1 + b1i and a2 + b2, follow these steps:
- Subtract the real part of the second complex number from the real part of the first complex number:
a1 - a2 - Subtract the imaginary part of the second complex number from the imaginary part of the first complex number: b1 - b2
- Combine the results to form the difference of the complex numbers: a1 - a2 + (b1 - b2)i
Example:
Subtract 3 + 2i from 1 - 5i
Real parts: 1 - 3 = -2
Imaginary parts: -5 - 2 = -7
1 - 5i - (3 + 2i) = -2 - 7i
Have a look at this video if you need to review how to add and subtract complex numbers.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Add & Subtract Complex Number Worksheets.
More Add & Subtract Complex Number Worksheets
Printable
(Answers on the second page.)
Add & Subtract Complex Number Worksheet #1 (cubic equations)
Add & Subtract Complex Number Worksheet #2 (quartic or quintic equations)
Online
Powers of i: Positive Exponents
Powers of i: Negative Exponents
Complex Number Addition
Complex Number Subtraction
Complex Number Multiplication
Complex Number Division
Complex Number: Magnitude (Absolute Value)
Distance Between Two Complex Numbers
Midpoint of Two Complex Numbers)
Related Lessons & Worksheets
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.