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Definition
Complex numbers are numbers that consist of two parts: a real part and an imaginary part. They are written in the form , where a is the real number, b is the imaginary number, and is the imaginary unit defined as i. Complex numbers extend the real number system to include solutions to equations, such as , that have no real solutions.
Summary
Complex numbers combine real and imaginary values into a single number system that allows all polynomial equations to have solutions. They can be represented on the complex plane, where the horizontal axis shows the real part and the vertical axis shows the imaginary part. Operations such as addition, subtraction, multiplication, and division can be performed on complex numbers using specific rules. Complex numbers are important in mathematics and are widely used in science, engineering, and physics, especially in areas involving waves, electricity, and signal processing.
Complex Numbers Math Activities
This is a fantastic bundle which includes 10 activities with answer guides about Complex Numbers. All our worksheets are completely editable so can be tailored for your curriculum and target audience.
Resource Examples
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Worksheets Activities Included
- Identify the Parts
- Classifying Numbers
- Addition of Complex Numbers
- Subtraction of Complex Numbers
- Multiplication Using FOIL
- Powers of i
- Conjugates
- Division of Complex Numbers
- Absolute Value of a Complex Number
- Real-Life Connection