Complex Numbers Worksheets

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Complex numbers are not that intricate or complex. And if they tend to trick you at all, we have you covered through our Complex Numbers Worksheets. Complex numbers are written in the form a + bi, where a is called the real term and the coefficient of i is the imaginary part. Let’s explore this topic with our easy-to-use complex number worksheets that are tailor-made for students in high school and is the perfect resource to introduce this new concept. This stack of free pdfs helps young learners identify the real and imaginary part of the complex number, find absolute value, rationalize denominators, and many more.

This bundle of worksheets on complex numbers is designed for high school students.

CCSS: HSN-CN

Identifying the Real Part and the Imaginary Part

Showcase the unique two-dimensional nature of complex numbers by prompting high school students to recognize the real part and the imaginary part of the number. The numbers are represented in the standard form a + bi, where a is the real part, and b is the imaginary part.

Identifying the Real Part and the Imaginary Part

Write the Conjugate of Each Complex Number

Designed to tread seamlessly with CCSS, this printable worksheet helps students write the conjugate of the complex number, by just flipping the sign of the imaginary part of the complex number.

Write the Conjugate of Each Complex Number

Rationalize the Denominator

Aimed at high school students, this free pdf helps foster understanding of rationalizing denominators. Determine the conjugate of the denominator and multiply both the numerator and the denominator by the conjugate. Simplify the expression if needed.

Rationalize the Denominator

Simplifying Expressions with Complex Numbers

Become adept at adding, subtracting, multiplying, and dividing complex numbers with this free worksheet. Use basic rules like combining the like terms together, FOIL method, multiplying the top and bottom by the complex conjugate of the denominator to simplify complex-valued expressions.

Simplifying Expressions with Complex Numbers

Finding Absolute Values

Make a significant first stride in complex numbers by finding the absolute values of complex numbers with this free worksheet. The absolute value of a complex number is nothing but the distance of the point from the origin on a complex plane.

Finding Absolute Values