# Complex Numbers (Conjugates, Division, Modulus)

Examples, solutions, videos, and lessons to help High School students know how to find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

### Suggested Learning Targets

• I can use conjugates to divide complex numbers.
• I can find the moduli of complex numbers.

Common Core: HSN.CN.A.3

How to divide complex fractions?

1. Write the problem in fractional form.
2. Multiply the numerator and the denominator by the conjugate of the denominator.

The following diagram shows how to divide complex numbers. Scroll down the page for more examples and solutions for dividing complex numbers.

### Divide Complex Numbers

Dividing by Complex Numbers
How to divide one complex number by another?

Complex Numbers
Dividing complex numbers. Complex conjugates.

Complex Numbers: Dividing - Ex 1
This shows how to divide a complex number by another complex number.

Complex Numbers: Dividing - Ex 2
This shows how to divide a complex number by another complex number.

Complex Numbers: Dividing - Ex 3
This shows how to divide a complex number by another complex number.

Modulus of a Complex Number
Absolute value of a complex number
Modulus of a complex number. Distance form the origin (0, 0).

Complex Numbers: Graphing and Finding the Modulus, Ex 1.
This video shows how to graph a complex number and how to find the modulus of a complex number.

Complex Numbers: Graphing and Finding the Modulus, Ex 2.
This video shows how to graph a complex number and how to find the modulus of a complex number.

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.