Complex Number

Definition of Complex Number

• Complex number is a number that can be expressed in the form of x + yi.

More about Complex Number

• Complex numbers are numbers that are written as the sum or difference of a real number and an imaginary number.
• 3 + 5i, 8 - 11i are examples of complex numbers.
• Complex Conjugates: The complex numbers a + bi and a – bi are conjugates of each other. We get the conjugate of a complex number just by changing the sign of the imaginary part of the number.

For example, the conjugate of the complex number

12 - 4i is 12 + 4i.

Solved Example on Complex Number

Choose the imaginary part of the complex number

10 + 13i.

Choices:

A. 13

B. 13i

C. – 10

D. 10

Correct Answer: A

Solution:

Step 1: The imaginary part of a complex number is the coefficient of i in the complex number.

Step 2: So, the imaginary part of the given complex number 10 + 13i is, 13.

Related Terms for Complex Number

• Real Part
• Imaginary Part
• Conjugate

Additional Links for Complex Number

• Click here for samples

• Back to Mathematics Dictionary