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Operations with Complex Numbers – Examples and Practice Problems

A complex number is defined as the combination of a real number and an imaginary number. Real numbers are the numbers that we use in everyday life and with which we perform mathematical calculations. Imaginary numbers are numbers that contain the imaginary unit, which...

Division of Complex Numbers – Examples and Practice Problems

The division of complex numbers is solved by multiplying both the numerator and denominator by the conjugate of the complex number in the denominator. This will allow us to obtain a real number in the denominator and we will obtain the result to the division. Here, we...

Multiplication of Complex Numbers – Examples and Practice Problems

Complex number multiplication exercises can be solved using the distribution method of multiplication, similar to that used when multiplying two binomials. The difference is that, when we have the imaginary unit squared, i², we have to remember that this is equal to...

Subtraction of Complex Numbers – Examples and Practice Problems

Complex numbers are written in the general form a+bi, where a and b are real numbers and “i” is the imaginary unit that is equal to the square root of negative one. Basic operations like addition, subtraction, multiplication, and division can...

Addition of Complex Numbers – Examples and Practice Problems

Complex numbers are numbers that have a real part and an imaginary part. These numbers have the form a+bi, where a and b are real numbers and “i” is the imaginary unit, defined as the square root of negative one. We can perform various...