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## Multiplication of Complex Numbers

#### High School - HSN-CN.B.5

How to Perform Basic Operations with Complex Numbers (NB) Complex numbers are the combination of a real number and an imaginary number in the form a + bi Here, a and b are the real numbers, whereas i is the imaginary number. As you will move up in grade, you will be faced with complex mathematics problems to solve. You will come across problems that will require you to perform operations on real and imaginary numbers together. In such a case, you would be required to write them in the form of a complex number to be able to add, subtract, multiply, or divide them. Follow the steps to perform basic mathematical operations on these complex numbers. Add the like ones. Add the real part of the complex number to the real part and the imaginary part to the imaginary part of the number. To subtract them, make sure to arrange the real parts at one side and the imaginary to the other side, then perform subtraction. Multiply the complex numbers combining the like terms in the complex number and using the FOIL method. To perform division on two complex numbers, start by multiplying the numerator and denominator by the complex conjugate, then expand and simplify. After it is done, write the final answer in standard form.

### Printable Worksheets And Lessons  #### Homework Sheets

More subtraction will be added soon.

• Homework 1 - These types of problems are not that challenging.
• Homework 2 - The formula for the product of two complex numbers is: (a+bi)(c+di) = a(c+di) + bi(c+di)
• Homework 3 - Combine and finish is the best method.

#### Practice Worksheets

We focus on the use of the operations and the final outcome.

• Practice 1 - When you are adding complex numbers, you just combine like terms.
• Practice 2 - When subtracting, just do the reverse and subtract like terms.
• Practice 3 - The addition rule for complex numbers states: (m +ni) + (p + qi) = (m + p) + (n + q)i m an p are real numbers.

#### Math Skill Quizzes

Can't be a good operation working sheet for complex numbers.

• Quiz 1 - ni and qi are the imaginary numbers.
• Quiz 2 - Place our numbers into this formula: (56 + 59i) + (66 + 89i)
• Quiz 3 - Start adding two brackets.