Standard From Complex Numbers

                    Lesson 1

                                                                                            

                                                            The imaginary unit is defined as i = √-1.

 

                                                            A complex number is either a real number or an imaginary number or the sum of both.

 

                                                            The standard form of a complex number is a + ib

 

                                                            Where a is the real part of a complex number and b is the imaginary part of a complex number.

                                                           

                                                            Problem:                   Identify a & b

                                                                                                3 + 8i

                                                            Solution                    See the complex number carefully

Step 1:  

                     

                                                                                Solution                          The standard form of a complex number is a + ib

Step 2:                        

 

                                                                                Solution                           We compare the given number with the standard form

Step 3:           

             

                                                            Solution                    The answer is:  a = 3; b = 8

 Step 3:                                                                      

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

 

Identify a and b.

A.

7 + 9i

 

Write in standard a + bi form.

B.

6i

 

 

        

 

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