# Online Algebra Tutoring: Complex Numbers

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## Learn Complex Numbers from Certified Online Algebra Tutor:

z = x + yi, where x is the real part and yi is the imaginary part.

**x and y** are real numbers and **‘i’** is the imaginary number and its value is **√(-1)**

Some examples of Complex Numbers:

**• 7 + 4i**

**• 8 – 3i**

**• 1.1 + 3.2i**

**• 5**

**• -7i**

Example1: 5 is a complex number as the imaginary part of this complex number is 0.

So the number is 5 + 0i.

Example2: -7i is also a complex number as in this the real part is zero.

#### Equal Complex Numbers

If there are two complex numbers:

x + yi and p + qi then these complex numbers are equal if and only if,

x= p and y= q.

#### Modulus of a Complex Number

### Arithmetic operations with Complex Numbers

**• Addition **

**• Subtraction**

**• Multiplication**

**• Division**

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