
Absolute Value of a Number 
The absolute value of a real or complex number is its distance to zero. This absolute value or simply modulus is always a nonnegative real number. 
Absolute value of a real number 
Simply put, you obtain the absolute value of a real number by omitting the sign. If real numbers are displayed on a number line, the negative numbers are to the left of the zero point and the positive numbers to the right of the zero point. 
The absolute value of a real number is the distance from the zero point on the number line. The absolute value of a real number x is written as  x , or as a function abs (x). 
Example: 
The absolute value of 3 is equal to 3
3 = 3
The absolute value of 3 is equal to 3
3 = 3
The absolute value of 0 is equal to 0
0 = 0


Absolute value of a complex number 
The representation of vectors of a complex number always results in a rightangled triangle consisting of the two catheters a and b and the hypotenuse z. The absolute value of a complex number corresponds to the length of the vector. 
The value of a complex number z = a + bi is: 
The figure below shows the graphical representation of the complex number 3 + 4i. 

