What is an Absolute value

 Absolute value 

The absolute value of a number is distance from zero on a number line.

The distance from zero of a number, on a number line is called its Absolute value.

Number line

For example – The absolute value of 4 is -4 and the absolute value of -4 and 4, both have the same absolute value that is 4.      

|-4| = 4

So, the absolute value of a positive number is number itself and the absolute value of a negative number is its opposite.

The absolute value of number n is n and denoted by |n|. 

The absolute value of number x is x and denoted by |x|. 

Absolute value is denote by a vertical line or bar on each side of the quantity. 

The absolute value of -6 is 6
The absolute value of 6 is 6
The absolute value of 10 is 10
The absolute value of -136 is 136
The absolute value of 0 is 0

 – |-23| = – 23

   |-23| = 23

It doesn’t matter that which way we do a subtraction, the absolute value value will always the same.

|9 – 4| =  5,  (9 – 4 = 5),      |5| = 5

|4 – 9| =  – 5,  (4 – 9 = -5)  and |-5| = 5

Here are some examples of how to find absolute values.
|5 x 4| = 20
|-5 x 4| = 20, because -5 x 4 = -20 and |-20| = 20.
-|8 – 4| = – 4, because 8 – 4 = 4 and -|8 – 4| = – 4.
|-4| = 4

Simplify the following expression

|5| + |5| = ?

= 5 + 5 = 10