Absolute value is also known as modulus. The absolute value of any number is denoted by "|B|" where B is the variable/constant and it is read as "absolute value of B" or "Modulus of B". It is a distance of B from zero. It tells about only magnitude not the direction.
Absolute value can be defined as:

|x| = $\left\{\begin{matrix} x& x > 0 \\ -x & x < 0 \end{matrix}\right.$

1. The Absolute value can only be a positive number but not negative number.
2. The absolute value of |a| is 'a'
3. The absolute value of |0| is '0'
4. The absolute value of |-b| is 'b'
5. The absolute value of -|a| is '-a'

## Absolute Value Examples

### Solved Examples

Question 1: Simplify |-5| ?
Solution:

Step 1:
Input |-5|
Step 2: |-5| = 5
Hence, the Absolute value of |-5| is 5.

Question 2: Simplify |-9| ?
Solution:

Step 1 : Input |-9|
Step 2 : |-9| = 9
Hence, the Absolute value of |-9| is 9

Question 3: Simplify |-254| ?
Solution:

Step 1: Input |-254|
Step 2: |-254| = 254
Hence, the Absolute Value of |-254| is 254.

Question 4: Simplify -|465| ?
Solution:

Step 1: Input - |456|
Step 2: -|456| = - 456, Hence the absolute value of |456| is 456 but negative sign is outside modulus sign, so it remains unchanged.
Hence, the Absolute value of -|456| is - 456.