# Absolute Value Calculator

Instructions: Type any number and the solver will compute its absolute value. For fractions type "-2/3", for example.

Type the number to compute its absolute value =

## How to Use This Absolute Value Calculator?

The absolute value is a math operation applied to real numbers that is defined as follows:

• For a real number $$x$$, if $$x$$ is positive (or zero), the absolute value of $$x$$ is just $$x$$
• On the other hand, if $$x$$ is negative, the absolute value of $$x$$ is $$-x$$

### What is absolute value symbol?

Mathematically speaking, the most common symbol used for absolute value is $$| x |$$, which represents the absolute value of a given number $$x$$. But that is not always the case, as some calculators may use their own specific notation, such as $$abs(x)$$, which is also commonly used.

### Absolute Value Equations

One of the most common applications of absolute value, aside from simply calculating absolute value of numbers is its use on equations. For example

$$|x - 1 | = 3$$

corresponds to a absolute value equation, because there is an equation that needs to be solved for $$x$$, and there is an absolute value involved in there. This kind of equation could be harder to deal with because of the need of dealing with the absolute value correctly.

### Examples of absolute value calculations

For example:

$|3| = 3$

because 3 is positive. On the other hand,

$|-5| = -(-5) = (-1)\cdot(-5) = 5$

because -5 is negative, and the absolute value of a negative number is computed by multiplying the number, in this case $$-5$$, by $$-1$$