# Absolute Value Calculator

Absolute Value Calculator is a free online tool that helps to find the absolute value of a given number. The absolute value represents the magnitude of a number without including the sign.

## What Is Absolute Value Calculator?

Absolute Value Calculator computes the absolute value of a positive or a negative number. The absolute value of a number is represented by a modulus sign. Quantities like distance, time, price, etc., are always given by their absolute values. To use the * absolute value calculator*, enter the number in the given input box.

### Absolute Value Calculator

Note: Enter numbers upto 4 digits.

## How to Use the Absolute Value Calculator?

Follow the steps mentioned below to find the absolute value of a number using the online absolute value calculator.

**Step 1:**Go to Cuemath's online absolute value calculator.**Step 2:**Enter any number in the given input box.**Step 3:**Click on "**Calculate**" to find the absolute value of the number.**Step 4:**Click on "**Reset**" to clear the field and enter new values.

## How Does Absolute Value Calculator Work?

The increase and decrease in certain quantities is sometimes given by a positive or a negative number. However, the absolute value only considers the numeric value of the given quantity and not the accompanying sign. The absolute value of a number can be thought of as the distance of that number from 0. As distance can never be negative hence, the absolute value of a number is always positive. Suppose we have a positive number x represented on a number line. The distance of x from 0 will be x units to the right of 0. Similarly, suppose our number on the number line is negative, i.e., -x. The distance of -x from 0 will be x units to the left of 0. Here, the distance x (always positive) denotes the absolute value of the numbers in both cases. The formal definition of the absolute value can be given as follows:

If we have a function f(x) = |x|, then we can say:

|x| = x, if x > 0 (x is positive).

and

|x| = -x, if x < 0 (x is negative).

## Solved Examples on Absolute Value

**Example 1:** Find the absolute value of 25 and verify it using the online absolute value calculator.

**Solution:**

According to the formula,

|x| = x, if x > 0 (x is positive)

|25| = 25.

Hence, the absolute value of 25 is 25.

**Example 2:** Find the absolute value of -25.2 and verify it using the online absolute value calculator.

**Solution:**

According to the formula,

|x| = -x, if x < 0 (x is negative)

|-25.2| = -(-25.2) = 25.2

Hence, the absolute value of -25.2 is 25.2.

Now, use the online absolute value calculator and find the absolute values of the following numbers.

- 7.2
- -5.6

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