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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