∣x∣ = y

# Absolute Value Calculator

Calculating absolute value is a basic task performed by all Mathematical students. This calculation takes some time as well as some steps need to be followed. An Absolute Value Calculator is a handy online tool that can complete this calculation within a fraction of a second.

This online math calculator will help you in solving these problems and find the final answer quickly. It is pretty simple to find absolute values on a calculator because of its simple interface. Isn’t it exciting to read about this value and the use of a calculator for its calculation?

## Absolute Value Definition

In Mathematics, an absolute value is a magnitude or real value of the number without consideration of its symbol. Generally, all values with a positive sign will be termed absolue values of the particular number.

For example, the absolute value of “−3” is “+3”.

It is also called the modulus of the number and is represented by putting two vertical lines around the number or symbol representing the number. To show the modulus of “x”, two vertical lines “||” will be written around it and it looks like “|x|”.

The absolute value can also occur in equation format and it will be termed an “ Absolute Value Equation” For example, |x + 3| = 8 is an absolute value equation as a sign of equality occurs.

### Absolute Value Graph

Here is the Formula of the Absolute Value Graph

F(x) = k + a |x-h|

In the above formula, “k” and “h” shows the distance covered on the graph in vertical and horizontal directions. The value of “a” will show how far the graph will be stretched to both sides of the origin.

Here is the general form of a graph generated by an absolute value calculator for a particular equation.

### Absolute Value Example

Example 1:

Find the absolute value of “x” from the following equation.

|x + 17| = 21

Solution:

To find the absolute values of “x”, we have to first remove the modulus sign. When the sign will be removed, a “±” the sign will be added to the other side of the equation as shown below.

x + 17 = ± 21

To find the values, we need to write both sides separately.

x + 17 = 21				,	x + 17 = − 21
x = 21 − 17				,	x = − 21 − 17
x = 4					,	x = − 381

So, the solution set will be given as {4, −38}

### How to use an absolute value calculator?

The steps to use this online calculator on our website are as follows:

Step 1: Enter the value of x in the required input.

Step 2: The calculator will automatically display an answer on the screen.

### FAQs | Absolute Value

How do you find the absolute value step by step?

To find the absolute value of any number, we only have to remove the minus sign if given. If the number is in the form of an equation, we need to follow these steps.

• Remove the sign of modulus
• Put “±” on the other side of the equation.
• Solve equations by separately writing them
• Write the solution set of values at the end

What is an absolute value symbol?

The symbol to show absolute value is putting two vertical lines “||” around the number, symbol, or variable.

What is an absolute value equation?

All equations in which absolute values will be shown are called absolute value equations.

What is the absolute value of negative 1?

The absolute value of negative 1 is “+1”.