Absolute Value Calculator

Absolute Value Calculator can be used for the finding absolute value of any number. It may be positive or negative, even decimal. Absolute value indicates the the distance from zero to other numbers. So, it is always positive number.Use this calculator to get the absolute value of any numbers. Enter any real number in the below . It will show you the results with equation. Let's find absolute value calculator

Absolute Value Calculator

Enter any number and hit the Calculate button


Absolute Value Results

NumberX = 0
Absolute Value| X | = 0

What is Absolute Value ?

The absolute value of any number indicates the distance from zero. As we know that, the distance can't be negative, so the absolute value is always positive number. In short we can say that, the absolute value is the non-negative real numbers which express the distance from zero.In mathematics, Absolute value is express by modulus sign ( | |). Therefore, when we express |X|, it represents absolute value of X.

 If X is positive number then |X| = X and if the X is negative number the absolute value X will be |X| = -X. For example, |-4| = - (-4)  = 4 and |4| = 4

Absolute Value of any real number

Absolute Value Equation Calculation

Like general algebraic equation, Absoulute value equation can be calculated. But when you are going to remove modulus sign, you have to calculate two values for that equations. Because, the value of unknown variable may be positive or negative. That's the reason, we have to consider two value of that variable. We have provided an example below. You can use our absolute difference calculator to find the absolute difference beteen two number

Let consider a equation with a absolute value. The equation is given below. We are going to solve the equation step by step 

=>  5(|2x−3|)=45

Step 1: Divide both sides by 5.

=>  |2x−3|=9

Step 2: Solve Absolute Value.

=>  |2x−3|=9

 We know either 2x−3=9 or 2x−3=−9

Possibility 1:

=>   2x−3=9 

=> 2x−3+3=9+3  (Add 3 to both sides)

=> 2x=12

=> 2x ÷ 2 = 12 ÷ 2 (Divide both sides by 2)

=> x=6

Possibility 2:

=>  2x−3=−9

=>  2x−3+3=−9+3(Add 3 to both sides)

=> 2x=−6

=> 2x ÷ 2 =−6 ÷ 2 (Divide both sides by 2)

=> x=−3

Answer:: x=6 or x=−3

Hope you have got a clear concept about how to calculate absolute value. Equation can be solve in general algebric formula. But you have to conside the both positive and negative value while lifting up the absolut sign or modulus sign. For more clear cocept, you can view the Khan Academy's Absolute Value Equations

Absolute Value Formula

If you are looking for absolute value formula, then you can check the image below. 

Absolute Value Formula

How to do absolute value on calculator?

There is no direct absolute button on the calculator. Based on your calculator model, it may be in different option. Try to check your catalogue to get the sign. I have just added two possible options to get absolute value on calculator. Onething you need to remind that, some calculator may have bars. Most of the calculator don't have. Let check the image below to solve the absolute value equations on calculators.

Get Absolute value on calculator

I have shown it according to my calculator. Your calculator may have in different option. Check the manual of your calculator.

What is the absolute value function?

The absolute value function is a function that returns the absolute value of a number. The absolute value of a number is the number's distance from zero on a number line.

What are the properties of absolute value?

The absolute value of a real number is the numerical value of the number without its sign. For example, the absolute value of −5 is 5, and the absolute value of 5 is also 5. The absolute value of a number may be thought of as its magnitude; the distance of the number from zero on a number line.

The absolute value of a number is always positive or zero. A number's absolute value is the same as its magnitude. The two are related by the following equation:

magnitude = absolute value * sign

The absolute value of a number is never negative.

What is the inverse of absolute value?

There is no inverse of absolute value, because absolute value is a function that always returns a positive value, regardless of the input.

How do you graph absolute value?

To graph absolute value, you need to find the equation's vertex. This is done by setting the equation equal to zero and solving for x. The x-coordinate of the vertex is the absolute value of the equation. To graph, you plot this point and draw a line perpendicular to the x-axis.

What are the real world applications of absolute value?

 

There are a number of real world applications for absolute value. One common application is in determining the distance between two points. Absolute value can also be used to determine the magnitude of a vector, or the length of a line segment. Additionally, absolute value can be used to find the equation of a line when given two points on that line.

What are some common mistakes people make when calculating absolute value?

There are a few common mistakes that people make when calculating absolute value:

1. Not using the absolute value symbol.

The absolute value symbol is | | and it indicates that whatever is inside of it is to be considered as a positive number. Without this symbol, the number could be interpreted as either positive or negative, which would obviously lead to incorrect results.

2. Forgetting to take the absolute value of negative numbers.

When taking the absolute value of a number, it doesn't matter if the number is positive or negative. The result will always be positive. However, people often forget to take the absolute value of negative numbers and as a result, they end up with the wrong answer.

3. Incorrectly calculating the absolute value of a complex number.

The absolute value of a complex number is the distance of the number from the origin (0,0) on a complex plane. To calculate this, the real and imaginary components of the number must be squared and then added together. The square root of this sum is the absolute value.

How do I calculate absolute value?

Absolute Value of any number is dependent on the sign of the number. If the number is positive then the absolute value is equal to the number. If the number sign is negative, the absolute value will be the positive sign of the number. In short, Absolute Value is always the positive number. For Example, |22| = 22

What is the absolute value of zero?

The absolute value of zero is zero.

What is the absolute value of a negative number?

The absolute value of a negative number is the same as the absolute value of a positive number. The absolute value of a number is the distance from zero on a number line.

What is the absolute value of a complex number?

The absolute value of a complex number is the distance of the number from the origin on the complex plane. It is also known as the magnitude of the complex number.