Absolute Value Calculator

Absolute value calculator provides the absolute values ​​of numbers and functions separately for given inputs. Our tool provides all the key details about absolute functions and inequalities.

In mathematics, an absolute value equation is an equation that includes an absolute value expression. For example, |x+1| = 2. Here, |x+1| is the absolute value expression. Absolute value measures how far a number is from zero. Negative signs are ignored. It indicates the magnitude or size of a number.

For example, |-2| = 2

What is Absolute Value?

The absolute value of a number is its distance from 0 on a number line. It doesn’t matter whether the number is negative or positive because absolute value measures how far the number is from zero.

Writing Absolute Value in Code

In programming, absolute value is usually implemented as a function that “returns the distance from zero.” You can use this function with variables or expressions.

For example, the absolute value of | x – 3 | is the distance between x and 3 on a number line. The function ensures that the result is always positive, no matter what the value of x is.

Example absolute values

The absolute value of 9 is 9, written as | 9 | = 9

The absolute value of -9 is 9, written as | -9 | = 9

The absolute value of 0 is 0, written as | 0 | = Written as 0

How to Solve Absolute Value Equations?

Solving absolute value equations is as easy as solving regular linear equations. The additional step is to separate the original absolute value equation into two cases: positive and negative (±) parts.

The symbol ∣x∣ always represents a non-negative number. For example, |x| → +|x|.

The value inside the absolute symbol | | can be any expression.

To solve an equation, the value on the right-hand side must be zero or positive.

If the value on the right-hand side, “a,” is negative, the equation has no solution.

Example:

Solve the absolute value equation −∣x∣ = −9.

How does the absolute value calculator work?

Our absolute value calculator converts the given inputs into positive numbers and evaluates the absolute value graphs and key points of the equation using the following steps:

Input:

Enter a number, function, or equation in the input box.

Press the calculate button to get the solution.

Output:

The calculator calculates the absolute values ​​of the numbers or equations based on your selected option.

How Does an Absolute Value Calculator Work?

The rise and fall of a particular quantity are sometimes expressed as a positive or negative number. However, absolute value focuses only on the numerical part of the quantity, ignoring its sign. The absolute value of a number represents its distance from 0. Since the distance can never be negative, absolute value is always positive. Suppose we have a positive number x on a number line. The distance from 0 to x measures x units to the right of 0. Similarly, if the number on the number line is negative, that is, -x, then the distance from 0 measures x units to the left of 0. In both cases, this distance x (always positive) represents the absolute value. The formal definition of absolute value can be expressed as:

If we set f(x) = |x| Defining the function, we write:

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

And

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

The absolute value calculator helps you find the absolute value of any number. Absolute value is a measure of how far a number is from zero, regardless of its sign. It is always positive and is shown using vertical bars around the number. For example, the absolute value of -5 is | -5 | = 5.

You may need absolute values ​​for a variety of reasons. In algebra, they help simplify equations or solve for unknowns. In geometry, absolute values ​​help find the distance between points on a plane. Absolute values ​​also appear in physics, engineering, and many other fields.

To use the calculator, enter the number you want to evaluate. This tool will give you the correct absolute value, whether the number is positive or negative.

If you prefer to calculate manually, you can remove the negative sign from a negative number. For example, the absolute value of -7 becomes 7 after removing the negative sign.

FAQs