# Pro Calculators

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# Absolute value

Absolute Value Formula:Absolute Value:|-x| = xorx = |-x|

Absolute Value DefinitionUse the Absolute Value Calculator to determine the numeric value of a real number. This process is useful in many mathematical computations and may be found in some engineering formulas. The mathematical principle of absolute value is sometimes referred to as modulus.

While the absolute value of a number is stated as the number without a positive or negative sign it is not the same as the positive value of the number. Absolute value is a distinct mathematical principle that states a value without regard to its status as a positive or negative value.

Defining Absolute ValueThe absolute value of a number is the value of the number without consideration of whether it represents a positive or negative value. By definition, an absolute value can never be a negative value.

Another way to think of the absolute value would be to look at a number line with zero in the middle. The absolute value is the distance from zero without regard to which side of the zero the number occurs.

Absolute value is noted in mathematical formulas with a vertical line on each side of the number or variable.

Using the FormulaEnter the number in question including any negative or positive notations. The calculator returns the absolute value. For example, if -3 is entered the calculator returns the absolute value of 3.

The numeric value of 0 has neither a positive or negative connotations meaning the absolute value of 0 is 0. All other numeric values have an absolute value.

Other ConsiderationsThe principle of absolute value can be applied to the variables or results of a formula. If all of the variables of formula are stated as absolute numbers, the final result will also be an absolute number. The sign function in a mathematical equation returns the negative or positive value to the variable.

How to Calculate Absolute ValueLet’s be honest – sometimes the best absolute value calculator is the one that is easy to use and doesn’t require us to even know what the absolute value formula is in the first place! But if you want to know the exact formula for calculating absolute value then please check out the “Formula” box above.

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