Calculate with any Precision

Subtraction:

Multiplication:

Name: Calculate with any Precision
Author: Jürgen Kummer

Here the four basic arithmetic operations as well as the power calculation for integer powers can be carried out with very high accuracy. A maximum of five digits after the decimal point (99999) is possible, fewer are recommended in order not to paralyze the browser. With → a number can be rounded to any precision.

Maximum number of decimal places:

Round:

Please enter the first two values in the according line and calculate the result by clicking on =. Allowed entries are numbers with a point or comma as the decimal separator. For the power, the second value must be an integer (positive or negative). The result can then be copied out of the output field.

Example with 100 decimal places: 1 / 1117 = 0.0008952551477170993733213965980304386750223813786929274843330349149507609668755595344673231871083259

In practice, programs written in JavaScript, such as those on these pages, work with up to a maximum of 15 decimal places. In the vast majority of cases, this is more than enough. At the 15th decimal place, you are already in the range of quadrillionths. However, there are cases where you need greater precision, which are usually purely mathematical in nature. In this case, you have to use external libraries that enable greater precision, such as big.js linked above. Calculations with a large number of decimal places require a lot of memory and computing time.
Very small numbers are usually written in exponential notation, which does not require many decimal places, for example 10^-9 for 0.000000001 or a billionth. When numerical values are linked to units, such as the meter, you usually work with prefixes such as milli- for thousandths, micro- for millionths and nano- for billionths.

Last updated on 06/27/2025. Author: Jürgen Kummer