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Rounding Calculator

Tool to compute roundings, an approximate value of digits/decimal places (rounding down floor, rounding up ceil, rounding to multiple) from a given precision.

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Rounding Calculator -

Tag(s) : Data Processing, Arithmetics

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# Rounding Calculator

## Rounding Numbers Calculator

 Rounding/Approximation Type Round to nearest value (classical rounding) Floor value (round by default/to lower value) Ceil value (round by excess/to upper value)

### How to calculate a Rounding?

dCode allows rounding (or approximate value) from an exact value, to the desired number, the rounded default is closest (approximation), ie the upper value if the decisive digit is greater than or equal to 5 and the lower value if the decisive digit is less than 5.

Round to ones (no decimal dot), round to tenth (1 one decimal place), round to hundredth (2 two decimal places) or round to thousands (3 three decimal places).

Example: 3.15 is rounded to 3.2 with 1 digit after decimal point (to tenth)

Some textbooks refer to rounding to + infinity for rounding up or - infinity for rounding down, or to 0 for rounding down positive numbers and rounding up negative numbers.

Monetary notations (euros, dollars, etc.) use a 2-digit precision format

### How to calculate a Rounding to a multiple?

dCode calculates the nearest multiple (rounded up/superior or rounded down/inferior to the multiple).

Example: 123 can be rounded to the closest multiple of 5 so: 125.

### How to calculate a Ceiling Round?

The ceiling rounding (or rounding by excess) is in the upper rounding.

Example: 1.2 is ceil rounded to 2

### How to calculate a Floor Round?

Floor rounding (or rounding by default) is the lower rounding.

Example: 1.7 is floor rounded to 1

### How to calculate a truncation?

Truncation is the removal of digits beyond a certain precision, without taking into account any rounding.

Example: 2.89 truncated to 1 decimal value gives 2.8

### What is a significant figure?

The significant digits are the figures (of a decimal number) known with certainty. They depend on the measuring tool, but also on the rounding done.

Example: 0.0123 has 3 significant digits (1,2,3)

### How to round 0.99999999...?

All rouding of 0.99999999... are 1.

Mathematically speaking $0.999... = 1$

## Source code

dCode retains ownership of the online 'Rounding Calculator' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any 'Rounding Calculator' algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any 'Rounding Calculator' function (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and no data download, script, copy-paste, or API access for 'Rounding Calculator' will be for free, same for offline use on PC, tablet, iPhone or Android ! dCode is free and online.

## Need Help ?

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!

Thanks to your feedback and relevant comments, dCode has developed the best 'Rounding Calculator' tool, so feel free to write! Thank you!

Source : https://www.dcode.fr/rounding-calculator
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