Tool to compute roundings (integers, decimals, to multiple). Rounding a number is calculating an approximate value using truncation of its digits/decimal places (rounding down floor, rounding up ceil, rounding to multiple) in the limits of the precision asked to the calculator.

Rounding Calculator - dCode

Tag(s) : Data processing, Arithmetics

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Tool to compute roundings (integers, decimals, to multiple). Rounding a number is calculating an approximate value using truncation of its digits/decimal places (rounding down floor, rounding up ceil, rounding to multiple) in the limits of the precision asked to the calculator.

dCode allows **rounding** 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

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.

The ceiling **rounding** is in the upper **rounding**.

__Example:__ 1.2 is ceil rounded to 2

Floor **rounding** is the lower **rounding**.

__Example:__ 1.7 is floor rounded to 1

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)

All rouding of 0.99999999... are 1.

Mathematically speaking $ 0.999... = 1 $

dCode retains ownership of the source code of the script Rounding Calculator online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online Rounding Calculator script for offline use on PC, iPhone or Android, ask for price quote on contact page !

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

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