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

Rounding Calculator - dCode

Tag(s) : Data Processing, Arithmetics

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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

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** (or **rounding** by excess) is in the upper **rounding**.

__Example:__ `1.2` is ceil rounded to `2`

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

__Example:__ `1.7` is floor rounded to `1`

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`

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 $

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

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