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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Rounding Calculator
Rounding Numbers Calculator
Answers to Questions (FAQ)
What is a rounding? (Definition)
In mathematics, a rounding is an approximate value of a number, represented with a limited decimal expansion (according to a chosen precision). Rounding leads to a loss of precision on the value of the number but can make it more practical to use it (simplification of calculations) or to display it (less digits). There are several possible rounds, the main ones are rounding to nearest, rounding by default and rounding by excess.
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), i.e. 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 (by default) of 0.99999999… are 1.
Mathematically speaking $ 0.999\dots = 1 $
Source code
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Cite as source (bibliography):
Rounding Calculator on dCode.fr [online website], retrieved on 2024-05-17,
