round-off error

[/raʊnd ɔːf ˈerər/]
nounpl: round-off errors
erro de arredondamento
1. The difference between a calculated approximation of a number and its exact mathematical value, resulting from rounding a number to a finite number of digits
The accumulation of round-off errors in floating-point arithmetic can lead to significant inaccuracies in complex calculations.
O acúmulo de erros de arredondamento na aritmética de ponto flutuante pode levar a imprecisões significativas em cálculos complexos.
2. In numerical analysis, the discrepancy introduced when a number is rounded to fewer decimal places or significant figures than required for exact representation
Engineers must account for round-off error when designing systems that require high precision.
Os engenheiros devem considerar o erro de arredondamento ao projetar sistemas que exigem alta precisão.
This is a technical term primarily used in scientific, mathematical, and computational contexts in both Brazilian and American English. It is fundamental in fields such as engineering, physics, computer science, and numerical analysis. The concept is universally understood in academic and professional settings across both cultures.
Synonyms / Sinônimos
rounding errortruncation errornumerical errorapproximation error
Antonyms / Antônimos
exact valueprecise result

Regional Variations

General Brazilian
erro de arredondamento
Standard term used in mathematics, engineering, and computer science
Rio de Janeiro
erro de arredondamento
Same as general Brazilian usage
São Paulo
erro de arredondamento
Same as general Brazilian usage
Portugal
erro de arredondamento
Identical to Brazilian Portuguese; standard technical term

Related Words

floating-point arithmeticnumerical analysisprecisionsignificant figurestruncationrounding

Related Idioms & Phrases

accumulated round-off error
propagation of round-off error
control round-off error
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