What does rounding error mean?
Definitions for rounding error
round·ing er·ror
This dictionary definitions page includes all the possible meanings, example usage and translations of the word rounding error.
Princeton's WordNet
rounding, rounding errornoun
(mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals
"the error in the calculation was attributable to rounding"; "taxes are rounded off to the nearest dollar but the rounding error is surprisingly small"
Wikipedia
rounding error
A roundoff error, also called rounding error, is the difference between the result produced by a given algorithm using exact arithmetic and the result produced by the same algorithm using finite-precision, rounded arithmetic. Rounding errors are due to inexactness in the representation of real numbers and the arithmetic operations done with them. This is a form of quantization error. When using approximation equations or algorithms, especially when using finitely many digits to represent real numbers (which in theory have infinitely many digits), one of the goals of numerical analysis is to estimate computation errors. Computation errors, also called numerical errors, include both truncation errors and roundoff errors. When a sequence of calculations with an input involving any roundoff error are made, errors may accumulate, sometimes dominating the calculation. In ill-conditioned problems, significant error may accumulate.In short, there are two major facets of roundoff errors involved in numerical calculations: The ability of computers to represent both magnitude and precision of numbers is inherently limited. Certain numerical manipulations are highly sensitive to roundoff errors. This can result from both mathematical considerations as well as from the way in which computers perform arithmetic operations.
ChatGPT
rounding error
A rounding error is a type of mathematical discrepancy that occurs as a result of rounding or approximating certain numerical values, especially in the context of computer science where finite precision makes it impossible to store certain exact values. Rounding errors can accumulate in computations and potentially lead to inaccuracies or deviations in calculations and results.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of rounding error in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of rounding error in Pythagorean Numerology is: 5
Examples of rounding error in a Sentence
In Adidas terms, it is a rounding error in the marketing budget.
That's a rounding error when you know that operating costs can be about $ 1 million per day, fines need to be higher.
That's almost a rounding error.
We are very big, very long term believers in solar-plus-storage, but the capital that will have to be deployed - and the years that will have to pass before Esplanade Capital's more than just a rounding error for SolarCity - make it not a real factor today.
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"rounding error." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/rounding+error>.
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