Category:Definitions/Rounding
This category contains definitions related to Rounding.
Related results can be found in Category:Rounding.
Rounding is the process of approximation of a value of a variable to a multiple of a given power of whatever number base one is working in (usually decimal).
Let $n \in \Z$ be an integer.
Let $x \in \R$ be a real number.
Let $X \in \Q$ such that:
- $X = 10^n \floor {\dfrac x {10^n} + \dfrac 1 2}$
or:
- $X = 10^n \ceiling {\dfrac x {10^n} - \dfrac 1 2}$
where $\floor {\, \cdot \,}$ denotes the floor function and $\ceiling {\, \cdot \,}$ denotes the ceiling function.
Then $X$ is defined as $x$ rounded to the nearest $n$th power of $10$.
Both of these definitions amount to the same thing, except for when $\dfrac x {10^n}$ is exactly halfway between $\floor {\dfrac x {10^n} }$ and $\ceiling {\dfrac x {10^n} }$.
How these instances is treated is known as the treatment of the half.
Subcategories
This category has the following 2 subcategories, out of 2 total.
R
Pages in category "Definitions/Rounding"
The following 23 pages are in this category, out of 23 total.
L
R
- Definition:Rounding
- Definition:Rounding Down
- Definition:Rounding Error
- Definition:Rounding to Even
- Definition:Rounding to Nearest Integer
- Definition:Rounding Up
- Definition:Rounding/Error
- Definition:Rounding/Integer
- Definition:Rounding/Treatment of Half
- Definition:Rounding/Treatment of Half/Round Down
- Definition:Rounding/Treatment of Half/Round to Even
- Definition:Rounding/Treatment of Half/Round Up