Floor Function Calculator
The Floor Function
The floor function (also known as the greatest integer function) of a real number \(x\) is the greatest integer that is less than or equal to \(x\).
It is denoted as \(\lfloor x \rfloor\).
Formula:
\( \lfloor x \rfloor = \max \{ n \in \mathbb{Z} \mid n \le x \} \)
In simpler terms, it always rounds the number down to the nearest whole number.
Examples:
- \(\lfloor 3.14 \rfloor = 3\)
- \(\lfloor 7 \rfloor = 7\)
- \(\lfloor -2.7 \rfloor = -3\)
Disclaimer: This calculator is for educational purposes only. While we strive for accuracy, please verify all results for critical applications.
Calculates the greatest integer less than or equal to a number.
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