Floor and Ceiling Calculator

This floor and ceiling calculator works out the floor, the ceiling, the nearest whole number and the fractional part for any number you enter. The floor is the greatest whole number that is less than or equal to your number, and the ceiling is the smallest whole number that is greater than or equal to it, so for 3.7 the floor is 3 and the ceiling is 4. You enter a single value into the number field, using a minus sign for negative numbers, and the results update instantly as you type. The result shows the floor and ceiling together, plus the nearest integer from ordinary rounding and the fractional part, which is your number minus its floor. These functions come up constantly outside pure maths: programmers use them to size arrays and handle pagination, tradespeople use ceiling values to round material quantities up so they never run short, and students use them to check working on greatest integer function problems. Negative numbers are where the two functions most often surprise people, because the floor moves further away from zero while the ceiling moves towards it, so minus 3.7 has a floor of minus 4 but a ceiling of minus 3. Enter the default value of 3.7 to confirm the worked example, then try a negative number to see the results flip.

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