Ceiling & Floor Calculator
Ceiling & Floor Calculator
Rounds to the nearest, floor, and ceiling at the chosen precision.
| Operation | Result |
|---|---|
| Original Number | 12.345 |
| Floor (round down) | 12.34 |
| Ceiling (round up) | 12.35 |
| Nearest (half up) | 12.35 |
| Decimal Places | 2 |
| Floor Difference | 0.0050 |
| Ceiling Difference | 0.0050 |
| Rounding Error | 5.0000e-3 |
Floor vs Original vs Ceiling
About the Ceiling & Floor Calculator
Ceiling and floor functions round a number to a chosen precision in opposite directions: floor always rounds down, ceiling always rounds up, and nearest-rounding picks the closer value (with .5 rounding up). This is the math behind everything from pricing and inventory to statistical estimates.
When to Use Each
Use ceiling when you must not under-estimate (materials, safety margins, capacity planning) and floor for conservative budgets. Nearest rounding is standard for currency and everyday arithmetic.
Frequently Asked Questions
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