Racira Calculator

Ceiling & Floor Calculator

Ceiling & Floor Calculator

Rounds to the nearest, floor, and ceiling at the chosen precision.

Rounded to Nearest
12.35
Floor: 12.34 · Ceiling: 12.35
Floor
12.34
Ceiling
12.35
Nearest
12.35
OperationResult
Original Number12.345
Floor (round down)12.34
Ceiling (round up)12.35
Nearest (half up)12.35
Decimal Places2
Floor Difference0.0050
Ceiling Difference0.0050
Rounding Error5.0000e-3

Floor vs Original vs Ceiling

Summary Statistics
Floor12.34
Ceiling12.35
Nearest12.35
Decimal Places2
Width (ceil−floor)0.0100
Error (nearest)5.000e-3

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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