Rounding Calculator
Rounding is evaluated from Number to Round, Decimal Places and Round to Nearest Multiple. The calculation reports Rounded, Floor and Ceiling.
Results
About the Rounding Calculator
The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.
Formula basis:
Rounded = round(n x 10^d) / 10^d (where d = decimal places)
To Multiple = round(n / m) x m
Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.
Formula & How It Works
The calculation applies the following relations exactly as recorded in the metadata: Rounded = round(n x 10^d) / 10^d (where d = decimal places) To Multiple = round(n / m) x m Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.
Worked Examples
Example 1: Price Rounding — Retail
Inputs
With Number to Round = 19.9749 and Decimal Places = 2 as the stated inputs, the result is Rounded = 19.97, Floor = 19.97 and Ceiling = 19.98. Each value corresponds to the declared output fields.
Example 2: Scientific Measurement — 4 Decimal Places
Inputs
With Number to Round = 3.141593 and Decimal Places = 4 as the stated inputs, the result is Rounded = 3.1416, Floor = 3.1415 and Ceiling = 3.1416. Each value corresponds to the declared output fields.
Example 3: Round to Nearest 25 — Cash Register
Inputs
With Number to Round = 87, Decimal Places = 0 and Round to Nearest Multiple = 25 as the stated inputs, the result is Rounded = 87, Floor = 87 and Ceiling = 87. Each value corresponds to the declared output fields.
Example 4: Engineering Tolerance — Round Down (Floor)
Inputs
With Number to Round = 24.9967 and Decimal Places = 1 as the stated inputs, the result is Rounded = 25, Floor = 24.9 and Ceiling = 25. Each value corresponds to the declared output fields.
Common Use Cases
- Round a price to the nearest cent
- Round a measurement to 3 significant figures
- Round a number to the nearest hundred
- Truncate a decimal value