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Rounding Calculator

Rounding is fundamental in mathematics, finance, and science.

What Is the Rounding Calculator?

Rounding reduces the number of digits in a number while keeping it close to the original value.

How Does the Rounding Calculator Work?

If the next digit is 5 or higher, round up; otherwise round down (or truncate).

Rounding Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Round to n decimal places: use standard rounding (5 rounds up)

Rounding to n decimal places: keep n digits after the decimal point, rounding the last digit based on the next digit.

How to Use the Rounding Calculator

  1. Enter a number, choose between decimal places or sig figs, and enter the precision.

Step-by-Step Example Calculation

Round π to 2 decimal places

Input Values:

value:3.14159
mode:places
places:2
Worked Steps: 3.14159 rounded to 2 decimal places is 3.14.

Understanding Your Result

The result and the difference from the original are shown.

Factors That Affect the Result

  • The rounding mode (nearest, floor, ceiling) changes results for edge cases.

When Should You Use This Calculator?

  • Finance (currency), science (measurement), and everyday estimation.

Assumptions & Limitations

  • Uses standard half-away-from-zero rounding.

Frequently Asked Questions

Calculation Accuracy & Reference Note

IEEE 754 floating-point arithmetic; differences below 1e-12 are display artifacts.

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