Rounding Calculator

Use this rounding calculator to round numbers to a specific number of decimal places using different rounding methods: round to nearest, ceiling, floor, or truncate.

Rounding Calculator

Enter a number, select a rounding method and decimal places, then click Calculate to see the result with step-by-step solution.

Result

What is Rounding?

Rounding is a mathematical operation used to reduce the precision of a number by removing decimal places while trying to keep the value as close as possible to the original number.

Rounding is commonly used in finance, engineering, statistics, and everyday calculations where exact precision isn't necessary or practical.

Rounding Methods

  • Round to Nearest: Rounds to the nearest value. If the digit to be rounded is 5 or greater, it rounds up; otherwise, it rounds down.
  • Ceiling (Round Up): Always rounds up to the next highest value, regardless of the digit being rounded.
  • Floor (Round Down): Always rounds down to the next lowest value, regardless of the digit being rounded.
  • Truncate: Simply removes decimal digits beyond the specified precision without rounding.

How to Use the Rounding Calculator

  1. Enter the number you want to round in the 'Number to Round' field.
  2. Select the rounding method you want to use (Round to Nearest, Ceiling, Floor, or Truncate).
  3. Choose the number of decimal places you want in the result.
  4. Click 'Calculate' to see the rounded result and step-by-step explanation.

Applications of Rounding

  • Financial calculations where cents or small amounts need to be handled consistently.
  • Engineering and scientific measurements where precision has practical limits.
  • Statistics and data analysis for simplifying large datasets.
  • Computer programming where floating-point precision needs to be controlled.