Rounding Calculator

Round numbers to nearest integer, decimal place, significant figures, fraction, or specific rounding rules.

Round a Number

Configure your rounding target, precision, and rounding mode settings below.

Understanding Rounding Rules & Modes

Rounding simplifies numbers while keeping their value close to the original.

1. Round Half Up (Standard): If the next digit is 5 or greater, round up. Otherwise, round down.
2. Banker's Rounding (Half to Even): If exact half (.5), round to the nearest EVEN integer to reduce statistical bias.
3. Floor vs Ceiling: Floor rounds toward -∞; Ceiling rounds toward +∞.

Frequently Asked Questions (FAQs)

Banker's rounding (Round Half to Even) rounds numbers ending in .5 to the nearest even number. For example, 2.5 becomes 2, and 3.5 becomes 4. This avoids upward bias in large data sets.

Significant figures represent the meaningful digits in a number starting from the first non-zero digit.

Rounding makes numbers easier to read, compare, and communicate. It is commonly used in mathematics, finance, engineering, science, and everyday calculations where an exact value is not required.

Decimal places count the digits to the right of the decimal point, while significant figures include all meaningful digits in a number, starting from the first non-zero digit.

Standard Round Half Up is suitable for most everyday calculations. Banker's Rounding is commonly used in financial and statistical applications to reduce rounding bias, while Floor and Ceiling are useful when values must always be rounded down or up.