Rounding Calculator
Round numbers to any decimal place with multiple rounding modes and step-by-step explanations
Enter Number to Round
Round to nearest, ties away from zero (default)
Rounding Examples - Round to nearest, ties away from zero (default)
| Original | Rounded (to integer) |
|---|---|
| 2.5 | 3 |
| -2.5 | -3 |
| 3.5 | 4 |
| -3.5 | -4 |
| 2.3 | 2 |
| -2.3 | -2 |
| 2.7 | 3 |
| -2.7 | -3 |
Common Rounding Examples
Rounding to Integers
7.5 → 8 (half up)
7.4 → 7 (less than 0.5)
7.6 → 8 (greater than 0.5)
-7.5 → -8 (half up, away from zero)
Rounding to 2 Decimal Places
3.14159 → 3.14
2.47891 → 2.48
1.235 → 1.24 (half up)
1.234 → 1.23
Rounding Rules
Half Up (Default)
0.5 and above → round up
Below 0.5 → round down
Half Even (Banker's)
Ties round to even number
Reduces cumulative error
Floor/Ceiling
Floor: always round down
Ceiling: always round up
Precision Guide
Common Uses
Finance
Currency calculations
Engineering
Measurement precision
Statistics
Data presentation
Grading
Score calculations
Understanding Number Rounding
What is Rounding?
Rounding is the process of reducing the number of digits in a number while keeping its value close to the original. It makes numbers simpler to work with and easier to understand, while maintaining sufficient accuracy for the intended purpose.
When to Round Numbers
- •Simplifying calculations for easier mental math
- •Presenting data in reports and presentations
- •Meeting precision requirements in measurements
- •Financial calculations with currency
Rounding Modes Explained
Half Up (Most Common)
When exactly halfway, always round away from zero. 2.5 → 3, -2.5 → -3
Half Even (Banker's Rounding)
When exactly halfway, round to the nearest even number. Reduces bias in calculations.
Floor and Ceiling
Floor always rounds down, ceiling always rounds up, regardless of the decimal part.