Rounding Calculator
Rounded Value = Original Number rounded to the selected decimal place.
Example:
If 123.456 is rounded to 2 decimal places:
123.456 → 123.46
Rounding a number means simplifying it to make it easier to work with, while still keeping it close in value. For example, rounding 2.7 to the nearest whole number gives you 3. This calculator helps you round numbers based on several common rules.
Rounding Methods Explained
This calculator offers multiple rounding techniques. By default, it rounds to the nearest whole number, but you can choose from various rounding styles and precision levels.
1. Round Half Up
This is one of the most widely used rounding methods. When a number is exactly halfway between two values, it rounds up to the next whole number.
Examples:
5.50 → 6
5.51 → 6
5.49 → 5
Negative Numbers:
-5.50 → -5
-5.51 → -6
-5.49 → -5
2. Round Half Down
Similar to round half up, but halfway values are rounded down instead.
Examples:
5.50 → 5
5.51 → 6
5.49 → 5
Negative Numbers:
-5.50 → -6
-5.51 → -6
-5.49 → -5
3. Round Up (Ceiling)
This method always rounds a number up to the nearest whole number.
Examples:
5.01 → 6
-5.01 → -5
-5.99 → -5
4. Round Down (Floor)
Rounding down takes a number to the nearest lower whole number.
Examples:
5.99 → 5
-5.01 → -6
-5.99 → -6
5. Round Half to Even (Bankers’ Rounding)
This method rounds halfway numbers to the nearest even number to reduce rounding bias.
Examples:
5.5 → 6
6.5 → 6
-7.5 → -8
-8.5 → -8
6. Round Half to Odd
This method rounds halfway values to the nearest odd number.
Examples:
5.5 → 5
6.5 → 7
-7.5 → -7
-8.5 → -9
7. Round Half Away from Zero
This method pushes halfway values away from zero, regardless of whether the number is positive or negative.
Examples:
5.5 → 6
-5.5 → -6
8. Round Half Toward Zero
The opposite of rounding away from zero—this method rounds halfway values toward zero.
Examples:
5.5 → 5
-5.5 → -5
Rounding to Fractions
You can also round numbers to the nearest specified fraction, such as 1/8. This is especially useful in fields like construction or engineering.
Examples (rounded to nearest 1/8):
15.65 → 15 5/8 (15.625)
15.70 → 15 6/8 (15.75)
15.80 → 15 6/8 (15.75)
Whether you’re working with decimals, fractions, or whole numbers, this tool offers flexible rounding options to suit your needs—ideal for students, professionals, and everyday users.