Rounding calculator
Rounding methods
Our rounding calculator helps you simplify numbers and make them easier to understand by replacing them with an approximation. While the results are less exact, they have the same value and are more convenient to use.
With our smart tool, you can seamlessly calculate the numbers using a rounding method from this list:
- Round half up
- Round half down
- Round up
- Round down
- Round half to even
- Round half to odd
- Round half away from zero
- Round half towards zero
- Rounding to fractions
Round half up
This is a common rounding method used to create less precise numbers that are, in turn, easier to understand. Also called rounding half towards positive infinity, it involves rounding values that are halfway between the chosen precision up.
For instance, when rounding to the ones place, we get the following results:
At the same time, with negative numbers, we are rounding them towards more positive values. For example:
Round half down
Also named rounding towards negative infinity, this method is very similar to rounding half up. The only difference is that the numbers are halfway between the picked rounding precision down instead of up. So, when using our rounding calculator to round these numbers half down to the ones place, you'll get the following results:
With negative numbers, however, we're rounding values that are halfway towards the smaller value. For instance:
Round up (ceiling)
Rounding up, or taking the ceiling, means increasing the number to its next higher value.
For instance, when rounding to the ones place, you need to replace the number with the next higher integer, as shown here:
With negative numbers, you have to replace the value with its next more positive integer. For example:
Our calculator allows you to achieve rounding precision instantly and without extra hassle.
Round down (floor)
Rouding down, or taking the floor, is another common method used in our rounding calculator. It means replacing the number with the next lowest value.
When you round down a number to the ones place, you reduce it to the next lowest integer. For instance:
If you are rounding down a negative number, you replace it with the next more negative integer. For example:
Use our user-friendly calculating tool to momentarily determine the values you want to round down.
Round half to even
Rounding values half to even is one of the tie-breaking rounding methods. It doesn't have any positive or negative biases and is free from biases towards or away from zero. In this case, the value is rounded to the next even integer, as shown in these examples:
With our intuitive calculator, you can round any number half to even in a blink of an eye.
Round half to odd
Similar to rounding half to even, this method is considered a tie-breaking rule. Free from biases towards or away from zero as well as from positive or negative biases, it is a unique rounding approach.
When rounding value half to odd, you have to replace the value with the next odd integer. For instance:
Use our rounding calculator for seamless and precise computing!
Round half away from zero
Unlike most rounding methods, this approach doesn't have any biases based on positive or negative numbers. Hence, it is also a tie-breaking rule of its kind.
Rounding half away from zero means replacing the number with the next integer further from positive or negative infinity, based on whether the value is positive or negative. For example:
Round your number half away from zero in a split second with our smart rounding calculator.
Round half towards zero
Similar to rounding half away from zero, this method serves as a tie-breaking rule. This approach is not based on positive or negative values.
To round the half number towards zero, you should replace it with the next integer that is closer to zero than it is to negative or positive infinity (depending on the number's value). For instance:
Achieve rounding precision instantly with our intuitive tool. Use our rounding calculator for the most accurate results.
Rounding to fractions
Our intuitive rounding calculator also allows you to round to fractions. It is a widely-used method in mathematics, which involves rounding values to the closest multiple of the given fractions.
For instance, you can round to the next 1/8:
This rounding method has many applications and is commonly used in engineering.
With our easy-to-use calculating tool, you can round a number to any fraction you want in an instant.