## How to round a number to n decimal places in Java

2021-6-3 anglehua

What I would like is a method to convert a double to a string which rounds using the half-up method - i.e. if the decimal to be rounded is 5, it always rounds up to the next number. This is the standard method of rounding most people expect in most situations.

I also would like only significant digits to be displayed - i.e. there should not be any trailing zeroes.

I know one method of doing this is to use the `String.format` method:

``````String.format("%.5g%n", 0.912385);
``````

returns:

``````0.91239
``````

which is great, however it always displays numbers with 5 decimal places even if they are not significant:

``````String.format("%.5g%n", 0.912300);
``````

returns:

``````0.91230
``````

Another method is to use the `DecimalFormatter`:

``````DecimalFormat df = new DecimalFormat("#.#####");
df.format(0.912385);
``````

returns:

``````0.91238
``````

However as you can see this uses half-even rounding. That is it will round down if the previous digit is even. What I'd like is this:

``````0.912385 -> 0.91239
0.912300 -> 0.9123
``````

What is the best way to achieve this in Java?

Use `setRoundingMode`, set the `RoundingMode` explicitly to handle your issue with the half-even round, then use the format pattern for your required output.

Example:

``````DecimalFormat df = new DecimalFormat("#.####");
df.setRoundingMode(RoundingMode.CEILING);
for (Number n : Arrays.asList(12, 123.12345, 0.23, 0.1, 2341234.212431324)) {
Double d = n.doubleValue();
System.out.println(df.format(d));
}
``````

gives the output:

``````12
123.1235
0.23
0.1
2341234.2125
``````

EDIT: The original answer does not address the accuracy of the double values. That is fine if you don't care much whether it rounds up or down. But if you want accurate rounding, then you need to take the expected accuracy of the values into account. Floating point values have a binary representation internally. That means that a value like 2.7735 does not actually have that exact value internally. It can be slightly larger or slightly smaller. If the internal value is slightly smaller, then it will not round up to 2.7740. To remedy that situation, you need to be aware of the accuracy of the values that you are working with, and add or subtract that value before rounding. For example, when you know that your values are accurate up to 6 digits, then to round half-way values up, add that accuracy to the value:

``````Double d = n.doubleValue() + 1e-6;
``````

To round down, subtract the accuracy.

Assuming `value` is a `double`, you can do:

``````(double)Math.round(value * 100000d) / 100000d
``````

That's for 5 digits precision. The number of zeros indicate the number of decimals.