Rounding Calculator
Round a decimal number to a chosen place with this rounding calculator. Your number stays in this browser, and every result follows one stated rule: nearest place, with exact halves away from zero.
The number line places your original value between the two candidate results at the chosen rounding place, showing which way the value rounds.
How rounding works
Choose the nearest integer, ten, hundred or thousand, or one to six decimal places. Values below the halfway point round toward the closer lower magnitude; values above it round toward the closer higher magnitude. At exactly halfway, the result moves away from zero. Decimal places keep trailing zeros.
Examples
- 2.675 to two decimal places is 2.68.
- -2.5 to the nearest integer is -3.
- 1.2 to three decimal places is 1.200.
Questions about rounding
How are negative halfway values rounded?
Exact halves move away from zero, never toward it. -1.005 to two decimal places becomes -1.01, and -2.5 to the nearest integer becomes -3. The sign is set aside, the digits are rounded, and the sign returns only when the rounded result is not zero. So -2.4 becomes -2, -2.6 becomes -3, and -0.4 becomes a plain 0 with no minus sign.
Why does the result have trailing zeros?
A decimal-place choice always shows that many places, so the length tells you which setting produced the number. Rounding 1.2 to three decimal places displays 1.200, and rounding 5 to two decimals displays 5.00. Whole-number places, from ten to thousand, never show a dot. Padding happens after rounding, so those zeros are formatting, not extra precision.
Can I enter commas or scientific notation?
Use a dot for the decimal point and omit separators, currency symbols and exponents. A leading plus or minus sign is allowed, and so is a bare fraction such as .5. The limit is 100 characters after trimming outer spaces, including the sign and decimal point. Longer input gets an error message, never a quietly truncated result.
Is this banker's rounding or significant-figure rounding?
No. This calculator uses nearest-place rounding with exact halves away from zero. Banker's rounding sends halves to an even last digit, so 2.5 becomes 2 and 3.5 becomes 4 there, while this page returns 3 and 4. Significant-figure rounding counts meaningful digits from the first nonzero digit instead of a fixed place.
Why does 2.675 round to 2.68 instead of 2.67?
The value 2.675 is exactly halfway between 2.67 and 2.68, so the halfway rule decides the outcome. A tool that first converts input to a binary floating-point number stores 2.675 as slightly below the true half, sees a below-half value, and rounds down to 2.67. This page rounds the digit string directly, recognizes the exact half, and moves away from zero, giving 2.68.
Can I round a number with more than six decimal places?
Yes, as an input. Nothing limits how many decimals you may type, apart from the 100-character total. The place selector stops at six decimals, and any further digits are dropped by the same nearest-place rule. Because the rounding works on the digits you entered rather than a binary approximation, the kept digits reflect your exact input up to the chosen place.
How to round a number in three steps
Type the number into the field using plain digits and a dot. Choose a target place from the dropdown: nearest thousand, hundred, ten, integer, or one to six decimal places. Press the round button. The result line shows the rounded value, and an echo line repeats your input and the chosen place, so you can copy both into a note. Editing either field clears the result. If the input is rejected, the status line names the failed check, such as a comma used as a separator or a number longer than one hundred characters, and the focus moves to the field to fix.
Exact decimals instead of floating point
The number 2.675 looks exact on screen, but a tool that first converts input to a binary floating-point number stores it as slightly below the true half, and that version rounds down to 2.67 at two decimals. This page reads your input as a string of digits and rounds it with whole-number arithmetic, so no binary conversion ever happens. 2.675 to two decimals is 2.68, and the same care applies to every allowed input, including a number whose digits run close to the one-hundred-character limit.
The halfway rule: away from zero
When the digits you drop are exactly half of one unit of the target place, the result moves away from zero. 2.5 to the nearest integer becomes 3, and -2.5 becomes -3. The same rule one step down: 0.125 to two decimal places becomes 0.13, and -0.125 becomes -0.13. Away from the half point, plain nearest-place rounding applies: 2.4 becomes 2, and 2.6 becomes 3. The code decides the half case by doubling the remainder it drops and comparing that exact figure with the unit, so no fuzzy comparison can flip a borderline value.
Rounding to ten, hundred, or thousand
Whole-number places round to magnitude, not to a fraction. 1250 to the nearest hundred becomes 1300, because the exact half steps away from zero. 1249 to the nearest hundred becomes 1200. 999 to the nearest thousand becomes 1000. The result never shows a decimal point at these settings, and it keeps its full size: 1500 to the nearest thousand is 2000, not 2. Use these settings for figures meant to be read at a glance, such as approximating a count or rounding a budget line.
What the output always looks like
The result is a plain decimal string. A decimal-place choice pads the value with trailing zeros up to the length you picked, so 1.2 to three decimal places shows as 1.200, and 5 to two decimals shows as 5.00. Whole-number places never print a dot. The output carries no exponent notation and no thousands separator, which keeps each result ready to paste into a spreadsheet cell. When a negative input rounds to zero, the minus sign is dropped: -0.4 to the nearest integer displays as 0, not -0.
Inputs the calculator accepts and rejects
Accepted input is an optional sign, digits, and at most one dot. Forty-two, -3.75, +0.5, and .5 all pass. Commas, spaces inside the number, currency symbols, percent signs, and exponent forms like 1e3 are rejected. Outer spaces are trimmed before the check runs. The trimmed string, sign and dot included, must be one hundred characters or fewer; anything longer returns a length error instead of a truncated answer. The place dropdown only offers settings from nearest thousand to six decimals, so an unsupported place cannot be chosen from the form.
Pick the right place before you round
Choose the place from what you will report, not from how many digits you typed. This rounding calculator takes one number and one place, so it has no format string and no currency option to configure. Currency figures usually need two decimals. A measurement often keeps one digit past what the instrument displays. A rounded count rarely needs anything finer than the integer setting. Round once, from the original number, straight to the final place. Double-rounding changes results: 2.448 to one decimal is 2.4, while rounding to two decimals first gives 2.45, which then becomes 2.5. This calculator applies the rule to the place you select; it cannot choose that target for you.
Where rounding sits in a bigger calculation
Rounding is usually one step inside a wider task. Use the percentage calculator first to find a share of a total or a change between two values, then bring that result back here to trim it to the place you will publish. For advertising reports, the CPM calculator turns spend and impressions into a cost per thousand, and two decimals is often the place a reader expects. The financial calculators produce rates with many decimals, where the choice of place matters most. Related tools are linked below the form.