This free online rounding calculator rounds any number to the nearest integer, a set number of decimal places, or the nearest multiple of a number you choose. Pick whether to round to the nearest value, always round up, or always round down for full control.
How to Use the Rounding Calculator
Enter the number you want to round in the "Number" field.
Choose a "Rounding Type": Nearest, Round Up, or Round Down.
Choose what to "Round To": Decimal Places, Nearest Integer, or Nearest Multiple Of.
If applicable, set the "Decimal Places" or "Multiple" value that appears.
Click "Calculate" to see the rounded result.
How Each Rounding Option Works
Nearest: looks at the part you are dropping. If it is less than half, the number goes down; if it is half or more, it goes up. So 3.14159 to two decimals is 3.14, and 2.675 becomes 2.68.
Round Up: always moves to the next value in the positive direction, even if only a tiny fraction is being dropped. 3.141 to two decimals becomes 3.15. This is also called the ceiling.
Round Down: always moves to the next value in the negative direction and simply discards the extra digits for positive numbers. 3.149 to two decimals becomes 3.14. This is also called the floor.
The "Round To" setting chooses the step size. Decimal Places rounds to a step of 0.1, 0.01 and so on; Nearest Integer uses a step of 1; Nearest Multiple Of lets you pick any step, such as 5, 100, 0.5 or 0.05.
Examples with 1,234.5678
The same number rounded in different ways using the "Nearest" rounding type:
Round to
Result
2 decimal places
1234.57
0 decimal places (nearest whole number)
1235
Nearest multiple of 0.05
1234.55
Nearest multiple of 5
1235
Nearest multiple of 100
1200
With "Round Up" and a multiple of 12, the number 47 becomes 48, which is how you would work out how many dozen-egg trays to buy. With "Round Up" and a multiple of 1000, 37 becomes 1000.
Negative Numbers and Halfway Cases
Up and down are measured on the number line, not by size. Rounding −2.3 up gives −2, and rounding −2.7 down gives −3. In "Nearest" mode, an exact half always goes towards positive infinity: 2.5 becomes 3, but −2.5 becomes −2, not −3. Some textbooks and spreadsheet functions round halves away from zero instead (giving −3), and statistical software sometimes uses "round half to even" (giving 2 for 2.5). If you are matching another tool or a teacher's method, check which convention it uses.
Where Each Option Is Useful
Money: rounding a bill of ₹1,234.57 to the nearest rupee gives ₹1,235. Many shops and invoices round the final total this way, while individual line items are usually kept to two decimal places (paise).
Packing and ordering: when you cannot buy part of a box, roll or bag, round up to the pack size. For 47 tiles sold in boxes of 12, rounding up to a multiple of 12 tells you to buy 48.
Capacity limits: when something must not exceed a limit, round down. If a pickup can carry 1,000 kg and each sack weighs 45 kg, 1,000 ÷ 45 = 22.22, and rounding down to 22 sacks keeps the load within the limit.
Reporting measurements: round lab readings to the precision of your instrument, for example to one decimal place for a ruler marked in millimetres when working in centimetres.
Round only the final answer. Rounding intermediate steps and then calculating with the rounded values can shift the final result, especially when many steps are involved.
Frequently Asked Questions
"Nearest" uses standard rounding (Math.round) to the closest value, "Round Up" always rounds toward positive infinity (Math.ceil), and "Round Down" always rounds toward negative infinity (Math.floor), regardless of how close the number is to the next value.
The calculator multiplies the number by 10 raised to the number of decimal places, applies the chosen rounding method, then divides back by the same factor. For example, rounding 3.14159 to 2 decimal places gives 3.14.
It divides your number by the multiple, rounds the result using the selected rounding type, then multiplies back by the multiple. A multiple of zero isn't allowed and shows the error "Multiple cannot be zero".
No. Decimal places count digits after the decimal point, while significant figures count digits from the first non-zero digit. 0.004567 rounded to 2 decimal places is 0, but to 2 significant figures it is 0.0046. This calculator rounds by decimal places, a whole number, or a multiple; for significant figures, count the digits yourself and pick the matching number of decimal places.
Computers store decimals in binary, so 1.005 is actually held as a value very slightly below 1.005. A plain rounding routine then sees it as less than half and rounds down. This calculator trims that tiny storage error before rounding, so 1.005 to two decimal places gives 1.01, as you would expect when rounding by hand.