Enter a number & select the place value. The given tool will round it to the nearest specified place, whether it's a whole number, tenth, hundredth, or beyond, based on standard rounding rules.
Our calculator rounds off any whole number, decimal, or fraction to a chosen level of precision. It supports rounding to standard decimal places (from millions to hundred quadrillionths) as well as to common fractional units (like 1/2, 1/4, up to 1/64).
Additionally, the round calculator exhibits the following features:
Using our rounding numbers calculator is simple. Follow these steps to get accurate and explained rounding results:
1. Enter the Number: Start by typing the number you want to round. This can be a whole number, a decimal, or a fraction.
2. Select the Place Value: Choose the place value you want to round up to. The calculator supports a wide range of place values, including:
3. Click “Calculate”: Click the button to process your input. The round calculator will immediately display:
Rounding means adjusting a number to the nearest whole number, tenth, hundredth, or other place value, depending on the required level of precision. It is a process of simplifying a number while keeping its value close to the original.
If you round 4.76 to the nearest tenth, you look at the hundredths digit (6). Since 6 is 5 or more, round the tenths digit up.
→ 4.76 becomes 4.8
Rounding Type | What It Means | Example (Positive Numbers) | Example (Negative Numbers) |
---|---|---|---|
Up | Always round away from zero. Go to the next bigger number, even if it's small. | 3.2 → 4, 3.6 → 4 | -3.2 → -4, -3.6 → -4 |
Down | Always round toward zero. Just drop the decimal part. | 3.2 → 3, 3.6 → 3 | -3.2 → -3, -3.6 → -3 |
Ceil | Always round up to the next whole number. | 3.2 → 4, 3.6 → 4 | -3.2 → -3, -3.6 → -3 |
Floor | Always round down to the lower whole number. | 3.2 → 3, 3.6 → 3 | -3.2 → -4, -3.6 → -4 |
Half Up | Round to the nearest whole number. If it ends in .5, go up. | 2.5 → 3, 3.5 → 4 | -2.5 → -3, -3.5 → -4 |
Half Down | Round to the nearest whole number. If it ends in .5, go down. | 2.5 → 2, 3.5 → 3 | -2.5 → -2, -3.5 → -3 |
Half Even | Round to the nearest number. If it ends in .5, go to the nearest even number. | 2.5 → 2, 3.5 → 4 | -2.5 → -2, -3.5 → -4 |
Half Ceil | Round to the nearest number. If it ends in .5, go up to the bigger number. | 2.5 → 3, 3.5 → 4 | -2.5 → -2, -3.5 → -3 |
Half Floor | Round to the nearest number. If it ends in .5, go down to the smaller number. | 2.5 → 2, 3.5 → 3 | -2.5 → -3, -3.5 → -4 |
Given Number: 4.6
The preceding and succeeding numbers of 4.6 are 4 and 5, respectively. Now, if the given number is less than halfway (4.5), we round it to the preceding number. If it is more than halfway (4.5), we round up to the next digit.
4.6 → 5
Given Number: 8.36
To round to nearest tenth, look at the digit in the hundredths place (6):
Since 6 is greater than 5, we round up. The tenths digit (3) becomes 4, and the digits after are dropped.
8.36 → 8.4
Given Number: 5.678
In the number 5.678, the hundredths digit is 7 (this is the second digit after the decimal point).
The next digit is 8, which is in the thousandths place.
If the digit after the hundredths place (in this case, 8) is 5 or higher, we round the hundredths digit up by one.
So, 7 becomes 8.
At last, drop all digits after the hundredths place.
5.678 → 5.68
Given Number: 5.6789
To round to the nearest thousandth, identify the thousandths place, which is the third digit after the decimal point.
In 5.6789:
The digit in the thousandths place is 8.
The digit after that (in the ten-thousandths place) is 9.
Now apply the rounding rule:
Since 9 is greater than 5, we round the 8 up to 9.
5.6789 → 5.679
Rounding Figure | Position | Corresponding Number |
---|---|---|
Millions | -6 | 1,000,000 |
Hundred Thousands | -5 | 100,000 |
Ten Thousands | -4 | 10,000 |
Thousands | -3 | 1,000 |
Hundreds | -2 | 100 |
Tens | -1 | 10 |
Ones | 0 | 1 |
Tenths | +1 | 0.1 |
Hundredths | +2 | 0.01 |
Thousandths | +3 | 0.001 |
Ten Thousandths | +4 | 0.0001 |
Hundred Thousandths | +5 | 0.00001 |
Millionths | +6 | 0.000001 |
Ten Millionths | +7 | 0.0000001 |
Hundred Millionths | +8 | 0.00000001 |
Billionths | +9 | 0.000000001 |
Ten Billionths | +10 | 0.0000000001 |
Hundred Billionths | +11 | 0.00000000001 |
Trillionths | +12 | 0.000000000001 |
Ten Trillionths | +13 | 0.0000000000001 |
Hundred Trillionths | +14 | 0.00000000000001 |
Quadrillionths | +15 | 0.000000000000001 |
Ten Quadrillionths | +16 | 0.0000000000000001 |
Hundred Quadrillionths | +17 | 0.00000000000000001 |
Fraction (1/2) | — | 0.5 |
Fraction (1/4) | — | 0.25 |
Fraction (1/8) | — | 0.125 |
Fraction (1/16) | — | 0.0625 |
Fraction (1/32) | — | 0.03125 |
Fraction (1/64) | — | 0.015625 |
When we are rounding 7, then it is rounded up as it is close to 10. You may find it quite easy to round off a number by the decimal rounding calculator.
From the source of Wikipedia: Rounding, Types of Rounding
From the source of splashlearn.com: Rounding Decimals, Nearest Whole
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