Rounding Calculator For Numbers, Decimals, & Fractions

Rounding Calculator

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:

Lets users round numbers to any place value
Automatically updates the result as you type or change inputs
Visually marks the digit being rounded and the one that affects it
Briefly explains why the number was rounded up or down
Works with whole numbers, rounding decimals, and fractions
Correctly applies rounding rules to negative values
Minimal design focused on speed and ease of use
Allows setting fixed decimal places or rounding modes

How to Use the Rounding Calculator?

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:

Whole number places: Millions, Thousands, Hundreds, Tens, Ones
Decimal places: Tenths, Hundredths, Thousandths, up to Hundred Quadrillionths
Fractions: Round to nearest 1/2, 1/4, 1/8, 1/16, 1/32, or 1/6

3. Click “Calculate”: Click the button to process your input. The round calculator will immediately display:

The rounded result
A detailed explanation showing how the number was rounded, highlighting the relevant digits and rounding rule applied

What Is Rounding?

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.

For example:

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

How to Round Numbers? (Rounding Rules Explained)


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

Rounding (Solved Examples):

Rounding Positive Numbers

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

Round to the Nearest Tenth

Given Number: 8.36

To round to nearest tenth, look at the digit in the hundredths place (6):

If it's less than 5, keep the tenths digit the same (round down).
If it's 5 or more, increase the tenths digit by one (round up).

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

Round to the Nearest Hundredth

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

Round to the Nearest Thousandth

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:

If the digit after the thousandth place is 5 or more, round up.
If it's less than 5, round down.

Since 9 is greater than 5, we round the 8 up to 9.

5.6789 → 5.679

Extended Rounding Place Value Table:

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

Does 7 Round Up or Down?

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.

Additional Studies:

From the source of Wikipedia: Rounding, Types of Rounding
From the source of splashlearn.com: Rounding Decimals, Nearest Whole

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Rounding Calculator