Rounding off Positive and Negative Numbers to Whole or Decimal Places, Online Calculator

Round off your number to whole places or decimal places

The decimal number: How many repeating decimal places?Either - Round off to whole places: Or - Round off to decimal places:

Numbers are rounded off: half up, half down, half away from zero, half towards zero, half to even, half to odd, to ceiling, to floor. Rounding off integers, terminating decimals, pure or mixed repeating (recurring) decimal numbers

The latest 13 operations with rounded numbers:

Round off 131.3 to the nearest tenth (1 decimal place)	Jun 07 13:44 UTC (GMT)
Round off 3.14159265387698 to the nearest tenth (1 decimal place)	Jun 07 13:44 UTC (GMT)
Round off 2,981.9286 to the nearest tenth (1 decimal place)	Jun 07 13:44 UTC (GMT)
Round off 5,815.576 to the nearest tenth (1 decimal place)	Jun 07 13:43 UTC (GMT)
Round off 0.088 to the nearest tenth (1 decimal place)	Jun 07 13:42 UTC (GMT)
Round off 89.4 to the nearest tenth (1 decimal place)	Jun 07 13:42 UTC (GMT)
Round off 2.71828188597818 to the nearest tenth (1 decimal place)	Jun 07 13:42 UTC (GMT)
Round off 1.06798388098986 to the nearest tenth (1 decimal place)	Jun 07 13:41 UTC (GMT)
Round off 230.2 to the nearest tenth (1 decimal place)	Jun 07 13:41 UTC (GMT)
Round off 103.2 to the nearest tenth (1 decimal place)	Jun 07 13:41 UTC (GMT)
Round off 0.05050507489916 to the nearest tenth (1 decimal place)	Jun 07 13:41 UTC (GMT)
Round off 33.111312 to the nearest tenth (1 decimal place)	Jun 07 13:41 UTC (GMT)
Round off 194.7 to the nearest tenth (1 decimal place)	Jun 07 13:41 UTC (GMT)
» Numbers rounded to whole and decimal places. Visitors performed calculations

How to round off numbers?

1. Rounding off numbers: definition.

Rounding a number means replacing it by another value that is a simpler, shorter approximation, while keeping its value close to the initial one. The rounded number will be less accurate, but easier to work with.

2. How to round off a number to whole places?

Identify the place value of the digit to be rounded - this is called the rounding digit.
Identify the next digit to the right of the rounding digit, if there is any:
- If there is no other digit to the right, then the number is not changing, it stays the same.
- Rounding down. If there is a digit to the right of the rounding digit and this digit is less than 5 (ie: 0 to 4), then leave the rounding digit as it is and replace all the digits to the right of it with zeros. This is called rounding down.
- Rounding up. If there is a digit to the right of the rounding digit and this digit is 5 or more (ie: 5 to 9), then increase the rounding digit by 1 and replace all the digits to the right of it with zeros. This is called rounding up.
>> See in the article how to round off numbers to whole places, plus examples

3. How to round off a number to decimal places?

Identify the place value of the digit to be rounded - this is called the rounding digit and it is the last digit to keep.
Identify the next digit to the right of the rounding digit, if there is any:
- If there is no other digit to the right, then the number is not changing, it stays the same.
- Rounding down. If there is a digit to the right of the rounding digit and this digit is less than 5 (ie: 0 to 4), then leave the rounding digit as it is and drop all the decimal digits to the right of it. This is called rounding down.
- Rounding up. If there is a digit to the right of the rounding digit and this digit is 5 or more (ie: 5 to 9), then increase the rounding digit by 1 and drop all the decimal digits to the right of it. This is called rounding up.
>> See in the article how to round off numbers to decimal places, plus examples

4. Mathematical explanation of the rules used in numbers rounding.

>> See in this article the mathematical explanation of the rules used in numbers rounding

5. Special cases. Examples.

The next digit to the right of the rounding digit is 5 and it is also the last non-zero digit in that number.
In these cases the numbers can either be rounded up or down, depending on the type of rounding, as shown below.
Types of rounding:
5.1. Number Round Half Up.
- Numbers that are halfway between two neighbors are rounded off to the bigger neighbor.
- >> See examples on numbers rounded half up
5.2. Number Round Half Down.
- Numbers that are halfway between two neighbors are rounded off to the smaller neighbor.
- >> See examples on numbers rounded half down
5.3. Number Round Half Away From Zero.
- Numbers that are halfway between two neighbors are rounded off to the neighbor which is farther away from zero.
- >> See examples on numbers rounded half away from zero
5.4. Number Round Half Towards Zero.
- Numbers that are halfway between two neighbors are rounded off to the neighbor which is closer towards zero.
- >> See examples on numbers rounded half towards zero
5.5. Number Round Half to Even (Gaussian Rounding or Banker's Rounding).
- Numbers that are halfway between two neighbors are rounded off to the neighbor with an even rounding digit.
- >> See examples on numbers rounded half to even (Gaussian rounding or Banker's rounding)
5.6. Number Round Half to Odd (Gaussian Rounding or Banker's Rounding).
- Numbers that are halfway between two neighbors are rounded off to the neighbor with an odd rounding digit.
- >> See examples on numbers rounded half to odd (Gaussian rounding or Banker's rounding)
5.7. Number Round Ceiling.
- All the numbers that are between two neighbors are always rounded off to the bigger neighbor.
- >> See examples on numbers rounded half to ceiling
5.8. Number Round Floor.
- All the numbers that are between two neighbors are always rounded off to the smaller neighbor.
- >> See examples on numbers rounded half to floor

Rounding off Positive and Negative Numbers to Whole or Decimal Places, Online Calculator

Round off your number to whole places or decimal places

The latest 13 operations with rounded numbers:

How to round off numbers?

1. Rounding off numbers: definition.

2. How to round off a number to whole places?

>> See in the article how to round off numbers to whole places, plus examples

3. How to round off a number to decimal places?

>> See in the article how to round off numbers to decimal places, plus examples

4. Mathematical explanation of the rules used in numbers rounding.

>> See in this article the mathematical explanation of the rules used in numbers rounding

5. Special cases. Examples.

5.1. Number Round Half Up.

>> See examples on numbers rounded half up

5.2. Number Round Half Down.

>> See examples on numbers rounded half down

5.3. Number Round Half Away From Zero.

>> See examples on numbers rounded half away from zero

5.4. Number Round Half Towards Zero.

>> See examples on numbers rounded half towards zero

5.5. Number Round Half to Even (Gaussian Rounding or Banker's Rounding).

>> See examples on numbers rounded half to even (Gaussian rounding or Banker's rounding)

5.6. Number Round Half to Odd (Gaussian Rounding or Banker's Rounding).

>> See examples on numbers rounded half to odd (Gaussian rounding or Banker's rounding)

5.7. Number Round Ceiling.

>> See examples on numbers rounded half to ceiling

5.8. Number Round Floor.

>> See examples on numbers rounded half to floor