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

The latest rounded off numbers

 Round off 488 to the nearest ten (2 whole places) Jan 20 06:08 UTC (GMT) Round off 1.5 to the nearest one (1 whole place) Jan 20 06:06 UTC (GMT) Round off 0.36 to the nearest tenth (1 decimal place) Jan 20 05:48 UTC (GMT) Round off 0.26666667 to the nearest one (1 whole place) Jan 20 05:27 UTC (GMT) Round off 0.346 to the nearest tenth (1 decimal place) Jan 20 05:26 UTC (GMT) Round off 0.26666668 to the nearest one (1 whole place) Jan 20 05:26 UTC (GMT) Round off 115 to the nearest ten (2 whole places) Jan 20 05:17 UTC (GMT) Round off 0.099 to the nearest hundredth (2 decimal places) Jan 20 05:16 UTC (GMT) Round off 2.758 to the nearest hundredth (2 decimal places) Jan 20 05:13 UTC (GMT) Round off 0.095 to the nearest hundredth (2 decimal places) Jan 20 05:11 UTC (GMT) Round off 410 to the nearest hundred (3 whole places) Jan 20 05:09 UTC (GMT) Round off 51 to the nearest hundred (3 whole places) Jan 20 05:07 UTC (GMT) Round off 11.16 to the nearest tenth (1 decimal place) Jan 20 05:06 UTC (GMT) All the numbers rounded off by users

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.

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.

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 larger neighbor.

• 5.2. Number Round Half Down.

• Numbers that are halfway between two neighbors are rounded off to the smaller neighbor.

• 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.

• 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.

• 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.

• 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.

• 5.7. Number Round Ceiling.

• All the numbers that are between two neighbors are always rounded off to the larger neighbor.

• 5.8. Number Round Floor.

• All the numbers that are between two neighbors are always rounded off to the smaller neighbor.