107: Round off the integer number to the nearest ten (2 whole places)

107 rounded to the nearest ten (2 whole places) = ?

How is the number rounded off? Half Up, Half Down, Half Away From Zero, Half Towards Zero, Half to Even, Half to Odd. To Ceiling, To Floor.

Rounding a number means replacing it with 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.

How is the number rounded off? Explanation.

Counting by tens (2 whole places at a time), our number is sitting on the axis of numbers between two consecutive neighboring numbers:
100 < 107 < 110


Our number is to be rounded off to one of these neighbors, the closer one.


The middle of this interval, the number that is equally close to the either neighbor, is: (100 + 110) ÷ 2 = 105


Our number, 107, is larger than 105, so it is closer to the larger neighbor: 110


Except for 'To Ceiling, To Floor', the rounded off number (both the positive and the negative) will be equal only to this larger neighbor.


Rule of thumb:

Rounding digit. Let's call the digit of the position place that is intended to round off to as the 'rounding digit'. The digit is 0: 107


In a positive number, if the digit to the right of the 'rounding digit' is larger than 5, then the number is rounded to the larger neighbor.

The digit is 7: 107 ≈ 110 rounded to the nearest ten (2 whole places).


Or, even simpler.
In any number rounded to whole places, if the digit to the right of the 'rounding digit' is 5 (but it is not the last non-zero digit to the right) or more than 5, ie. 6, 7, 8 or 9, then increase the 'rounding digit' by 1 and replace all the digits to the right of it with zeros:

107 ≈ 110 rounded to the nearest ten (2 whole places)


Below we round off both the positive and the negative:

Half Up, Half Down, Half Away From Zero, Half Towards Zero, Half to Even, Half to Odd. To Ceiling, To Floor.


Number Round Half Up:

Numbers that are halfway between two neighbors are rounded off to the larger neighbor. 107 is not halfway between its neighbors.


107 ≈ 110


- 107 ≈ - 110


rounded to the nearest ten (2 whole places)


Number Round Half Down:

Numbers that are halfway between two neighbors are rounded off to the smaller neighbor. 107 is not halfway between its neighbors.


107 ≈ 110


- 107 ≈ - 110


rounded to the nearest ten (2 whole places)


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. 107 is not halfway between its neighbors.


107 ≈ 110


- 107 ≈ - 110


rounded to the nearest ten (2 whole places)


Number Round Half Towards Zero:

Numbers that are halfway between two neighbors are rounded off to the neighbor which is closer towards zero. 107 is not halfway between its neighbors.


107 ≈ 110


- 107 ≈ - 110


rounded to the nearest ten (2 whole places)


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. 107 is not halfway between its neighbors.


107 ≈ 110


- 107 ≈ - 110


rounded to the nearest ten (2 whole places)


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. 107 is not halfway between its neighbors.


107 ≈ 110


- 107 ≈ - 110


rounded to the nearest ten (2 whole places)


Number Round Ceiling:

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


107 ≈ 110


- 107 ≈ - 100


rounded to the nearest ten (2 whole places)


Number Round Floor:

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


107 ≈ 100


- 107 ≈ - 110


rounded to the nearest ten (2 whole places)


More operations like this:

108: Round off the integer number to the nearest ten (2 whole places)


All 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

Round off to whole places or decimal places

The latest 13 operations with rounded off numbers:

Round off 107 to the nearest ten (2 whole places) Mar 29 05:46 UTC (GMT)
Round off 233.5687 to the nearest one (1 whole place) Mar 29 05:45 UTC (GMT)
Round off 1.25 to the nearest one (1 whole place) Mar 29 05:42 UTC (GMT)
Round off 0.394 to the nearest hundredth (2 decimal places) Mar 29 05:40 UTC (GMT)
Round off 45,525 to the nearest thousand (4 whole places) Mar 29 05:40 UTC (GMT)
Round off 23.57 to the nearest tenth (1 decimal place) Mar 29 05:40 UTC (GMT)
Round off 3.14159265372698 to the nearest ten (2 whole places) Mar 29 05:40 UTC (GMT)
Round off 681.5 to the nearest hundredth (2 decimal places) Mar 29 05:39 UTC (GMT)
Round off 0.0099 to the nearest tenth (1 decimal place) Mar 29 05:39 UTC (GMT)
Round off 2.06666667766978 to the nearest ten (2 whole places) Mar 29 05:39 UTC (GMT)
Round off 1.06798388679988 to the nearest ten (2 whole places) Mar 29 05:39 UTC (GMT)
Round off 4,535 to the nearest thousand (4 whole places) Mar 29 05:38 UTC (GMT)
Round off 10.327 to the nearest hundredth (2 decimal places) Mar 29 05:37 UTC (GMT)
All the operations with the numbers rounded off by users...

How to round off numbers?

1. Rounding off numbers: definition.

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

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

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

5. Special cases. Examples.