48.11111177272342: Round off the mixed repeating (recurring) decimal number to the nearest ten (2 whole places)

48.11111177272342 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.

A repeating decimal has a number of decimals that repeat over and over again, infinitely: 48.11111177272342 ≈ 48.1111117727234277272342...


Counting by tens (2 whole places at a time), our number is sitting on the axis of numbers between two consecutive neighboring numbers:
40 < 48.11111177272342 < 50


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: (40 + 50) ÷ 2 = 45


Our number, 48.11111177272342 ≈ 48.1111117727234277272342..., is larger than 45, so it is closer to the larger neighbor: 50


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 4: 48.1111117727234277272342...


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 8: 48.1111117727234277272342... ≈ 50 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:

48.1111117727234277272342... ≈ 50 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. 48.11111177272342 is not halfway between its neighbors.


48.11111177272342 ≈ 50


- 48.11111177272342 ≈ - 50


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. 48.11111177272342 is not halfway between its neighbors.


48.11111177272342 ≈ 50


- 48.11111177272342 ≈ - 50


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. 48.11111177272342 is not halfway between its neighbors.


48.11111177272342 ≈ 50


- 48.11111177272342 ≈ - 50


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. 48.11111177272342 is not halfway between its neighbors.


48.11111177272342 ≈ 50


- 48.11111177272342 ≈ - 50


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. 48.11111177272342 is not halfway between its neighbors.


48.11111177272342 ≈ 50


- 48.11111177272342 ≈ - 50


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. 48.11111177272342 is not halfway between its neighbors.


48.11111177272342 ≈ 50


- 48.11111177272342 ≈ - 50


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.


48.11111177272342 ≈ 50


- 48.11111177272342 ≈ - 40


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.


48.11111177272342 ≈ 40


- 48.11111177272342 ≈ - 50


rounded to the nearest ten (2 whole places)


More operations like this:

48.11111177272343: Round off the mixed repeating (recurring) decimal 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 48.11111177272342 to the nearest ten (2 whole places) Feb 12 20:02 UTC (GMT)
Round off 47.82654329887948 to the nearest tenth (1 decimal place) Feb 12 20:02 UTC (GMT)
Round off 6.36363638365686 to the nearest ten billiardth (13 decimal places) Feb 12 20:02 UTC (GMT)
Round off 0.0101010561145 to the nearest hundred billionth (11 decimal places) Feb 12 20:02 UTC (GMT)
Round off 0.01010109061742 to the nearest billiardth (12 decimal places) Feb 12 20:02 UTC (GMT)
Round off 6.36363638763847 to the nearest hundredth (2 decimal places) Feb 12 20:02 UTC (GMT)
Round off 45,678,915.3333333333334 to the nearest hundred million (9 whole places) Feb 12 20:02 UTC (GMT)
Round off 3,879 to the nearest ten thousand (5 whole places) Feb 12 20:02 UTC (GMT)
Round off 27.141451818 to the nearest hundred (3 whole places) Feb 12 20:02 UTC (GMT)
Round off 0.01010106619299 to the nearest hundred billionth (11 decimal places) Feb 12 20:02 UTC (GMT)
Round off 0.01010107713905 to the nearest billiardth (12 decimal places) Feb 12 20:02 UTC (GMT)
Round off 0.02020209025282 to the nearest tenth (1 decimal place) Feb 12 20:02 UTC (GMT)
Round off 0.01010973015829 to the nearest billiardth (12 decimal places) Feb 12 20:02 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.