7.307563177637: Round off the (terminating) decimal number to the nearest one (1 whole place)

7.307563177637 rounded to the nearest one (1 whole place) = ?

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 units (1 whole place at a time), our number is sitting on the axis of numbers between two consecutive neighboring numbers:
7 < 7.307563177637 < 8


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: (7 + 8) ÷ 2 = 7.5


Our number, 7.307563177637, is smaller than 7.5, so it is closer to the smaller neighbor: 7


Except for 'To Ceiling, To Floor', the rounded off number (both the positive and the negative) will be equal only to this smaller 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 7: 7.307563177637

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

The digit is 3: 7.307563177637 ≈ 7 rounded to the nearest one (1 whole place).


Or, even simpler.
In any number rounded to whole places, if the digit to the right of the 'rounding digit' is less than 5 (0 to 4), then leave the 'rounding digit' as it is and replace all the digits to the right of it with zeros:

7.307563177637 ≈ 7 rounded to the nearest one (1 whole place)


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. 7.307563177637 is not halfway between its neighbors.


7.307563177637 ≈ 7


- 7.307563177637 ≈ - 7


rounded to the nearest one (1 whole place)


Number Round Half Down:

Numbers that are halfway between two neighbors are rounded off to the smaller neighbor. 7.307563177637 is not halfway between its neighbors.


7.307563177637 ≈ 7


- 7.307563177637 ≈ - 7


rounded to the nearest one (1 whole place)


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. 7.307563177637 is not halfway between its neighbors.


7.307563177637 ≈ 7


- 7.307563177637 ≈ - 7


rounded to the nearest one (1 whole place)


Number Round Half Towards Zero:

Numbers that are halfway between two neighbors are rounded off to the neighbor which is closer towards zero. 7.307563177637 is not halfway between its neighbors.


7.307563177637 ≈ 7


- 7.307563177637 ≈ - 7


rounded to the nearest one (1 whole place)


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. 7.307563177637 is not halfway between its neighbors.


7.307563177637 ≈ 7


- 7.307563177637 ≈ - 7


rounded to the nearest one (1 whole place)


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. 7.307563177637 is not halfway between its neighbors.


7.307563177637 ≈ 7


- 7.307563177637 ≈ - 7


rounded to the nearest one (1 whole place)


Number Round Ceiling:

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


7.307563177637 ≈ 8


- 7.307563177637 ≈ - 7


rounded to the nearest one (1 whole place)


Number Round Floor:

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


7.307563177637 ≈ 7


- 7.307563177637 ≈ - 8


rounded to the nearest one (1 whole place)


More operations like this:

Round off the number 7.307563177638. Round off the (terminating) decimal number to the nearest one (1 whole place)


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 7.307563177637 to the nearest one (1 whole place) Jul 23 12:23 UTC (GMT)
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Round off 4,308.33333333333335 to the nearest one (1 whole place) Jul 23 12:23 UTC (GMT)
Round off 633.333333333337 to the nearest tenth (1 decimal place) Jul 23 12:23 UTC (GMT)
Round off 132.2 to the nearest tenth (1 decimal place) Jul 23 12:23 UTC (GMT)
Round off 3.14719 to the nearest ten (2 whole places) Jul 23 12:23 UTC (GMT)
Round off 400,416 to the nearest thousand (4 whole places) Jul 23 12:22 UTC (GMT)
Round off 1.2632667 to the nearest tenth (1 decimal place) Jul 23 12:22 UTC (GMT)
Round off 0.490869089 to the nearest tenth (1 decimal place) Jul 23 12:22 UTC (GMT)
Round off 0.072543927 to the nearest one (1 whole place) Jul 23 12:22 UTC (GMT)
Round off 2.06666669679966 to the nearest ten (2 whole places) Jul 23 12:22 UTC (GMT)
Round off 620.666666669 to the nearest hundredth (2 decimal places) Jul 23 12:22 UTC (GMT)
Round off 124,971 to the nearest hundred (3 whole places) Jul 23 12:22 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.