605.444445 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:
605 < 605.444445 < 606
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: (605 + 606) ÷ 2 = 605.5
Our number, 605.444445, is smaller than 605.5, so it is closer to the smaller neighbor: 605
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 5: 605.444445
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 4: 605.444445 ≈ 605 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:
605.444445 ≈ 605 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. 605.444445 is not halfway between its neighbors.
605.444445 ≈ 605
- 605.444445 ≈ - 605
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. 605.444445 is not halfway between its neighbors.
605.444445 ≈ 605
- 605.444445 ≈ - 605
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. 605.444445 is not halfway between its neighbors.
605.444445 ≈ 605
- 605.444445 ≈ - 605
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. 605.444445 is not halfway between its neighbors.
605.444445 ≈ 605
- 605.444445 ≈ - 605
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. 605.444445 is not halfway between its neighbors.
605.444445 ≈ 605
- 605.444445 ≈ - 605
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. 605.444445 is not halfway between its neighbors.
605.444445 ≈ 605
- 605.444445 ≈ - 605
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.
605.444445 ≈ 606
- 605.444445 ≈ - 605
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.
605.444445 ≈ 605
- 605.444445 ≈ - 606
rounded to the nearest one (1 whole place)
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