9,875: Round off the integer number to the nearest one (1 whole place)

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.

Note: An integer rounded to the nearest one (1 whole place) remains the same. There is no other digit to the right of the units place, based on which to round off the number.

Number rounded to the nearest one (1 whole place):

9,875 = 9,875

Counting by tens (2 whole places at a time), our number is sitting on the axis of numbers between two consecutive neighboring numbers:
9,870 < 9,875 < 9,880

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: (9,870 + 9,880) ÷ 2 = 9,875

Our number, 9,875, is equal to the middle of the interval, so it is equally close to the either neighbor. The number will be rounded either to 9,870 or to 9,880, depending on the type of rounding below.

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: 9,875

If the digit to the right of the 'rounding digit' is equal to 5 and it is the last non-zero digit to the right, then the number will be rounded either to the smaller or to the bigger neighbor, depending on the type of rounding.

The digit is 5: 9,875 ≈ 9,870 or 9,875 ≈ 9,880 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 and it is the last non-zero digit to the right, then either increase the 'rounding digit' by 1 or leave it unchanged, but don't forget to replace all the digits to the right of it with zeros:

9,875 ≈ 9,880 or 9,875 ≈ 9,870 rounded to the nearest ten (2 whole places).

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 bigger neighbor. 9,875 is halfway between its neighbors.

9,875 ≈ 9,880

- 9,875 ≈ - 9,870

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. 9,875 is halfway between its neighbors.

9,875 ≈ 9,870

- 9,875 ≈ - 9,880

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. 9,875 is halfway between its neighbors.

9,875 ≈ 9,880

- 9,875 ≈ - 9,880

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. 9,875 is halfway between its neighbors.

9,875 ≈ 9,870

- 9,875 ≈ - 9,870

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. 9,875 is halfway between its neighbors.

9,875 ≈ 9,880

- 9,875 ≈ - 9,880

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. 9,875 is halfway between its neighbors.

9,875 ≈ 9,870

- 9,875 ≈ - 9,870

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 bigger neighbor.

9,875 ≈ 9,880

- 9,875 ≈ - 9,870

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.

9,875 ≈ 9,870

- 9,875 ≈ - 9,880

rounded to the nearest ten (2 whole places)