9,435: 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):

9,435 = 9,435

Counting by tens (2 whole places at a time), our number is sitting on the axis of numbers between two consecutive neighboring numbers:
9,430 < 9,435 < 9,440

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: (9,430 + 9,440) ÷ 2 = 9,435

Our number, 9,435, is equal to the middle of the interval, so it is equally close to the either neighbor. The number will be rounded either to 9,430 or to 9,440, 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 3: 9,435

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: 9,435 ≈ 9,430 or 9,435 ≈ 9,440 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:

9,435 ≈ 9,440 or 9,435 ≈ 9,430 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. 9,435 is halfway between its neighbors.

9,435 ≈ 9,440

- 9,435 ≈ - 9,430

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. 9,435 is halfway between its neighbors.

9,435 ≈ 9,430

- 9,435 ≈ - 9,440

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. 9,435 is halfway between its neighbors.

9,435 ≈ 9,440

- 9,435 ≈ - 9,440

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. 9,435 is halfway between its neighbors.

9,435 ≈ 9,430

- 9,435 ≈ - 9,430

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. 9,435 is halfway between its neighbors.

9,435 ≈ 9,440

- 9,435 ≈ - 9,440

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. 9,435 is halfway between its neighbors.

9,435 ≈ 9,430

- 9,435 ≈ - 9,430

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.

9,435 ≈ 9,440

- 9,435 ≈ - 9,430

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.

9,435 ≈ 9,430

- 9,435 ≈ - 9,440

rounded to the nearest ten (2 whole places)