2,225: Round off the integer number to the nearest thousand (4 whole places)

2,225 rounded to the nearest thousand (4 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.

Counting by thousands (4 whole places at a time), our number is sitting on the axis of numbers between two consecutive neighboring numbers:
2,000 < 2,225 < 3,000


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: (2,000 + 3,000) ÷ 2 = 2,500


Our number, 2,225, is smaller than 2,500, so it is closer to the smaller neighbor: 2,000


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 2: 2,225

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 2: 2,225 ≈ 2,000 rounded to the nearest thousand (4 whole places).


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:

2,225 ≈ 2,000 rounded to the nearest thousand (4 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. 2,225 is not halfway between its neighbors.


2,225 ≈ 2,000


- 2,225 ≈ - 2,000


rounded to the nearest thousand (4 whole places)


Number Round Half Down:

Numbers that are halfway between two neighbors are rounded off to the smaller neighbor. 2,225 is not halfway between its neighbors.


2,225 ≈ 2,000


- 2,225 ≈ - 2,000


rounded to the nearest thousand (4 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. 2,225 is not halfway between its neighbors.


2,225 ≈ 2,000


- 2,225 ≈ - 2,000


rounded to the nearest thousand (4 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. 2,225 is not halfway between its neighbors.


2,225 ≈ 2,000


- 2,225 ≈ - 2,000


rounded to the nearest thousand (4 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. 2,225 is not halfway between its neighbors.


2,225 ≈ 2,000


- 2,225 ≈ - 2,000


rounded to the nearest thousand (4 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. 2,225 is not halfway between its neighbors.


2,225 ≈ 2,000


- 2,225 ≈ - 2,000


rounded to the nearest thousand (4 whole places)


Number Round Ceiling:

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


2,225 ≈ 3,000


- 2,225 ≈ - 2,000


rounded to the nearest thousand (4 whole places)


Number Round Floor:

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


2,225 ≈ 2,000


- 2,225 ≈ - 3,000


rounded to the nearest thousand (4 whole places)


More operations like this:

2,226: Round off the integer number to the nearest thousand (4 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 2,225 to the nearest thousand (4 whole places) Jan 21 14:40 UTC (GMT)
Round off 0.01010107254521 to the nearest billiardth (12 decimal places) Jan 21 14:40 UTC (GMT)
Round off 0.01010107254521 to the nearest billiardth (12 decimal places) Jan 21 14:40 UTC (GMT)
Round off 0.01010105046471 to the nearest billiardth (12 decimal places) Jan 21 14:40 UTC (GMT)
Round off 21,880 to the nearest hundred thousand (6 whole places) Jan 21 14:40 UTC (GMT)
Round off 0.01010105511178 to the nearest hundred billionth (11 decimal places) Jan 21 14:40 UTC (GMT)
Round off 0.01010105511178 to the nearest hundred billionth (11 decimal places) Jan 21 14:40 UTC (GMT)
Round off 6.36363637696697 to the nearest ten thousandth (4 decimal places) Jan 21 14:40 UTC (GMT)
Round off 0.01010107633558 to the nearest billiardth (12 decimal places) Jan 21 14:40 UTC (GMT)
Round off 0.01010107510414 to the nearest billiardth (12 decimal places) Jan 21 14:40 UTC (GMT)
Round off 0.01010109150679 to the nearest hundred billionth (11 decimal places) Jan 21 14:40 UTC (GMT)
Round off 0.01010106045561 to the nearest billiardth (12 decimal places) Jan 21 14:40 UTC (GMT)
Round off 0.01010109151158 to the nearest hundred billionth (11 decimal places) Jan 21 14:40 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.