The result of an approximation by rounding.

The rounded value of a number is an approximate value of this number obtained from its decimal expansion, and reducing the number of significant digits.

Therefore, a rounded number produces a result that is less precise but easier to use in some calculations or estimations.

### Example

The number 156 can be rounded to the nearest ten at 160, because 156 is closer to 160 than to 150.

### Educational Note

When rounding a number, in a given context or following a calculation, the vocabulary to use can become a source of confusion for students. This table should help clarify this issue by presenting the different terms used.

Term used |
Notation(if it exists) |
Associatedfunction |
Example |

Value rounded to an order of magnitude | n/a | n/a | The value of 45.09 rounded to the nearest tenth is 45.1. |

Value rounded down | ⌊x] |
Function of the whole part |
The number of teams of 5 players that we can form with 14 available candidates is 2, because 2 is the greatest whole number that is less than or equal to 14 ÷ 5 = 2.8. |

Value rounded up | ⌊x] |
Function of the least whole number that is greater than or equal to | The tickets for a draw are being sold in blocks of 10 tickets so we must buy 5 blocks to accommodate 42 interested people, because 5 is the least whole number that is greater than or equal to 42, since: 42 ÷ 10 = 4.2. |

Whole part | [x] |
Function of the whole part | The whole part of the decimal number 27.686 is 27. |

Nearest whole value | n/a | n/a | The nearest whole value to 67.408 is 67. The nearest whole value to 67.601 is 68. |