```

////

## Number validations: floats, greater than and less than

Number validations also work for `float` values.

Here's where it becomes important to be able to declare <abbr title="greater than"><code>gt</code></abbr> and not just <abbr title="greater than or equal"><code>ge</code></abbr>. As with it you can require, for example, that a value must be greater than `0`, even if it is less than `1`.

Validações numéricas também funcionam para valores do tipo `float`.

Aqui é onde se torna importante a possibilidade de declarar <abbr title="greater than"><code>gt</code></abbr> e não apenas <abbr title="greater than or equal"><code>ge</code></abbr>. Com isso você pode especificar, por exemplo, que um valor deve ser maior que `0`, ainda que seja menor que `1`.

La même chose s'applique pour :

* `gt` : `g`reater `t`han
* `le` : `l`ess than or `e`qual

{* ../../docs_src/path_params_numeric_validations/tutorial005_an_py39.py hl[10] *}

## Validations numériques : flottants, supérieur et inférieur

Les validations numériques fonctionnent également pour les valeurs `float`.

```

## 숫자 검증: 부동소수, 크거나 및 작거나

숫자 검증은 `float` 값에도 동작합니다.

여기에서 <abbr title="greater than or equal"><code>ge</code></abbr>뿐만 아니라 <abbr title="greater than"><code>gt</code></abbr>를 선언 할 수있는 것이 중요해집니다. 예를 들어 필요한 경우, 값이 `1`보다 작더라도 반드시 `0`보다 커야합니다.

즉, `0.5`는 유효한 값입니다. 그러나 `0.0` 또는 `0`은 그렇지 않습니다.

<abbr title="less than"><code>lt</code></abbr> 역시 마찬가지입니다.

```Python hl_lines="11"

   * key of {@link #belowSamplesLesser()}.
   */
  Entry<K, V> belowSamplesGreater();

  /**
   * Returns an entry with a key greater than the keys of the {@link #samples()} but less than the
   * key of {@link #aboveSamplesGreater()}.
   */
  Entry<K, V> aboveSamplesLesser();

  /**

        {
            "detail": [
                {
                    "type": "greater_than",
                    "loc": ["body", "item", "price"],
                    "msg": "Input should be greater than 0",
                    "input": -3.0,
                    "ctx": {"gt": 0.0},
                }
            ]
        }
    ) | IsDict(
        # TODO: remove when deprecating Pydantic v1
        {

        {
            "detail": [
                {
                    "type": "greater_than",
                    "loc": ["body", "item", "price"],
                    "msg": "Input should be greater than 0",
                    "input": -3.0,
                    "ctx": {"gt": 0.0},
                }
            ]
        }
    ) | IsDict(
        # TODO: remove when deprecating Pydantic v1
        {

  /**
   * Returns an element less than the {@link #samples()} but greater than {@link
   * #belowSamplesLesser()}.
   */
  E belowSamplesGreater();

  /**
   * Returns an element greater than the {@link #samples()} but less than {@link
   * #aboveSamplesGreater()}.
   */
  E aboveSamplesLesser();

  /**
   * Returns an element greater than the {@link #samples()} and greater than {@link
   * #aboveSamplesLesser()}.
   */

  /**
   * Returns an element less than the {@link #samples()} but greater than {@link
   * #belowSamplesLesser()}.
   */
  E belowSamplesGreater();

  /**
   * Returns an element greater than the {@link #samples()} but less than {@link
   * #aboveSamplesGreater()}.
   */
  E aboveSamplesLesser();

  /**
   * Returns an element greater than the {@link #samples()} and greater than {@link
   * #aboveSamplesLesser()}.
   */

        {
            "detail": [
                {
                    "type": "greater_than",
                    "loc": ["body", 0, "age"],
                    "msg": "Input should be greater than 0",
                    "input": -1.0,
                    "ctx": {"gt": 0},
                }
            ]
        }
    ) | IsDict(
        # TODO: remove when deprecating Pydantic v1
        {