# Path Parameters and Numeric Validations

In the same way that you can declare more validations and metadata for query parameters with `Query`, you can declare the same type of validations and metadata for path parameters with `Path`.

## Import Path

First, import `Path` from `fastapi`, and import `Annotated`:

=== "Python 3.10+"

    ```Python hl_lines="1  3"
    {!> ../../../docs_src/path_params_numeric_validations/tutorial001_an_py310.py!}
    ```

```

## Validações numéricas: maior que e menor que ou igual

O mesmo se aplica para:

* `gt`: maior que (`g`reater `t`han)
* `le`: menor que ou igual (`l`ess than or `e`qual)

```Python hl_lines="9"
{!../../../docs_src/path_params_numeric_validations/tutorial005.py!}
```

## Validações numéricas: valores do tipo float, maior que e menor que

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

LeeeeT <******@****.***> 1680341164 +0300

Sebastián Ramírez <******@****.***> 1652529599 -0500

SwftAlpc <******@****.***> 1705333592 +0900

Sebastián Ramírez <******@****.***> 1697522351 +0400

<thead>
<tr>
<th>Description</th>
<th class="numeric">Duration</th>
</tr>
</thead>
<tr>
<td>Total Build Time</td>
<td class="numeric">15m30.00s</td>
</tr>
<tr>
<td>Startup</td>
<td class="numeric">0.700s</td>
</tr>
<tr>
<td>Settings and buildSrc</td>
<td class="numeric">2.300s</td>
</tr>
<tr>
<td>Loading Projects</td>
<td class="numeric">3.000s</td>
</tr>
<tr>

package linalg

// Numeric is type bound that matches any numeric type.
// It would likely be in a constraints package in the standard library.
type Numeric interface {
	~int | ~int8 | ~int16 | ~int32 | ~int64 |
		~uint | ~uint8 | ~uint16 | ~uint32 | ~uint64 | ~uintptr |
		~float32 | ~float64 |
		~complex64 | ~complex128
}

func DotProduct[T Numeric](s1, s2 []T) T {
	if len(s1) != len(s2) {

package linalg

import "math"

// Numeric is type bound that matches any numeric type.
// It would likely be in a constraints package in the standard library.
type Numeric interface {
	~int|~int8|~int16|~int32|~int64|
		~uint|~uint8|~uint16|~uint32|~uint64|~uintptr|
		~float32|~float64|
		~complex64|~complex128
}

func DotProduct[T Numeric](s1, s2 []T) T {
	if len(s1) != len(s2) {

package linalg

import "math"

// Numeric is type bound that matches any numeric type.
// It would likely be in a constraints package in the standard library.
type Numeric interface {
	~int | ~int8 | ~int16 | ~int32 | ~int64 |
		uint | ~uint8 | ~uint16 | ~uint32 | ~uint64 | ~uintptr |
		float32 | ~float64 |
		complex64 | ~complex128
}

func DotProduct[T Numeric](s1, s2 []T) T {
	if len(s1) != len(s2) {