# numbers (PEP-3141)

Module numbers was introduced by PEP-3141 in Python 2.6. It implements the numbers hierarchy, inspired by Scheme:

```
Number :> Complex :> Real :> Rational :> Integral
```

They are ABC classes, so they can be used in `isinstance`

checks:

```
import numbers
isinstance(1, numbers.Integral)
# True
isinstance(1, numbers.Real)
# True
isinstance(1.1, numbers.Integral)
# False
```

`int`

is`Integral`

.- fractions.Fraction is
`Rational`

. `float`

is`Real`

.`complex`

is`Complex`

(wow!)- decimal.Decimal is
`Number`

.

In theory, `Decimal`

should be `Real`

but it's not because `Decimal`

doesn't interoperate with `float`

:

```
Decimal(1) + 1.1
# TypeError: unsupported operand type(s) for +: 'decimal.Decimal' and 'float'
```

The most fun thing about `numbers`

is that it's not supported by mypy.