# Python Number Data Types Tutorial

In this tutorial we learn integer, floating point, and complex numbers in Python, and how to convert between (cast) them.

We also cover common mathematical and trigonometric functions.

Here's a table of contents of what you'll learn in this lesson:

(*click on a link to skip to its section*)

- Number Data Types
- The int type
- The float type
- The complex type
- How to see which type() a number is
- How to convert (cast) a number type to another
- How to convert a number to int
- How to convert a number to float
- How to convert a number to complex
- List of common mathematical functions
- List of common trigonometric functions
- Summary

Let's jump right in.

## Number Data Types

Python supports three different numerical types.

**int**. An int is a positive or negative whole number with unlimited size.**float**. A float, or floating point number, is a number with decimal points.**complex**. A complex number is a number with imaginary parts.

## The int type

An **int** is a whole number. It can be positive or negative but it shouldn’t have a decimal point, if it does it will be treated as a float.

**Example:**int

` print(10)`

## The float type

A **float** in Python is a floating point number, that is to say it’s a number with a decimal point.

**Example:**float with decimal symbol

` print(3.14)`

A float can also be a scientific number with an e to indicate the power of 10.

**Example:**float with scientific notation

` print(-78e3)`

## The complex type

A **complex** number in Python is a float number and a square root of -1. The square root is represented as an imaginary number by the lowercase or uppercase letter J.

**Example:**complex

` print(619j)`

## How to see which type() a number is

If we want to see which type a number is, we pass the number to the built-in type() function.

**Example:**type() function

```
print( type(20) )
print( type(3.14) )
print( type(-78e3) )
print( type(619j) )
```

In the example above we check the type of an int, two floats and a complex number.

**Output:**type() function

```
<class 'int'>
<class 'float'>
<class 'float'>
<class 'complex'>
```

The output shows us that the numbers belong to one of the numeric data types, int, float and complex.

## How to convert a number type to another number type

In most cases Python will convert numbers internally, but sometimes we may want to convert one type of number explicitly to another. To do this we use specific conversion functions.

##### How to convert a number to int

To convert a number to an int we use the int() function.

**Example:**convert a number to an int

` print( int(3.14) )`

Note in the output that when the conversion happened it simply cut away everything after the decimal point.

##### How to convert a number to float

To convert a number to a float we use the float() function.

**Example:**convert a number to a float

` print( float(10) )`

##### How to convert a number to complex

To convert a number to a complex number we use the complex() function with one or two parameters.

**Example:**convert a number to a complex, imaginary part specified

` print( complex(10) )`

In the example above we used only one number. It will use the 10 as the float part of the complex number and the imaginary part will be 0.

**Example:**int

` print( complex(10, 5) )`

In the example above we used two numbers separated by a comma. It will convert the **10** as the float part of the complex number and use the **5** as the imaginary part of the complex number.

## List of common mathematical functions

The following table lists some of the commonly used math functions:

Function | Description | Example | Returns |
---|---|---|---|

abs(x) | Positive (absolute) value integer | abs(-10) | 10 |

ceil(x) | Round to closest integer top | ceil(3.14) | 4 |

exp(x) | Exponential of x | exp(1.5) | 4.481 |

fabs(x) | Positive (absolute) value float | fabs(-10) | 10.0 |

floor(x) | Round to closest integer bottom | floor(3.14) | 3 |

pow(x, y) | Power of. x**y | pow(2, 2) | 4 |

round(x) | Round to closest top or bottom | round(3.14) | 3 |

sqrt(x) | Square root of x | sqrt(5) | 2.236 |

max(x, y, ...) | Largest number of the set | max(1, 3, 5) | 5 |

min(x, y, ...) | Smallest number of the set | min(1, 3, 5) | 1 |

## List of common trigonometric functions

The following table lists some of the commonly used trigonometric functions:

Function | Description |
---|---|

acos(x) | Return the arc cosine of x, in radians. |

asin(x) | Return the arc sine of x, in radians. |

atan(x) | Return the arc tangent of x, in radians. |

cos(x) | Return the cosine of x radians. |

sin(x) | Return the sine of x radians. |

tan(x) | Return the tangent of x radians. |

degrees(x) | Converts angle x from radians to degrees. |

radians(x) | Converts angle x from degrees to radians. |

### Summary: Points to remember

- An
**int**is a positive or negative whole number. - A
**float**is a number with a fractional part in which the fractional component is denoted by a decimal symbol or scientific notation. - A
**complex**is a number with real and imaginary parts. - We can check the type of number by passing it to the built-in
**type()**function. - We can convert one number type to another by using the
**int()**,**float()**or**complex()**functions.