# 4.7 `math` Module Functions¶

- The `math` module defines functions for performing various common mathematical calculations.

In [1]:

    import math

In [2]:

    math.sqrt(900)

Out[2]:

    30.0

In [3]:

    math.fabs(-10)

Out[3]:

    10.0

- Some `math` module functions are summarized below
- View the complete list

Function | Description | Example
--- | --- | ---
`ceil(`x`)` | Rounds x to the smallest integer not less than x | `ceil(9.2) is 10.0`, `ceil(-9.8) is -9.0`
`floor(`x`)` | Rounds x to the largest integer not greater than x | `floor(9.2) is 9.0`, `floor(-9.8) is -10.0`
`sin(`x`)` | Trigonometric sine of x (x in radians) | `sin(0.0) is 0.0`
`cos(`x`)` | Trigonometric cosine of x (x in radians) | `cos(0.0) is 1.0`
`tan(`x`)` | Trigonometric tangent of x (x in radians) | `tan(0.0) is 0.0`
`exp(`x`)` | Exponential function ex | `exp(1.0) is 2.718282`, `exp(2.0) is 7.389056`
`log(`x`)` | Natural logarithm of x (base e) | `log(2.718282) is 1.0`, `log(7.389056) is 2.0`
`log10(`x`)` | Logarithm of x (base 10) | `log10(10.0) is 1.0`, `log10(100.0) is 2.0`
`pow(`x, y`)` | x raised to power y (xy) | `pow(2.0, 7.0) is 128.0`, `pow(9.0, .5) is 3.0`
`sqrt(`x`)` | square root of x | `sqrt(900.0) is 30.0`, `sqrt(9.0) is 3.0`
`fabs(`x`)` | Absolute value of x—always returns a float. Python also has the built-in function `abs`, which returns an `int` or a `float`, based on its argument. | `fabs(5.1) is 5.1`, `fabs(-5.1) is 5.1`
`fmod(`x, y`)` | Remainder of x/y as a floating-point number | `fmod(9.8, 4.0) is 1.8`

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