{"id":67098,"date":"2022-07-04T08:48:56","date_gmt":"2022-07-04T08:48:56","guid":{"rendered":"https:\/\/itsourcecode.com\/?p=67098"},"modified":"2023-11-23T03:07:35","modified_gmt":"2023-11-23T03:07:35","slug":"python-numbers-with-examples","status":"publish","type":"post","link":"https:\/\/itsourcecode.com\/python-tutorial\/python-numbers-with-examples\/","title":{"rendered":"Python Numbers Types with Examples"},"content":{"rendered":"\n

What is Python Numbers?<\/strong><\/h2>\n\n\n\n

The Python Numbers<\/strong> data types store numeric values. <\/p>\n\n\n\n

<\/p>\n\n\n\n

Since they are immutable, changing the value of a number data type results in a freshly allocated object.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Python <\/strong>Number objects are produced when a value is assigned to them.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Python <\/strong>supports three types of numbers: complex numbers, integers, and floating point numbers (decimals).<\/p>\n\n\n\n

<\/p>\n\n\n\n

Every number in Python<\/strong> is an object of the first class<\/strong>. It implies that each numeric data type is implemented via a class definition. <\/p>\n\n\n\n

<\/p>\n\n\n\n

For instance, Python programming defines entire numbers as integers. <\/p>\n\n\n\n

<\/p>\n\n\n\n

The number’s data type can be confirmed as follows.<\/p>\n\n\n\n

num1 = 1234\nnum2 = 12.34\nprint(type(num1))\nprint(type(num2))<\/code><\/pre>\n\n\n\n
<\/p>\n\n\n\n
Using the type()<\/mark><\/code> method, we may determine the data type of a number or the class to which a number belongs.<\/p>\n\n\n\n
<\/p>\n\n\n\n
Output:<\/strong><\/p>\n\n\n\n
<class 'int'>\n<class 'float'><\/code><\/pre>\n\n\n\n
<\/p>\n\n\n\n
The first number is an integer<\/strong>, thus the returned data type is class 'int'<\/mark><\/code>. <\/p>\n\n\n\n
<\/p>\n\n\n\n
The second number is a decimal<\/strong>, therefore the returned data type is class 'float'<\/mark><\/code>.<\/p>\n\n\n\n
<\/p>\n\n\n\n
Now, we will examine each native Python number data type individually<\/strong>.<\/p>\n\n\n\n
<\/p>\n\n\n\n
Number Data Types in Python<\/strong><\/h2>\n\n\n\n
There are three number data types in Python<\/strong>:<\/p>\n\n\n\n
    \n
  1. Integer<\/strong><\/li>\n\n\n\n
  2. Float<\/strong><\/li>\n\n\n\n
  3. Complex<\/strong><\/li>\n<\/ol>\n\n\n\n
    1. Integer Data Type in Python<\/strong><\/h3>\n\n\n\n
    Python’s Integer Data Types<\/strong> represent whole numbers like 0<\/mark><\/code> and negative integers like -1<\/mark><\/code>. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Defining an integer variable is as simple as assigning it a number.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    var1 = 751\nvar2 = -8712\nprint (var1)\nprint (\"The var1 data type is {}\".format(type(var1)))\nprint (var2)\nprint (\"The var2 data type is {}\".format(type(var2)))<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    751\nThe var1 data type is <class 'int'>\n-8712\nThe var2 data type is <class 'int'><\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Integer data types in Python<\/strong> do not have a maximum value, unlike other computer languages. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    You can define a number of any size you choose, but the size is limited by the capabilities of your computer. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    For example, here we have built a number that contains 90 digits.<\/p>\n\n\n\n
    # 90 digit integer\nvar1 = 963021548778451203698745632103698521478521548915820542014778621036985102587695184747474714\nprint (\"Here is the 99 digit integer with {} type\".format(type(var1)))\nprint (var1)<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    Here is the 99 digit integer with <class 'int'> type\n963021548778451203698745632103698521478521548915820542014778621036985102587695184747474714<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Additionally, Python offers integer data types for various number systems, such as binary, octal, and hexadecimal<\/strong>.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    We can represent binary numbers in Python by prefixing the number with 0b<\/mark><\/code>, as in 0b1110<\/mark><\/code>, hexadecimal numbers by prefixing the number with 0x<\/mark><\/code>, as in 0x1117<\/mark><\/code>, and octal numbers by prefixing the number with 0o<\/mark><\/code>, as in 0o1117<\/mark><\/code>.<\/p>\n\n\n\n
    var1 = 1117\nvar2 = 0x1117\nvar3 = 0o1117\nvar4 = 0b1110\n\nprint(\"Data Type of 1117 is {}\".format(type(var1)))\nprint(\"Data Type of 0x1117 is {}\".format(type(var2)))\nprint(\"Data Type of 0o1117 is {}\".format(type(var3)))\nprint(\"Data Type of 0b1110 is {}\".format(type(var4)))<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    Data Type of 1117 is <class 'int'>\nData Type of 0x1117 is <class 'int'>\nData Type of 0o1117 is <class 'int'>\nData Type of 0b1110 is <class 'int'><\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    You may note that the data type of every number, regardless of the number system, is int. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Each binary, octal, and hexadecimal number is an instance of the int<\/mark><\/code> class.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    2. Float Data Type in Python<\/strong><\/h3>\n\n\n\n
    Float Data Types in Python<\/strong> is also known as floating-point number<\/strong>. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Python employs double-precision floating-point numbers to represent decimal or real numbers.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    A number with floating-point precision may be positive, negative, or zero.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Floating-point numbers contain one or more digits after the decimal point, much like decimal numbers.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    var1 = 123.14\nprint (var1)\nprint (\"The var1 data type is {}\".format(type(var1)))<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    123.14\nThe var1 data type is <class 'float'><\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Floats also representing real numbers, are represented with a decimal point separating the integer and fractional components.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Floats may alternatively be expressed in scientific notation, where E or <\/mark>e<\/mark><\/code> represents the power of 10 (2.5e2 = 2.5 x 102 = 250)<\/mark><\/code>.<\/p>\n\n\n\n
    var1 = 35e3\nvar2 = 12E4\nvar3 = -87.7e100\n\nprint(type(var1))\nprint(type(var2))\nprint(type(var3))<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    <class 'float'>\n<class 'float'>\n<class 'float'><\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    3. Complex Numbers in Python<\/strong><\/h3>\n\n\n\n
    The complex numbers data type is also supported by Python. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    In Python, a complex number is represented as a + i b, where a and b are numeric values representing the real and imaginary parts of the complex number, respectively.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Any English letter may be substituted for the letter i.<\/p>\n\n\n\n
    var1 = 6+5j\nvar2 = 9j\nvar3 = -7j\n\nprint(type(var1))\nprint(type(var2))\nprint(type(var3))<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    <class 'complex'>\n<class 'complex'>\n<class 'complex'><\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    As seen in the above example, the returned data type is “complex<\/strong>“.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Using the complex()<\/mark><\/code> <\/strong>function is another method for defining complex numbers. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    The complex()<\/mark><\/code> <\/strong>function receives the real and imaginary components of the needed complex number and returns a complex number.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    The actual component will be passed as the first argument, while the imaginary part will be passed as the second parameter. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Additionally, the real part is required while the imaginary part is optional.<\/p>\n\n\n\n
    var1= complex(3,2)\nprint(var1,type(var1))<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    (3+2j) <class 'complex'><\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    The \"real\"<\/mark><\/code> and \"imag\"<\/mark><\/code> characteristics of a complex number provide access to the real and imaginary components, respectively.<\/p>\n\n\n\n
    var1= complex(3,2)\nrealnum = var1.real\nimagnum = var1.imag\nprint(var1)\nprint(\"Real number is \", realnum)\nprint(\"Imaginary number is \", imagnum)<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    (3+2j)\nReal number is  3.0\nImaginary number is  2.0<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    The <\/strong>conjugate()<\/code><\/mark> method can also be used to locate the conjugate of a complex number. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    The conjugate()<\/code><\/mark> method returns the conjugate complex of a complex integer in the following format:<\/p>\n\n\n\n
    var1= complex(3,2)\nconjugateNum= var1.conjugate()\nprint(var1)\nprint(\"Conjugate is\", conjugateNum)<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    (3+2j)\nConjugate is (3-2j)<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Fraction Numbers in Python<\/strong><\/h2>\n\n\n\n
    Using the fraction numbers<\/strong> module, fractions have been explicitly implemented in Python. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Import the fractions module using the import statement below to use the fraction data type in Python.<\/p>\n\n\n\n
    import  fractions<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    The Fraction()<\/mark><\/code> function of the fractions module can be used to define a fraction object using integers in Python.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Two integers are required as input<\/strong>.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    The first input is regarded as the numerator, while the second input is regarded as the denominator. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    After execution, the Fraction()<\/mark><\/code> function returns a numerator\/denominator fraction object.<\/p>\n\n\n\n
    import fractions\n\nvar1 = fractions.Fraction(1,2)\nprint(\"var1 answer is\",var1)\nprint(type(var1))<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    var1 answer is 1\/2\n<class 'fractions.Fraction'><\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Using the Fraction()<\/mark><\/code> method, you may also convert a floating-point number to a fraction.<\/p>\n\n\n\n
    import fractions\n\nvar1 = fractions.Fraction(0.5)\nprint(\"var1 answer is\",var1)\nprint(type(var1))<\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Output:<\/strong><\/p>\n\n\n\n
    var1 answer is 1\/2\n<class 'fractions.Fraction'><\/code><\/pre>\n\n\n\n
    <\/p>\n\n\n\n
    Mathematical Functions<\/strong><\/h2>\n\n\n\n
    The following list below is the Mathematical Built-in Functions<\/strong> that perform Mathematical calculations in Python.<\/p>\n\n\n\n
    No.<\/th>Function & Returns ( description )<\/strong><\/strong><\/th><\/tr><\/thead>
    1<\/td>abs(x)<\/strong>
    <\/code>The absolute value of x:<\/mark><\/code> the (positive) distance between x<\/mark><\/code> and zero.<\/td><\/tr>
    2<\/td>ceil(x)
    <\/code><\/strong>The ceiling of x:<\/mark><\/code> the smallest integer not less than x<\/mark><\/code><\/td><\/tr>
    3<\/td>cmp(x, y)
    <\/code><\/strong>-1 if x: < y<\/mark><\/code>, 0<\/mark><\/code> if x == y<\/mark><\/code>, or 1<\/mark><\/code> if x > y<\/mark><\/code><\/td><\/tr>
    4<\/td>exp(x)
    <\/code><\/strong>The exponential of x:ex<\/sup><\/mark><\/code><\/td><\/tr>
    5<\/td>fabs(x)
    <\/code><\/strong>The absolute value of x<\/mark><\/code>.<\/td><\/tr>
    6<\/td>floor(x)
    <\/code><\/strong>The floor of x:<\/mark><\/code> the largest integer not greater than x<\/mark><\/code><\/td><\/tr>
    7<\/td>log(x)
    <\/code><\/strong>The natural logarithm of x<\/mark><\/code>, for x > 0<\/mark><\/code><\/td><\/tr>
    8<\/td>log10(x)
    <\/code><\/strong>The base-10 logarithm of x<\/mark><\/code> for x > 0<\/mark><\/code>.<\/td><\/tr>
    9<\/td>max(x1, x2,...)
    <\/code><\/strong>The largest of its arguments: the value closest to positive infinity<\/td><\/tr>
    10<\/td>min(x1, x2,...)
    <\/code><\/strong>The smallest of its arguments: the value closest to negative infinity<\/td><\/tr>
    11<\/td>modf(x)
    <\/code><\/strong>The fractional and integer parts of x<\/mark><\/code> in a two-item tuple. Both parts have the same sign as x<\/mark><\/code>. The integer part is returned as a float<\/mark><\/code>.<\/td><\/tr>
    12<\/td>pow(x, y)
    <\/code><\/strong>The value of x**y<\/mark><\/code>.<\/td><\/tr>
    13<\/td>round(x [,n])
    x<\/mark><\/code> rounded to n<\/mark><\/code> digits from the decimal point. Python rounds away from zero as a tie-breaker: round(0.5)<\/mark><\/code> is 1.0<\/mark><\/code> and round(-0.5)<\/mark><\/code> is -1.0<\/mark><\/code>.<\/td><\/tr>
    14<\/td>sqrt(x)
    <\/code><\/strong>The square root of x<\/mark><\/code> for x > 0<\/mark><\/code><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    <\/p>\n\n\n\n
    If you require additional information, please refer to the Python Mathematical Functions Documentation<\/a>.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Trigonometric Functions<\/strong><\/h2>\n\n\n\n
    The following list below is the Trigonometric Functions<\/strong> that perform Trigonometric calculations in Python.<\/p>\n\n\n\n
    No.<\/th>Function and Description<\/th><\/tr><\/thead>
    1<\/td>acos(x)
    <\/code><\/strong>Return the arc cosine of x<\/mark><\/code>, in radians.<\/td><\/tr>
    2<\/td>asin(x)
    <\/code><\/strong>Return the arc sine of x<\/mark><\/code>, in radians.<\/td><\/tr>
    3<\/td>atan(x)
    <\/code><\/strong>Return the arc tangent of x<\/mark><\/code>, in radians.<\/td><\/tr>
    4<\/td>atan2(y, x)
    <\/code><\/strong>Return atan(y \/ x)<\/mark><\/code>, in radians.<\/td><\/tr>
    5<\/td>cos(x)
    <\/code><\/strong>Return the cosine of x<\/mark><\/code> radians.<\/td><\/tr>
    6<\/td>hypot(x, y)
    <\/code><\/strong>Return the Euclidean norm, sqrt(x * x + y * y)<\/mark><\/code>.<\/td><\/tr>
    7<\/td>sin(x)
    <\/code><\/strong>Return the sine of x<\/mark><\/code> radians.<\/td><\/tr>
    8<\/td>tan(x)
    <\/code><\/strong>Return the tangent of x<\/mark><\/code> radians.<\/td><\/tr>
    9<\/td>degrees(x)
    <\/code><\/strong>Converts angle x<\/mark><\/code> from radians to degrees.<\/td><\/tr>
    10<\/td>radians(x)
    <\/code><\/strong>Converts angle x<\/mark><\/code> from degrees to radians.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    <\/p>\n\n\n\n
    Check the Python Documentation for additional details about Trigonometric Functions<\/a>.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Mathematical Constants<\/strong><\/h2>\n\n\n\n
    The list below is the two Mathematical constants in Python<\/strong>.<\/p>\n\n\n\n
    No<\/th>Constant and Description<\/th><\/tr><\/thead>
    1<\/td>pi<\/strong>
    <\/code>The mathematical constant pi<\/mark><\/code>.<\/td><\/tr>
    2<\/td>e<\/strong>
    <\/code>The mathematical constant e<\/mark><\/code>.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    Random Numbers Functions in Python<\/strong><\/h2>\n\n\n\n
    The list below is the most commonly used Random Numbers Functions in Python<\/strong>. <\/p>\n\n\n\n
    <\/p>\n\n\n\n
    This is used in simulations, games, security, testing, and privacy applications.<\/p>\n\n\n\n
    No<\/th>Function and Description<\/th><\/tr><\/thead>
    1<\/td>choice(seq)
    <\/code><\/strong>A random item from a list<\/mark><\/code><\/mark><\/code>, tuple<\/mark><\/code>, or string<\/mark><\/code>.<\/td><\/tr>
    2<\/td>randrange ([start,] stop [,step])
    <\/code><\/strong>A randomly selected element from range(start, stop, step)<\/mark><\/code><\/td><\/tr>
    3<\/td>random()
    <\/code><\/strong>A random float r<\/mark><\/code>, such that 0<\/mark><\/code> is less than or equal to r<\/mark><\/code> and r<\/mark><\/code> is less than 1<\/mark><\/code><\/td><\/tr>
    4<\/td>seed([x])
    <\/code><\/strong>Sets the integer starting value used in generating random numbers. Call this function before calling any other random module function. Returns None.<\/td><\/tr>
    5<\/td>shuffle(lst)
    <\/code><\/strong>Randomizes the items in a list without moving them. Returns None.<\/td><\/tr>
    6<\/td>uniform(x, y)
    <\/code><\/strong>A random float r<\/mark><\/code>, such that x<\/mark><\/code> is less than or equal to r<\/mark><\/code> and r<\/mark><\/code> is less than y<\/mark><\/code><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    <\/p>\n\n\n\n
    Python Documentation has additional information on Random Numbers<\/a>.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    Summary<\/strong><\/h2>\n\n\n\n
    In summary, you learned about Type conversion of Python Numbers, Mathematical Functions such as Trigonometric Functions, and Random Numbers functions<\/strong>.<\/p>\n\n\n\n
    <\/p>\n\n\n\n
    I hope that this tutorial helped you understand how to use Numbers in Python<\/strong>.<\/p>\n\n\n\n
    \n\n\n\n
    \n
    \n
    \n
    \u2770\u2770<\/mark> Previous<\/strong><\/mark><\/a><\/div>\n<\/div>\n\n\n\n
    Python Loops<\/strong><\/p>\n<\/div>\n\n\n\n
    \n
    \n
    Next <\/strong>\u2771\u2771<\/mark><\/a><\/div>\n<\/div>\n\n\n\n
    Python Strings<\/strong><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
    What is Python Numbers? The Python Numbers data types store numeric values. Since they are immutable, changing the value of a number data type results in a freshly allocated object. … <\/p>\n
    Read 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