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## Operations With Integer and Floating-Point Numbers

**The integer arithmetic**

For integers, the operations `+`

, `-`

, `*`

and `**`

are determined. Division operation `(/)`

for integers returns a real number (float value). The exponentiation returns a float if the exponent is a negative number.

But there is a special integer division operation which performs a discarding of the fractional part of the number `(//)`

(it corresponds to the operation div in Pascal). It returns an integer part of the quotient. Another similar operation takes the remainder of the division `(%)`

(which corresponds to the operation mod in Pascal). For example:

print (17/3) # prints 5.66666666667 print (17.3) # prints 5 print (17% 3) # prints 2

**Real numbers**

Please note that if you want to read a real number from the keyboard, then the result returned by the input() function must be converted to the float type:

x = float(input()) print(x)

Floating point numbers in the language of Python are recorded as follows: mantissa, e letter, the order. There are no spaces in this record.

Recall that the result of the operation `/`

is always a real number (float), while the result of the operation `//`

is an integer (int).

Conversion of the real numbers is made with the rounding towards zero, that is, `int (1.7) == 1`

, `int (-1.7) == -1`

.

**Math library**

To perform calculations with real numbers, the Python language has many additional functions, collected in a library, which is called “math”.

To use these functions you need to connect math library in the beginning of the program:

import math

For example, suppose we want to round the real number to the nearest integer number. The corresponding function `ceil`

with one argument is invoked like this: `math.ceil (x)`

. Any number can be put instead of x. It can be a variable or an expression. The function returns the value that can be displayed on the screen, assigned to another variable or used in the expression:

import math x = math.ceil(4.2) y = math.ceil(4.8) print(x) print(y)

Another way to use the functions fro, the math library, which does not need to specify the name of the module every time you use the function fro, the math module is as follows:

from math import ceil x = 7 / 2 y = ceil(x) print(y) or so: from math import * x = 7 / 2 y = ceil(x) print(y)

You can see the whole list on the Python official website: https://docs.python.org/2/library/math.html.

Thanks for your attention!