EVEN & ODD NUMBERS | NUMBER SYSTEM | ARITHMETIC CLASSES | ONLINE EXAMS
Channel: Aru's 18
Date: 12/07/2020

The even and odd numbers 

“Even numbers are those numbers which are divisible by 2 and odd numbers which are not divisible by two”.
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“Even numbers are those which when divided by 2 leaves no remainder or as 0 and Odd numbers are those numbers which when divided by 2 leaves a remainder of 1”.
Representation of Even and Odd Numbers
The sets of even and odd numbers can be expressed as 
Even = { 2n : n ϵ Z }
Odd = { 2n + 1 : n ϵ  Z }
A formal definition of an even number is an integer of the form  2n, where k is an integer. An odd number is defined as an integer of the form  2n + 1. This classification applies only to integers. Non-integer numbers like 2/3, 5.021211, or infinity are neither even nor odd.

For easy understanding, even we can distribute equally between two people or group but in odd we cannot divide equally.

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Please watch: "ARITHMETIC CLASSES | EASY METHODS  | COMPUTATIVE EXAMS | ONLINE CLASSES | NUMBER SYSTEM PART 1" 
https://www.youtube.com/watch?v=Tyax_v5cPTM
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