CBSE Class 9 Answered
the set of even numbers belongs to set of natural no.s or integers.
Asked by ANIRUDH VENKAT | 30 Jan, 2012, 10:25: AM
Expert Answer
An even number is an integer of the form 
, where 
is an integer. The even numbers are therefore ..., 
, 
, 0, 2, 4, 6, 8, 10, ... . Since the even numbers are integrally divisible by two, the congruence 
holds for even 
. An even number 
for which 
also holds is called a singly even number, while an even number 
for which 
is called a doubly even number. An integer which is not even is called an odd number.
, where is an integer. The even numbers are therefore ..., , , 0, 2, 4, 6, 8, 10, ... . Since the even numbers are integrally divisible by two, the congruence holds for even . An even number for which also holds is called a singly even number, while an even number for which is called a doubly even number. An integer which is not even is called an odd number.The oddness of a number is called its parity, so an odd number has parity 1, while an even number has parity 0.
Answered by | 30 Jan, 2012, 11:01: AM
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