Is 0 a rational number justify
Answers
Because it can have the denominator 1.So it becomes 0/1.
According to rational no., the no. should be in p/q form and q not equal to zero.
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Solution :
Yes , 0 is a rational number.
0 is a rational number just because we can write 0 as :-
➨ 0 = 0/1
Additional Information :-
About : Rational Numbers
The numbers of the form p/q , where p and q are integers and q ≠ 0 , are known as ration numbers.
The collection of of rational numbers is denoted by Q and is written as :-
Q = ( p/q : p , q are integers , q ≠ 0)
'Rational' comes from the word 'ratio' and Q comes from the word 'quotient'.
Examples :-
1/4 , 3/2 , 11/79 , -2001/2002 , etc. are all rational numbers.
Point to be Noted :
(i) There are infinitely many rational numbers.
(ii) There is no least or greatest rational number.
(iii) Every natural number is a rational numbers since we can write :-
1 = 1/1 , 2 = 2/1 , 3 = 3/1 , etc.
(iv) Every integer is a rational numbers in an integer a can be written as a/1 :-
-31 = -31/1 , 0 = 0/1 , 79 = 79/1 , etc.
Hence , rational numbers include natural numbers, whole numbers and integers.