Question

List five more positive rational no.

Answer 1

. Is every natural number a positive rational number?

We know that, 1 = 1/1, 2 = 2/1, 3 = 3/1, 4 = 4/1 and so on ……..

In other words, any natural number n can be written as n = n/1, where n and 1 are positive integers.

Hence, every natural number is a positive (+ve) rational number.

Note: The rational number 0 is neither positive nor negative.



 

2. Determine whether the following rational numbers are positives or not:

(i) (-11)/3

(-11)/3 is not a positive rational. Since both the numerator and denominator are of the opposite sign.


(ii) (-5)/(-7)

(-5)/(-7) is a positive rational. Since both the numerator and denominator are negative integers.


(iii) 13/19

13/19 is a positive rational. Since both the numerator and denominator are positive integers.


(iv) 21/(-17)

21/(-17) is not a positive rational. Since both the numerator and denominator are of the opposite sign.


(v) (-105)/(-8)

(-105)/(-8) is a positive rational. Since both the numerator and denominator are negative integers.


(vi) (-3)/7

(-3)/7 is not a positive rational. Since both the numerator and denominator are of the opposite sign.


(vii) 27/31

27/31 is a positive rational. Since both the numerator and denominator are positive integers.


(viii) 25/(-27)

25/(-27) is not a positive rational. Since both the numerator and denominator are of the opposite sign.


So, from the above explanation we conclude that a rational number is positive, if its numerator and denominator are of the same sign.