In this article, you will learn about Positive Rational Numbers. Get to know about solved examples and explaining all about how come they are called Positive Rational Numbers. A Rational Number is said to be positive if both the numerator and denominator are either positive integers or negative integers. You can also say that a rational number is positive if both numerator and denominator are of the same sign.
1/6, 2/7, -9/-11, -5/-13, 8/12 are positive rationals, but 6/-5, -3/11, -8/7, 9/-23 are not positive rationals.
Is every natural number a positive rational number?
We know 1 = 1/1, 2 = 2/1, 3 = 3/1, 4 = 4/1 and ……..
Any natural number n can be written as n/1 where n, 1 are positive integers.
Therefore, every natural number is a positive rational number. Do remember Rational Number 0 is neither positive nor negative.
Determine whether the following rational numbers are positive or not
(i) -7/3
-7/ 3 is not a positive rational number as both the numerator and denominator are of opposite sign.
(ii) -9/-11
-9/-11 is a positive rational number as both the numerator and denominator are of the same sign.
(iii) 11/19
11/19 is a positive rational number since both numerator and denominator are positive integers.
(iv) 21/-7
21/-7 is not a positive rational number as both the numerator and denominator are of opposite sign.
(v) -105/7
-105/7 is not a positive rational number as both numerator and denominator are of opposite sign.
(vi) 25/31
25/31 is a positive rational number since both numerator and denominator are positive integers.
(vii) -6/5
-6/5 is not a positive rational number as both the numerator and denominator are of opposite sign.
(viii) 21/-25
21/-25 is not a positive rational number as both numerator and denominator are of opposite sign.
Thus, we can say that a rational number is positive if it has both numerator and denominator are of the same sign.