Positive Rational Numbers – Definition – Examples
Positive Rational Numbers
Definition:
A rational number is said to be positive rational number, if its numerator and denominator both are either positive integers or negative integers.
In other words, a rational number is positive if its numerator and denominator are of the same sign.
Example: 2/9, 3/5, 7/6, 11/7, -13/-4, -25/-6, -34/-46 are positive integers.
-2/3, -3/5, 5/-6, 11/-7, 13/-4, -25/6, -34/46 are negative integers.
Check the following rational numbers positive are not.
1: 3/4
3/4 is a positive rational number because both numerator and denominator are positive integers.
2: (-3)/(-4)
(-3)/(-4) is a positive rational number because both numerator and denominator are negative integers.
3: 12/5
12/5 is a positive rational number because both numerator and denominator are positive integers.
4: (-23)/(-14)
(-23)/(-14) is a positive rational number because both numerator and denominator are negative integers.
5: (-2)/7
(-2)/7 is not a positive rational number because both numerator and denominator are opposite sign.
6: (-286)/94
(-286)/94 is not a positive rational number because both numerator and denominator are opposite sign.
7: 647/(-235)
647/(-235) is not a positive rational number because both numerator and denominator are opposite sign.
8: 4278/(-351)
4278/(-351) is not a positive rational number because both numerator and denominator are opposite sign.
Every natural number is a (+ve) positive rational number.
We know that any natural number divided by 1, the result of division is number itself.
Example: 1/1 = 1, 5/1= 5, 43/1 = 43, 176/1= 176, 3086/1 = 3086 and so on….. Therefore, any natural number n can be written as
n = n/1, where n and 1 are positive integers.