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.

Note: Rational number 0 is neither negative nor positive.

Leave a Reply

Your email address will not be published. Required fields are marked *