Negative Rational Numbers

Definition:

A rational number is said to be negative rational number if its numerator and denominator are  opposite sign such that one of them is positive integer and other one is a negative integer.

In other words, a rational number is negative if its numerator and denominator are of the opposite sign.

We write negative of 3/2 as -3/2.

While we write Negative rational numbers we put negative sign in front of the number or with the numerator.

Example: -2/3,  -3/5,  5/-6,  11/-7,  13/-4,  -25/6,  -34/46 are negative integers. 

2/3,  3/5,  5/6,  11/7,  -13/-4,  -25/-6,  -34/-46 are positive integers.

We know that -1/1 = -1, -3/1 = -3, -12/1 = -12, -/1 = -309/1 = -309,  -5469/1 = -5469 and so on….    

Any negative integer n can be written as n = n/1, here n is negative and 1 is positive.    

Every natural number is a (-ve) negative rational number.

Check the following rational numbers negative are not. 

1:  2/(-3)

2/(-3) is a negative rational number because both numerator and denominator are opposite sign.

2:  (-3)/(-4)

-3/-4 is a positive rational number because both numerator and denominator are negative integers or same sign.

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 a negative rational number because both numerator and denominator are opposite sign.

6:  (-286)/94
(-286)/94 is a negative rational number because both numerator and denominator are opposite sign.

7:  647/(-235)
647/(-235) is a negative rational number because both numerator and denominator are opposite sign.

8:  4278/(-351)

4278/(-351) is a negative rational number because both numerator and denominator are opposite sign.  

Note: Rational number 0 is neither negative nor positive.