Answer:
See Explanation
Step-by-step explanation:
Required
Determine positive and negative rational numbers
As a point of reference, we have the following
[tex]\frac{+}{+} = +[/tex] --- (1)
[tex]\frac{-}{+} = -[/tex] --- (2)
[tex]\frac{+}{-} = -[/tex] --- (3)
[tex]\frac{-}{-} = +[/tex] --- (4)
(a): [tex]\frac{+2}{+3}[/tex]
See (1) above;
So, we have:
[tex]\frac{+2}{+3} = +\frac{2}{3}[/tex]
Hence, this is positive
(b): [tex]\frac{+2}{-3}[/tex]
See (3) above;
So, we have:
[tex]\frac{+2}{-3} = -\frac{2}{3}[/tex]
Hence, this is negative
(c): [tex]\frac{-1}{-3}[/tex]
See (4) above;
So, we have:
[tex]\frac{-1}{-3} = +\frac{1}{3}[/tex]
Hence, this is positive
(d): [tex]\frac{-1}{+3}[/tex]
See (2) above;
So, we have:
[tex]\frac{-1}{+3} = - \frac{1}{3}[/tex]
Hence, this is negative.
(e): [tex]\frac{+1}{-3}[/tex]
See (3) above;
So, we have:
[tex]\frac{+1}{-3} = -\frac{1}{3}[/tex]
Hence, this is negative
(f): [tex]\frac{-2}{-3}[/tex]
See (4) above;
So, we have:
[tex]\frac{-2}{-3} = +\frac{2}{3}[/tex]
Hence, this is positive
(g): [tex]\frac{+1}{+3}[/tex]
See (1) above;
So, we have:
[tex]\frac{+1}{+3} = +\frac{!}{3}[/tex]
Hence, this is positive
(h): [tex]\frac{-2}{+3}[/tex]
See (2) above;
So, we have:
[tex]\frac{-2}{+3} = - \frac{2}{3}[/tex]
Hence, this is negative.
