Final answer:
The ordered pair (5, -8) is in the fourth quadrant because it has a positive x-coordinate and a negative y-coordinate.
Step-by-step explanation:
The ordered pair (5, -8) is located in the fourth quadrant of the Cartesian coordinate system. This is determined by the sign of the coordinates: the x-coordinate is positive (5) and the y-coordinate is negative (-8), which is characteristic of the fourth quadrant. In the Cartesian plane, the first quadrant contains all points where both x and y are positive, the second quadrant has points with a negative x and a positive y, the third quadrant contains points where both x and y are negative, and the fourth quadrant has points with a positive x and a negative y.