Final answer:
An ordered pair with no zeros can be located only in Quadrant I if both x and y are positive, and only in Quadrant III if both x and y are negative, thus it cannot be located in more than one quadrant.
Step-by-step explanation:
The question regards whether an ordered pair with no zeros can be located in more than one quadrant of the Cartesian coordinate system. According to the rules of the coordinate system, the sign of an ordered pair (x, y) determines the quadrant it belongs to. In the first quadrant (Quadrant I), both x and y are positive. In the second quadrant (Quadrant II), x is negative and y is positive. In the third quadrant (Quadrant III), both x and y are negative. Finally, in the fourth quadrant (Quadrant IV), x is positive and y is negative.
Given this, an ordered pair with no zeros cannot be in more than one quadrant. If both components of the ordered pair are positive, it will be in Quadrant I, if both are negative it will be in Quadrant III. Therefore, the correct answer to the question is: No, only in Quadrant I if both values are positive, and No, only in Quadrant III if both values are negative.