What does the division of a positive number by a negative number yield?

When you divide a positive number by a negative number, the result is always negative. This is due to the fundamental rules of division and the nature of positive and negative numbers.

To understand this better, consider that division can be thought of as distributing a positive quantity into groups represented by a negative quantity. For instance, dividing 10 by -2 can be visualized as taking 10 and trying to distribute it into -2 groups. Since the divisor (the number you're dividing by) is negative, the outcome represents a negative distribution, resulting in a negative value.

In mathematical terms, when a positive number is divided by a negative number, the signs determine the sign of the result. A positive divided by a negative yields a negative outcome, reinforcing the concept that the overall operation is dictated by the sign of the numbers involved. Therefore, the correct interpretation of dividing a positive number by a negative number is that it results in a negative number.