When is the result of division positive?

The result of a division is positive when dividing two negative numbers. This occurs because dividing a negative by a negative yields a positive result. The underlying principle is based on the multiplication rules of signs: if you multiply two negative numbers, the product is positive. Thus, when you divide one negative number by another, it is equivalent to multiplying a negative by a negative, resulting in a positive quotient.

While the other choices highlight scenarios in which division can yield positive results, they aren't the only situations where this occurs. For instance, dividing one positive number by another positive number also results in a positive outcome. Therefore, the more comprehensive answer acknowledges that positive results can arise from both pairs of negatives and positives.

However, focusing solely on the situation where two negatives are divided gives a clear and specific instance of when the outcome is undoubtedly positive. Understanding this key relationship in basic arithmetic helps reinforce overall comprehension of the signs associated with division.