Final answer:
The product of two negative numbers is positive, as illustrated by a driving example where driving to school and returning home (both directional changes) result in a total positive distance covered. This parallels the multiplication of two negative numbers.
Step-by-step explanation:
Another way to understand why the product of two negative numbers must be a positive number can be explained using a real-life scenario. Let's discuss a driving example. Suppose you're at home, and the school is 5 kilometers away. Let's suppose that going towards the school is a positive (+) direction and going back home from school is a negative (-) direction.
Now, you drive to school and back home, covering a distance of 5 kilometers each way. If we denote your motion towards school as (+5) kilometers and home as (-5) kilometers, the result of multiplication, which is a representation of the total distance you covered, both ways, would become (+25) kilometers when you multiply (+5) with (-5). The product is positive because you indeed covered distance; it did not disappear, it's actual distance covered.
This directly relates to the principle in mathematics that the product of two negative numbers yields a positive number. The notion of change in 'direction' twice (to school and back home) aligns with the multiplication of two negative numbers giving a positive result.
Learn more about Multiplication of Negative Numbers