What result do you get when multiplying two negative numbers?

When multiplying two negative numbers, the result is a positive number. This is based on the rules of arithmetic and the properties of signed numbers.

The reasoning behind this can be understood through the concept of opposites. A negative number can be thought of as representing a direction opposite to a positive number. When you multiply two opposites, the original direction is effectively negated twice, resulting in a return to the original positive direction.

For example, consider the multiplication of -2 and -3. When you take -2 and effectively reverse the direction two times (once for each negative), you end up with a positive 6. This rule holds true for all pairs of negative numbers in multiplication, leading to a positive result every time.

Understanding this property is essential not only in arithmetic but also in areas where operations of signed numbers are necessary, such as algebra and calculus. It reinforces the idea that multiplying two negatives yields a positive outcome.