Multiplication and division is reserved for the metaphysical world while addition and subtraction is reserved for the physical. Multiplication and division describe the conjoining and removing of components that make a whole, so a product is ultimately a whole and all products therefore have the same value of 1 and are only differentiated by their specific compositions and unique proportions within a 0 to 1 or subjective space.
Related hypothesis: the numerator-denominator relationship is inherently representative of the positivity-negativity relationship in the event that position and negation are made to be relative to each other rather than separated. In other words, the multiplication-division opposition while existing within a subjective space manifests itself as the uniting or the relationship of positive and negative in contrast to the addition-subtraction opposition which manifests itself as the separation of positive and negative.