Consistency of units is required when adding two collections of units. Given that a multiplicand is a quantity of noun units and a multiplier is a quantity of verb units (additions or subtractions of the multiplicand to or from zero) you cannot add a multiplicand and multiplier because you wouldn't know if the answer was a.sum of nouns or verbs.

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Unit consistency is fundamental in mathematics. When we add quantities, they must have the same units. For example, 3 apples plus 2 apples equals 5 apples - this makes sense because we're adding the same type of objects. However, 3 apples plus 2 oranges creates confusion - we cannot determine if the result should be counted as apples or oranges. This principle of dimensional consistency is essential for meaningful mathematical operations.