False on all three accounts.
By knowing that a "dozen" represents a set of 12, and then either by adding them or by taking the shortcut—multiplying them! Multiplication is just fancy short-hand addition.
How do you know in this case? Did you get 2,688 eggs.
This particular problem has a real-world counterpart and can actually be proven as a natural fact.
You haven't proven that empirically.
You denied a "real-world" counterpart to polynomial equations I referenced earlier. On what basis? Algebra?
Do you multiply 12 times 224 or 224 times 12? Does it matter? How do you know? Empirically.