Addition and Multiplication

Addition as Disjoint Union

Addition as disjoint union then counting

Associative Property of Addition

Multiplication as Cartesian Product

form all pairs of the numbers. then count

Commutative Property of Multiplication

commutative as which set goes first, do the explicit map

try to just use explicit number examples don't worry about generalizations here.

Distributive Propery of Multiplication

make the explicit map here

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