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30 3. WHOLE NUMBERS: OPERATIONS AND PROPERTIES (2) The measurement model – uses directed arrows on a number line. Properties of whole number addition: Closure property The sum of any two whole numbers is a whole number. Example. The even whole numbers are closed under addition. The odd whole numbers are not closed under addition. Why? Commutative property Let a and b be any whole numbers. Then a + b = b + a. Associative property Let a, b, and c be any whole numbers. Then (a + b) + c = a + (b + c).