Question

State whether the conjecture is true or false. If false provide a counter example

Division of whole numbers is associative.

Answer 1

The Associative property does not hold for the division of whole numbers.

Explanation:

If ‘a’, ‘b’, and ‘c’ are the three whole numbers then, a ÷ (b ÷ c) ≠ (a ÷ b) ÷ c ⇒ 100 ÷ (25 ÷ 5) = 20 ≠ (100 ÷ 25) ÷ 5 = 4 ÷ 5. Easy Way to Remember the Properties of Whole Numbers