Final answer:
A counterexample to the claim that dividing a number by 2 always results in a smaller number is when the number is -1. When we divide -1 by 2, we get -0.5, which is actually a larger number than -1.
Step-by-step explanation:
A counterexample to the claim that dividing a number by 2 always results in a smaller number is when the number is -1. When we divide -1 by 2, we get -0.5, which is actually a larger number than -1.
This counterexample shows that dividing a number by 2 does not always result in a smaller number.