What is a counterexample to this claim? Dividing a number by 2 always results in a smaller number.

Given:

Dividing a number by 2 always results in a smaller number.

To find:

The counterexample to the given claim.

Solution:

If 0 is divided by is divided by any non-zero real number , then

Let us consider the unknown number be 0. Then dividing a number by 2, we get

Here, the result is not a smaller number because .

Therefore, the counterexample to the given claim is "Dividing 0 by 2".

step-by-step explanation: s