Question

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

Answer 1

-1

Explanation:

Answer 2

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
`a`, then

`(0)/(a)=0`

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

`(0)/(2)=0`

Here, the result is not a smaller number because
`0=0`.

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