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

Question

asked Apr 22, 2022 184k views

2 Answers

Kango · Answer 1 · 2022-04-26T15:38:40+0000

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

(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".