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

2 Answers

3 votes

Answer:

-1

Explanation:

User Jim Yarbro
by
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3 votes

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".

User Kango
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