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Jobisdone [24]
2 years ago
13

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

Mathematics
1 answer:
In-s [12.5K]2 years ago
7 0

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

\dfrac{0}{a}=0

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

\dfrac{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".

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