Question

Is the set of integers closed under division? Explain why or why not.

Answer 1

The set of integers is not closed under the operation of division because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

How to determine the true statement?

Integers are numbers without decimal points

When integers are divided, the possible results are:

• Zero
• Decimal
• Integers

The decimal and the zero possibilities imply that the set of integers is not closed under the operation of division

This is so because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

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