Explain why the set of integers is closed under addition, multiplication and subtraction, but not closed under division

Injetaangetly2u

Injetaangetly2u

Answered question

2022-09-02

Explain why the set of integers is closed under addition, multiplication and subtraction, but not closed under division

Answer & Explanation

ekhonawy

ekhonawy

Beginner2022-09-03Added 6 answers

The set of integers is closed under addition because the addition of any two integers always gives an integer as result.
The set of integers is closed under multiplication because the multiplication of any two integers always gives an integer as result.
The set of integers is closed under subtraction because the subtraction of an integer from another integer always gives an integer as result.
The set of integers is not closed under division because the division of any integers by another integer not necessarily gives an integer as result.

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