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Mathematics
Number Theory
Division of Integers

Is the set of integers closed under division?

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asked by Megan
1 year ago
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5 is an integer

4 is an integer

is 4/5 an integer?

So what is your thought?

answered by mathhelper
1 year ago
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Did you know?

The set of integers is not closed under division. Unlike addition, subtraction, and multiplication, division does not always result in an integer when working solely with integers. For example, dividing 6 by 3 gives us the integer 2, but dividing 6 by 4 yields the fraction 1.5, which is not an integer. This lack of closure under division makes it necessary to consider other number sets, such as rational numbers, to ensure closure when dividing.

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