Question

Is the collection of integers under division

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Answer 1

Answer:

The set of integers is not closed under the operation of division because when you divide one integer by another, you don't always get another integer as the answer. For example, 4 and 9 are both integers, but 4 ÷ 9 = 4/9. ... – 11 is not a natural number, so it is not in the set of natural numbers!

Answer 2

Given :  collection of integers under division

To Find : Is the collection of integers under division is closed

Solution:

collection of integers under division will be closed

if on Dividing 2 integers result is also integer

1/2    , 2/3  are not integers

1/0  , 2/0  are not defined

Hence the collection of integers under division is not closed

However Addition , subtraction and division of integers are closed

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