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An example would be 2 ÷ 4 = 0.5

A counter example would be 4 ÷ 2 = 2

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11y ago

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Are all integers closed under division?

No, integers are not closed under division. When you divide one integer by another, the result is not always an integer; for example, dividing 1 by 2 yields 0.5, which is not an integer. Therefore, the set of integers is not closed under the operation of division.


Which operation is the set of integers not closed?

The set of integers is not closed under division. While adding, subtracting, and multiplying integers always result in another integer, dividing two integers can produce a non-integer (for example, (1 \div 2 = 0.5)). Thus, division of integers does not guarantee that the result remains within the set of integers.


Is the set of nonzero integers closed under division?

The set of nonzero integers is not closed under division. This is because dividing one nonzero integer by another can result in a non-integer. For example, ( 1 \div 2 = 0.5 ), which is not an integer. Therefore, the result of the division is not guaranteed to be a member of the set of nonzero integers.


Are positive integers closed under division?

No, they are not.


What set of numbers is closed under division?

Integers are closed under division I think o.o. It's either counting numbers, integers or whole numbers . I cant remember :/


How are the rules for multiplication and division integers the same?

They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.


Why are rational numbers not like integers?

The set of rational numbers is closed under division, the set of integers is not.


Are integers closed under division?

No. Integers are not closed under division because they consist of negative and positive whole numbers. NO FRACTIONS!No.For a set to be closed under an operation, the result of the operation on any members of the set must be a member of the set.When the integer one (1) is divided by the integer four (4) the result is not an integer (1/4 = 0.25) and so not member of the set; thus integers are not closed under division.


Is the set of odd integers closed under division?

No. For example, 5 is an odd integer and 3 is an odd integer, yet 5/3 is neither an integer nor odd (as odd numbers are, by definition, integers).


What are the characteristics of integers?

Integers are the natural numbers (counting numbers: 1,2,3,etc.), and their negative counterparts, and zero. The set of Integers is closed for addition, subtraction, and multiplication, but not division. Closed means that the answer will be a part of the set. Example: 1/3 (1 divided by 3 equals one third) is not an integer, even though both 1 and 3 are integers.


What are the fundamental operations of integers?

I am not sure there are any fundamental operations of integers. The fundamental operations of arithmetic are addition, subtraction, multiplication and division. However, the set of integers is not closed with respect to division: that is, the division of one integer by another does not necessarily result in an integer.


Give example of closure property?

Add two positive integers and you ALWAYS have a positive integers. The positive integers are closed under addition.