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Q: Are positive integers closed under division?

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negetive integers are not closed under addition but positive integers are.

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.

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

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.

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

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

A set is closed under a particular operation (like division, addition, subtraction, etc) if whenever two elements of the set are combined by the operation, the answer is always an element of the original set. Examples: I) The positive integers are closed under addition, because adding any two positive integers gives another positive integer. II) The integers are notclosed under division, because it is not true that an integer divided by an integer is an integer (as in the case of 1 divided by 5, for example). In this case, the answer depends on the definition of "whole numbers". If this term is taken to mean positive whole numbers (1, 2, 3, ...), then the answer is no, they are not closed under subtraction, because it is possible to subtract two positive whole numbers and get an answer that is not a positive whole number (as in the case of 1 - 10 = -9, which is not a positive whole number)

1 No. 2 No. 3 Yes.

yes, because an integer is a positive or negative, rational, whole number. when you subject integers, you still get a positive or negative, rational, whole number, which means that under the closure property of real numbers, the set of integers is closed under subtraction.

Positive integers are greater than zero, negative integers are less than zero. The set of positive integers is closed under multiplication (and form a group), the set of negative integers is not.

Yes, the set of integers is closed under subtraction.

Of not being equal to zero. Also, of being closed under division.

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