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# Are non-zero integers closed under division?

Updated: 9/24/2023

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Q: Are non-zero integers closed under division?
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### What property do all nonzero numbers have that integers do not?

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

### 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.

### Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?

1 No. 2 No. 3 Yes.

### Is the set of even integers closed under subtraction and division?

Subtraction: Yes. Division: No. 2/4 = is not an integer, let alone an even integer.

Yes.

### Is the collection of integers closed under subraction?

Yes, the set of integers is closed under subtraction.

### Why are odd integers closed under multiplication but not under addition?

The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.

### What is the rule of addition of integers?

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