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IS natural numbers are closed under multiplication? Please answer as soon as possible. Thank You!

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16y ago

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The natural numbers are closed under division?

No, the natural numbers are not closed under division. For example, 2 and 3 are natural numbers, but 2/3 is not.


Is Natural numbers are closed under multiplication?

Yes.natural numbers are closed under multiplication.It means when the operation is done with natural numbers in multiplication the sum of two numbers is always the natural number.


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.


Under which operation are natural numbers closed?

Addition.


Are natural numbers closed under multiplication?

Yes.


Are even natural numbers closed under division?

Yesss.


Are natural numbers closed under the operation of multiplicaton?

yes


Is set of numbers closed under natural and subtraction?

Please clarify what set you are talking about. There are several sets of numbers. Also, "closed under..." should be followed by an operation; "natural" is not an operation.


Why are natural numbers not under addition?

Natural numbers are actually closed under addition. If you add any two if them, the result will always be another natural number.


Is natural numbers a closed set under subtraction?

No.A set is closed under subtraction if when you subtract any two numbers in the set, the answer is always a member of the set.The natural numbers are 1,2,3,4, ... If you subtract 5 from 3 the answer is -2 which is not a natural number.


Are natural numbers closed under division?

No. Closed means that you could do the operation (division) on any two natural numbers and you would get a result in the natural numbers. Take 7/3 for example, this is obviously not a natural number.


Is there a subset of the natural numbers that is closed for addition?

Yes. The entire set of natural numbers is closed under addition (but not subtraction). So are the even numbers (but not the odd numbers), the multiples of 3, of 4, etc.