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Q: Why is the set of negative real numbers not closed under multiplication?
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Is the set of negative integers closed under multiplication real numbers?

No, it is not.


Is this set of negative numbers closed under multiplication or addition?

Yes. The empty set is closed under the two operations.


What is the set of whole numbers closed by?

If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.


Is the set of all negative numbers closed under the operation of multiplication explain why or why?

No.When you multiply two negative numbers together, you do not get a negative number as the answer.


Are negative integers closed under multiplication?

No.


Is the set of all negative numbers closed under the operation of multiplication Explain why or why not?

No. For a set to be closed with respect to an operation, the result of applying the operation to any elements of the set also must be in the set. The set of negative numbers is not closed under multiplication because, for example (-1)*(-2)=2. In that example, we multiplied two numbers that were in the set (negative numbers) and the product was not in the set (it is a positive number). On the other hand, the set of all negative numbers is closed under the operation of addition because the sum of any two negative numbers is a negatoive number.


Are the prime numbers closed under multiplication?

No.


Are rational numbers closed under division multiplication addition or subtraction?

Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.


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.


Are the rational numbers closed under multiplication?

Yes.


Are natural numbers closed under multiplication?

Yes.