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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.

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

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

It depends on the operation and values of the positive and negative. For example, in multiplication or division a positive and negative will be a negative. In addition or subtraction, it depends on the absolute value of the original numbers.

multiplication

It is multiplication

Multiplication.

Not by necessity, but multiplication and division aredefined for negative numbers.

l think multiplication

The numbers and the operation of multiplying is called a multiplication operation. The end result is called a product.

the same as all integer exponents, repeated multiplication the indicated number of times. Negative numbers when cubed yield negative numbers.

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.

No, it is not.

When you multiply any number by a negative number you reverse its sign. So positive numbers become negative, and negative numbers become positive. That is the meaning of negative multiplication; it is reversal. This is similar to the way that adding a negative number has the same effect as subtracting a positive number. Negative is the opposite of positive.

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