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If you multiply a negative number with a positive number, the result will be negative. If you multiply two negatives, the result will be positive.

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Q: What can you conclude about multiplication with negative numbers?
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The rules of negative numbers?

If you are talking about the multiplication rules than they would be; a negative times a negative is a positive a negative times a positive is a negative


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.


Explain how you can find the sign of the product of two or more rational numbers?

Negative times negative equals positive. Positive times positive equals positive. Positive times negative equals negative. If you have more than two numbers, multiply the first two and then apply these rules to each successive number in turn.


What is 63 divided by negative 7?

9


Why is The product of a negative integer and a positive integer is always negative integer?

The rules for multiplying signed numbers may be formulated from the fact that multiplication serves as a shorthand notation for addition. For example, 4 x (−3), which means "4 times negative −3" is the same as the following: (-3) + (-3) + (-3) + (-3) = -12 Therefore, it follows that multiplication of a negative and positive number represents addition of negative numbers. This explanation with further content regarding mulitiplication of signed numbers may be referenced at: http://www.math.info/Arithmetic/Signed_Numbers_Mult