Which of the following is a multiplication rule for integers?

The correct answer illustrates a fundamental property of multiplication involving integers. When you multiply a negative number by a positive number, the result is always a negative integer. This aligns with the rules of arithmetic that dictate the behavior of signs during multiplication: the product of a negative and a positive number results in a negative value.

Understanding this rule is essential for working with integers, as it helps establish a consistent approach to calculations involving different signs. In this case, the interaction between the negative number and the positive number leads to a negative output, reinforcing the importance of mastering the effects of multiplying different types of integers.

In contrast, other options either misstate the outcomes of certain operations involving negative and positive integers or describe scenarios that do not correctly follow established integer multiplication rules.