The sign of the product of two integers depends on their signs. What is the product of a negative integer and a positive integer?

1. When multiplying two numbers, the result's sign depends on whether the two signs match or differ. 2. A negative number and a positive number have different signs, so their product is negative. 3. The product is only zero if one of the factors is zero, and multiplication of two real integers is always defined. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 3 "Integers", section 3.4 Multiply and Divide Integers_