Question Video: Multiplication of Negative Integer Numbers

The product of a negative integer and a positive integer is a _ integer.

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Video Transcript

The product of a negative integer and a positive integer is a what integer.

We remember, of course, that the product of two numbers is the result we get when we multiply those two numbers together. Here, we’re finding the product of a negative integer and a positive integer and that the introduction of a negative symbol in a multiplication problem changes the direction in which we move along the number line. Since we know that a positive number multiplied by another positive number gives us a positive result, when we multiply a negative by a positive number, we change the direction. Instead of moving up the number line, we move down the number line. And we see that gives us a negative result.

Of course, we can do this in any order; multiplication is commutative. A positive times a negative gives us another negative. And so, the product of a negative integer and a positive integer is a negative integer.

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