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.
