Question When multiplying two rational numbers, how is the sign of the product determined?(1 point) Responses The product is positive if the signs of the factors are the same. The product is positive if the signs of the factors are the same. The product is negative if the signs of the factors are the same. The product is negative if the signs of the factors are the same. The sign of the product is always the same as the larger factor. The sign of the product is always the same as the larger factor. The sign of the product is always the same as the smaller factor.

1 answer

The correct response is: The product is positive if the signs of the factors are the same. The product is negative if the signs of the factors are different.

This means if both factors are positive or both are negative, the product is positive. If one factor is positive and the other is negative, the product is negative. However, this specific response is not among the options you provided, but it captures the correct principle regarding the multiplication of rational numbers.