The product of the two numbers is them multiplied together.
You get a product which is positive.
-- Their sum and difference both have the same sign that the two integers have. -- Their product and quotient are both positive.
yes
It follows from the definitions of the two operations.
For any two nonzero integers, the product and quotient will have the same sign because both operations depend on the signs of the integers involved. If both integers are positive or both are negative, their product is positive and their quotient is also positive. Conversely, if one integer is positive and the other is negative, their product is negative and their quotient is also negative. Thus, in both cases, the product and quotient share the same sign.
You get a product which is positive.
-- Their sum and difference both have the same sign that the two integers have. -- Their product and quotient are both positive.
True.
yes
It follows from the definitions of the two operations.
For any two nonzero integers, the product and quotient will have the same sign because both operations depend on the signs of the integers involved. If both integers are positive or both are negative, their product is positive and their quotient is also positive. Conversely, if one integer is positive and the other is negative, their product is negative and their quotient is also negative. Thus, in both cases, the product and quotient share the same sign.
Those are the rules of multiplication (and division).
One rule is that the product of two integers with unlike signs will have a minus sign for the product.
positive
negative
-- If the two integers have the same sign, their quotient is positive. -- If the two integers have different signs, their quotient is negative.
It is positive.