Determine whether the sign of the product or quotient is positive or negative.
Part A
the quotient of two negative integers
A.
positive
B.
negative
Part B
the product of an integer and its opposite
A.
positive
B.
negative
To determine whether the sign of a product or quotient is positive or negative, you can use the following rules:
- The product of two numbers with the same sign (both positive or both negative) is positive.
- The product of two numbers with different signs (one positive and one negative) is negative.
- The quotient of two numbers with the same sign is positive.
- The quotient of two numbers with different signs is negative.
Part A: The quotient of two negative integers.
Since both integers are negative, they have the same sign. Therefore, the quotient of two negative integers is positive. The answer is A. (positive)
Part B: The product of an integer and its opposite.
An integer and its opposite have different signs. Therefore, the product of an integer and its opposite is negative. The answer is B. (negative)