Video Transcript
Which of the following has a quotient of negative eight? Is it (A) 80 divided by eight, (B) 80 divided by 10, (C) negative 80 divided by 10, (D) negative 80 divided by eight, or (E) negative 80 divided by negative eight?
The quotient is the answer to a division calculation, where the number before the division sign is the dividend and the number after is the divisor. We recall that dividing two positive numbers gives a positive answer. Dividing a positive number by a negative or a negative number by a positive gives us a negative answer. Finally, dividing two negative numbers gives a positive answer.
In this question, we want an answer or quotient of negative eight. Using these rules of dividing positive and negative numbers, we can immediately rule out options (A), (B), and (E), as (A) and (B) have two positive numbers, whereas (E) has two negative numbers. Negative 80 divided by 10 is equal to negative eight, as there are eight 10s in 80. Negative 80 divided by eight, on the other hand, is equal to negative 10.
This means that the correct answer is option (C). Negative 80 divided by 10 has a quotient of negative eight. The incorrect answers for options (A), (B), and (E) were 10, eight, and 10, respectively.
