What is the quotient of −920 divided by 40? Which integer rule determines the sign of the quotient?
Responses
A 23; The quotient of integers with unlike signs is positive.23; The quotient of integers with unlike signs is positive.
B −23; The quotient of integers with unlike signs is negative. −23; The quotient of integers with unlike signs is negative.
C 23; The sign of the quotient of integers with unlike signs is the sign of the number with the greater value.23; The sign of the quotient of integers with unlike signs is the sign of the number with the greater value.
D −23; The sign of the quotient of integers with unlike signs is the sign of the number with the greater absolute value.−23; The sign of the quotient of integers with unlike signs is the sign of the number with the greater absolute value.
The quotient of −920 divided by 40 is −23. The integer rule that determines the sign of the quotient is that the sign of the quotient of integers with unlike signs is negative. Therefore, the correct answer is B: −23; The quotient of integers with unlike signs is negative.
To find the quotient of -920 divided by 40, we divide -920 by 40. The result is -23. Therefore, the correct answer is:
B) -23; The quotient of integers with unlike signs is negative.
The quotient of −920 divided by 40 is −23.
To determine the sign of the quotient, you need to remember the integer rule that states: "The quotient of integers with unlike signs is negative." This means that when dividing two integers with different signs, the resulting quotient will always be negative.
In this case, −920 divided by 40 gives us a negative quotient because −920 and 40 have unlike signs: one is negative and the other is positive. Therefore, the answer is option B: −23; The quotient of integers with unlike signs is negative.