What is the quotient of −920 divided by 40? Which integer rule determines the sign of the quotient?
Responses
The quotient of -920 divided by 40 is -23.
The integer rule that determines the sign of the quotient is the rule that states "when dividing two integers with different signs, the quotient is negative." In this case, -920 is negative and 40 is positive, so the quotient is negative.
To find the quotient of −920 divided by 40, you can divide the absolute values of the numbers and then determine the sign of the quotient.
1. Divide the absolute values: |−920| ÷ |40| = 920 ÷ 40 = 23.
2. Determine the sign of the quotient: Since the dividend −920 is negative and the divisor 40 is positive, according to the integer rule, when dividing two numbers with different signs, the quotient will be negative.
Therefore, the quotient of −920 divided by 40 is -23.
To find the quotient of -920 divided by 40, you need to divide -920 by 40.
To do this, you can use long division or a calculator:
Dividing -920 by 40 using long division:
-23
__________
40 │ -920
- 800
_______
-120
______
0
The quotient is -23.
The integer rule that determines the sign of the quotient is the rule for dividing two integers with different signs. In this case, since one number (-920) is negative and the other number (40) is positive, the quotient will be negative. So, the negative sign is determined by the rule for dividing integers with opposite signs, which states that the quotient will be negative.