inal answer:
The quotient of -12 divided by 3 is -4. This result is obtained by dividing the absolute value of -12 by 3 and then applying the rule that dividing a negative by a positive yields a negative answer.
Step-by-step explanation:
The question asks us to find the quotient of -12 divided by 3. According to the rules for division by numbers with opposite signs, the quotient will have a negative sign since the dividend (-12) and divisor (3) have opposite signs. To find the quotient, you simply divide 12 by 3 and then apply the negative sign.
The calculation is as follows:
- Divide the absolute value of -12 by 3, which gives us 4.
- Apply the negative sign, because when dividing a negative number by a positive number, the result is negative.
- Therefore, the quotient of -12 / 3 is -4.
This is in line with the rule that when a negative number is divided by a positive number, the answer has a negative sign.