Final answer:
The quotient of (-72) ÷ (-9) ÷ 2 is calculated by first dividing -72 by -9 to get +8, and then dividing +8 by 2 to result in 4.
Step-by-step explanation:
When calculating the quotient of (-72) ÷ (-9) ÷ 2, we can address the division in two steps:
- Divide -72 by -9. According to the multiplication and division rules regarding signs, when two negative numbers are divided, the answer has a positive sign. So (-72) ÷ (-9) equals +8 because 72 ÷ 9 = 8.
- Now, divide the result by 2. We then take the positive 8 and divide it by 2 yielding a result of 4.
The correct answer is 4, which corresponds to option 2).