The Correct Answer and Explanation is:
Of course. Here is the correct answer and a detailed explanation.
The correct answer to the division problem (-104) ÷ (-8) is 13.
When you are asked to divide integers, there are two key parts to consider: the sign of the final answer and the numerical result of the division itself.
First, let’s determine the sign. There is a simple and consistent rule for multiplication and division of signed numbers. When the signs of the two numbers are the same (either both positive or both negative), the result is always positive. When the signs are different (one positive and one negative), the result is always negative. In this specific problem, we are dividing a negative number, -104, by another negative number, -8. Since both numbers share the same negative sign, we know our final answer will be a positive number.
After establishing that the result will be positive, we can focus on the calculation by dividing the absolute values of the numbers, which are 104 and 8. The problem now becomes a standard division: 104 ÷ 8.
We can solve this through long division or by breaking it down. To calculate 104 divided by 8, we can first ask how many times 8 fits into the first part of the number, 10. The number 8 fits into 10 one time (1 × 8 = 8), with a remainder of 2. We then carry that remainder over and combine it with the next digit, 4, to form the number 24. Next, we ask how many times 8 fits into 24. The answer is exactly three times, as 3 × 8 = 24. By combining the results from each step, the 1 and the 3, we get the final numerical answer of 13.
Therefore, by applying the rule of signs (negative divided by negative equals positive) and performing the arithmetic (104 divided by 8 equals 13), we arrive at the correct solution of 13.
