Question 1
The problem involves multiplying two negative numbers: \(-38\) and \(-123\).
Since both factors are negative, according to the rules of multiplication:
- If the signs of the factors are the same, the product is positive.
Response: Positive - If the signs of the factors are the same, the product is positive.
Question 2
Now let's determine the product of \(-38\) and \(-123\):
\(-38 \times -123 = 38 \times 123\) (since the product of two negative numbers is positive).
Calculating \(38 \times 123\):
\[ 38 \times 123 = 4674 \]
So, the product in simplest form is:
Response: 4674 (Note: This option was not listed in your given responses, but it is the correct answer).
If you need the result specifically in the format you provided, please clarify, and I can adjust accordingly.