For Question 1:
To determine the sign of the product of \(-38\) and \(-123\):
- Both numbers are negative.
- The rule is: When multiplying two numbers, if both factors have the same sign (either both positive or both negative), the product is positive.
Therefore, the correct response is: Positive - If the signs of the factors are the same, the product is positive.
For Question 2:
To find the product of \(-38\) and \(-123\):
\[ -38 \times -123 = 38 \times 123 \]
Now, let's calculate \(38 \times 123\):
\[ 38 \times 123 = 4674 \]
Thus, the product in simplest form is: 4674
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