Consider the problem.

Question

−38×−123


Determine the sign of the product.

(1 point)
Responses

Positive - If the signs of the factors are the same, the product is positive.
Positive - If the signs of the factors are the same, the product is positive.

Negative - If the signs of the factors are negative, the product is negative.
Negative - If the signs of the factors are negative, the product is negative.
Question 2
Determine the product in simplest form.

−38×−123

(1 point)
Responses

−58
negative 5 eighths

58
5 eighths

940
9 over 40

1524

Answer 1

To determine the sign of the product \(-38 \times -123\):

1. Both factors are negative.
2. The rule of signs states that the product of two negatives is positive.

Therefore, the answer to the first question is:

Positive - If the signs of the factors are the same, the product is positive.

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Now, let's determine the product in simplest form:

\[ -38 \times -123 = 38 \times 123 \]

Calculating \(38 \times 123\):

\[ 38 \times 123 = 4674 \]

So, the product in simplest form is:

4674

Since this option is not listed in your provided responses, it appears there may be an error in the options given for the product calculation. If you meant \(1524\) as an option, it might be a typographical error, as the correct calculation yields \(4674\).