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Question

Question 1
Consider the problem.

−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
15 over 24
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Answer 1

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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