Question

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.

Answer 1

To determine the sign of the product of -38 and -123, we need to look at the signs of the factors:

- The first factor, -38, is negative.
- The second factor, -123, is also negative.

According to the rules of multiplication:

- If the signs of the factors are the same (both positive or both negative), the product is positive.
- If the signs of the factors are different (one positive and one negative), the product is negative.

Since both factors are negative in this case (-38 and -123), their signs are the same. Therefore, the product will be positive.

So, the correct response is:

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