Determine the sign of the product of 17/32×(−1/10) .(1 point)

Responses

positive
positive

both positive and negative
both positive and negative

negative
negative

The product has no sign.

1 answer

To determine the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \), we can analyze the signs of each factor in the product.

  1. \( \frac{17}{32} \) is positive (since it is a positive fraction).
  2. \( -\frac{1}{10} \) is negative.

When multiplying a positive number by a negative number, the result is negative. Therefore:

\[ \frac{17}{32} \times \left(-\frac{1}{10}\right) < 0 \]

Thus, the sign of the product is negative.