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