To determine the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \), we can analyze the signs of the individual factors:
- \( \frac{17}{32} \) is positive.
- \( -\frac{1}{10} \) is negative.
The product of a positive number and a negative number is always negative.
Therefore, the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \) is negative.