To determine the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \):
- \( \frac{17}{32} \) is a positive fraction.
- \( -\frac{1}{10} \) is a negative fraction.
When you multiply a positive number by a negative number, the result is negative.
Therefore, the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \) is negative.