To determine the sign of the product of \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \), we need to consider the signs of the individual factors.
- The fraction \( \frac{17}{32} \) is positive.
- The fraction \( -\frac{1}{10} \) is negative.
When you multiply a positive number by a negative number, the product is negative.
Therefore, the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \) is negative.