To determine the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \), we can analyze the signs of the numbers involved in the multiplication.
- \( \frac{17}{32} \) is a positive number.
- \( -\frac{1}{10} \) is a negative number.
When you multiply a positive number by a negative number, the result is always negative.
Therefore, the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \) is negative.