To determine the sign of the product \(\frac{17}{32} \times \left(-\frac{1}{10}\right)\), we look at the signs of the individual factors.
- \(\frac{17}{32}\) is positive (since both the numerator and denominator are positive).
- \(-\frac{1}{10}\) is negative.
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.
In conclusion, the sign of the product is negative.