To determine the sign of the product of \(-16.8 \times \frac{3}{7}\), we can analyze the signs of the individual components:
- \(-16.8\) is negative.
- \(\frac{3}{7}\) is positive because both 3 and 7 are positive numbers.
The product of a negative number and a positive number is negative. Therefore, the sign of the product \(-16.8 \times \frac{3}{7}\) is negative.