To determine the sign of the product of the two numbers \(-0.708\) and \(-6.24\), we can follow these rules of multiplication:
- A negative number multiplied by a negative number gives a positive result.
- A positive number multiplied by a positive number gives a positive result.
- A positive number multiplied by a negative number gives a negative result.
Since both numbers, \(-0.708\) and \(-6.24\), are negative, their product will be positive.
Therefore, the sign of the product \(-0.708 \times -6.24\) is positive.
The correct response is: positive.