To determine the sign of the product \( 1732 \times (-110) \), we can analyze the signs of the numbers involved.
- \( 1732 \) is positive.
- \( -110 \) is negative.
When you multiply a positive number by a negative number, the result is always negative.
Therefore, the product \( 1732 \times (-110) \) is negative.
The correct response is: negative.