To determine the sign of the product \( 1732 \times (-110) \), we can analyze the signs of the factors:
- \( 1732 \) is a positive number.
- \( -110 \) is a negative number.
When we multiply a positive number by a negative number, the product is negative.
Therefore, the sign of the product \( 1732 \times (-110) \) is negative.