To determine the sign of the product of \(1732 \times (-110)\), we need to consider the signs of the numbers involved.
- \(1732\) is a positive number.
- \(-110\) is a negative number.
When you multiply a positive number by a negative number, the product is always negative.
Thus, the product \(1732 \times (-110)\) is negative.
The answer is: negative.