Determine the sign of the product of 17/32×(−1/10)

Answer 1

To determine the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \), we can analyze the signs of the individual factors in the product.

1. The fraction \( \frac{17}{32} \) is positive because both the numerator (17) and the denominator (32) are positive numbers.
2. The fraction \( -\frac{1}{10} \) is negative because of the negative sign in front.

Now, when we multiply a positive number by a negative number, the result is always negative.

Therefore, the sign of the product \( \frac{17}{32} \times \left(-\frac{1}{10}\right) \) is negative.