Determine the sign of the product of 17/32×-1/10

To determine the sign of the product, we need to multiply the two fractions: (17/32) × (-1/10). The sign of the product will be positive if the two fractions have the same sign, and negative if they have opposite signs.

17/32 is a positive fraction because the numerator (17) is positive and the denominator (32) is positive.

-1/10 is a negative fraction because the numerator (-1) is negative and the denominator (10) is positive.

Since the two fractions have opposite signs, the product of (17/32) × (-1/10) will be negative.

To determine the sign of the product of 17/32 × -1/10, we need to consider the signs of the individual fractions.

The fraction 17/32 is positive because both the numerator and the denominator are positive.

The fraction -1/10 is negative because one of the numerator and denominator is negative. In this case, it is the numerator (-1) that is negative.

When multiplying two fractions, the product will have the same sign if both fractions have the same sign, and it will have the opposite sign if the two fractions have different signs.

Since one fraction is positive and the other is negative, the product of 17/32 × -1/10 will have a negative sign.