Determine the sign of the product of 17/32×(- 1/10)
To determine the sign of the product of two fractions, we need to consider the signs separately.
The fraction 17/32 is positive because both the numerator and denominator are positive.
The fraction -1/10 is negative because the numerator is negative and the denominator is positive.
When we multiply a positive number by a negative number, the product is always negative.
Therefore, the sign of the product of 17/32 × (- 1/10) is negative.
To determine the sign of the product (17/32) * (-1/10), you need to follow these steps:
Step 1: Multiply the numerators: 17 * (-1) = -17.
Step 2: Multiply the denominators: 32 * 10 = 320.
Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 8: -17/8 divided by 320/8... that gives you -17/320.
The sign of the product is negative (-) because we multiplied a positive number (17/32) by a negative number (-1/10). Therefore, the sign of the product (17/32) * (-1/10) is negative.