Determine the sign of the product of 17/32×(-1/10)
A. Negative
B. The product has no sign
C. Both positive and negative
D. Positive
A. Negative
To determine the sign of the product, we need to consider the signs of the two factors.
The first factor is 17/32. Since 17 is positive and 32 is positive, the first factor is positive.
The second factor is -1/10. Since -1 is negative and 10 is positive, the second factor is negative.
To find the sign of the product, we multiply the signs of the two factors. Positive multiplied by negative gives us a negative value.
Therefore, the sign of the product of 17/32 × (-1/10) is A. Negative.
To determine the sign of the product of 17/32 × (-1/10), we need to apply the rules of multiplying positive and negative numbers.
When multiplying two fractions, you multiply the numerators together and the denominators together.
So, let's multiply the numerators: 17 × (-1) = -17
And let's multiply the denominators: 32 × 10 = 320
Putting it all together, we get -17/320.
Now, when you multiply a positive number by a negative number, the result is always negative. So the sign of the product -17/320 is "negative".
Therefore, the correct answer is A. Negative.