Determine the sign of the product of 17 3/2×(−1 1/0).
To determine the sign of the product, we need to multiply the two numbers. First, we convert the mixed numbers to improper fractions:
17 3/2 = 17 + 3/2 = 17(2/2) + 3/2 = 34/2 + 3/2 = 37/2
-1 1/0 = -1 + 1/0 = -1
Now we can multiply the two numbers:
(37/2) * (-1) = -(37/2)
Since the product is negative, the sign of the product is negative.
To determine the sign of the product, we need to consider the signs of the factors involved. Here are the steps:
Step 1: Convert the mixed numbers into improper fractions.
17 3/2 can be written as (2 * 17 + 3)/2 = 37/2.
Step 2: Determine the sign of each factor.
The first factor, 37/2, is positive because it is greater than zero.
The second factor, -1 1/0, is negative because it has a negative sign.
Step 3: Multiply the two factors.
37/2 * (-1 1/0) = (37/2) * (-1) * (1/0).
Now, let's consider the multiplication of a number by positive infinity, which is undefined. So, the sign of the product is undefined, and we cannot determine whether it is positive or negative.