8.

Question

Last year a large trucking company delivered 9.5 x 105 tons of goods with an average value of $20,000 per ton. What was the total value of the goods delivered? Write the answer in scientific notation.

1.9 x 1011 dollars

1.9 x 109 dollars

1.9 x 1012 dollars

1.9 x 1010 dollars

Answer 1

To determine the total value of the goods delivered by the trucking company, we need to multiply the total weight of the goods by the average value per ton. Here's the calculation:

1. **Total weight of the goods**: \(9.5 \times 10^5\) tons
2. **Average value per ton**: $20,000

First, let's express the average value per ton in scientific notation:
\[ 20,000 = 2 \times 10^4 \]

Now, we can perform the multiplication:
\[ (9.5 \times 10^5) \times (2 \times 10^4) \]

To multiply these, we multiply the coefficients (9.5 and 2) and add the exponents (5 and 4):

\[ 9.5 \times 2 = 19 \]
\[ 10^5 \times 10^4 = 10^{5+4} = 10^9 \]

Therefore:
\[ 19 \times 10^9 \]

In scientific notation, this is written as:
\[ 1.9 \times 10^{10} \]

So, the total value of the goods delivered is:
\[ \boxed{1.9 \times 10^{10}} \]

The correct answer is:
\[ 1.9 \times 10^{10} \text{ dollars} \]