Question

In a given year, about 1.52×1010
pieces of first-class mail are delivered in the U.S. If each piece of mail carries a stamp costing $0.55, what is the total cost in dollars to deliver all the pieces? Write the answer in scientific notation, expressed to the exact decimal place.(1 point)
$
Remaining Attempts : 3

Answer 1

To find the total cost of delivering all the pieces of first-class mail, we need to multiply the number of pieces of mail by the cost of each stamp.

Given:
- The number of pieces of mail = \( 1.52 \times 10^{10} \)
- Cost of each stamp = \( 0.55 \) dollars

Now, we can calculate the total cost:

\[
\text{Total cost} = (\text{Number of pieces of mail}) \times (\text{Cost per stamp})
\]

\[
\text{Total cost} = (1.52 \times 10^{10}) \times (0.55)
\]

Now perform the multiplication:

\[
1.52 \times 0.55 = 0.836
\]

Next, we incorporate the scientific notation:

\[
\text{Total cost} = 0.836 \times 10^{10}
\]

To express this in proper scientific notation, we need to move the decimal point one place to the right, which will increase the exponent by 1:

\[
0.836 \times 10^{10} = 8.36 \times 10^{9}
\]

Thus, the total cost in dollars to deliver all the pieces of mail, expressed in scientific notation, is:

\[
\boxed{8.36 \times 10^{9}}
\]