In a given year, about 1.52 x 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)

$

1 answer

To find the total cost of delivering all the pieces of mail, you can multiply the number of pieces of mail by the cost of each stamp.

Given:

  • Number of pieces of mail = \( 1.52 \times 10^{10} \)
  • Cost of each stamp = \( 0.55 \) dollars

Now, calculate the total cost:

\[ \text{Total Cost} = \text{Number of pieces of mail} \times \text{Cost per piece} \]

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

Calculating \( 1.52 \times 0.55 \):

\[ 1.52 \times 0.55 = 0.836 \]

Now, we can adjust the scientific notation:

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

So, the total cost in dollars to deliver all the pieces of mail is:

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

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