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) $

1 answer

To find the total cost of delivering all the pieces of first-class 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

Now, perform the multiplication:

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

Calculating \(1.52 \times 0.55\):

\[ 1.52 \times 0.55 = 0.836 \]

Now, since \(10^{10}\) is involved, we can write the total cost as:

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

To express it in proper scientific notation, we convert \(0.836\) to \(8.36\) and adjust the power of ten accordingly:

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

Therefore, the total cost in dollars to deliver all the pieces, expressed in scientific notation is:

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