In a given year, about 1.52×10^10

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)
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1 answer

To calculate the total cost of delivering all pieces of first-class mail, we 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 per stamp = $0.55

Now, perform the multiplication:

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

First, calculate \( 1.52 \times 0.55 \):

\[ 1.52 \times 0.55 = 0.836 \]

Now, we need to account for the power of ten:

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

To express this in proper scientific notation, we convert \( 0.836 \) to \( 8.36 \) and decrease 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 first-class mail is:

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