In a given year, about 1.52×1010pieces 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 answer

To find the total cost to deliver all the pieces of mail, we need to multiply the number of pieces of mail by the cost of each stamp.

The number of pieces of mail is given as \( 1.52 \times 10^{10} \) and the cost of each stamp is \( 0.55 \).

Calculating the total cost:

\[ \text{Total Cost} = \text{Number of Pieces} \times \text{Cost Per Piece} \] \[ \text{Total Cost} = (1.52 \times 10^{10}) \times (0.55) \]

Calculating \( 1.52 \times 0.55 \):

\[ 1.52 \times 0.55 = 0.836 \]

Now, since we're multiplying by \( 10^{10} \), we adjust our total cost:

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

To express \( 0.836 \) in scientific notation, we can write it as \( 8.36 \times 10^{-1} \):

\[ \text{Total Cost} = 8.36 \times 10^{-1} \times 10^{10} = 8.36 \times 10^{9} \]

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

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