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)
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1 answer

To find the total cost to deliver 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 of each stamp: $0.55

We can calculate the total cost as follows:

\[ \text{Total Cost} = \text{Number of pieces of mail} \times \text{Cost of each stamp} \]

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

Now, let's perform the multiplication:

\[ 1.52 \times 0.55 = 0.836 \]

Next, we multiply this result by \(10^{10}\):

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

To express it in proper scientific notation, we can convert \(0.836\) to \(8.36\) and adjust the exponent on \(10\):

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

Thus, the total cost to deliver all the pieces in scientific notation is:

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