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 answer

To find the total cost of delivering all the pieces of 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

The calculation is as follows:

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

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

Now, multiply \(1.52\) by \(0.55\):

\[ 1.52 \times 0.55 = 0.836 \]

Next, since \(10^{10}\) remains the same, we have:

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

To express this in proper scientific notation, we need to adjust the coefficient. We can rewrite \(0.836\) as \(8.36 \times 10^{-1}\):

\[ 0.836 \times 10^{10} = 8.36 \times 10^{-1} \times 10^{10} \]

Adding the exponents gives us:

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

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

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