And they given year about 1.52×10 power of 10 pieces of first-class mail are delivered in the US if each piece of mail carriers 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 first-class mail, we can use the formula:

\[ \text{Total Cost} = \text{Number of Pieces} \times \text{Cost per Piece} \]

Given:

  • Number of pieces of mail = \( 1.52 \times 10^{10} \)
  • Cost per piece = \( 0.55 \) dollars

Now, we can calculate the total cost:

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

Now, we will perform the multiplication:

\[ 1.52 \times 0.55 = 0.836 \]

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

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

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

\[ 0.836 \times 10^{10} = 8.36 \times 10^{-1} \times 10^{10} = 8.36 \times 10^{9} \]

So, the total cost in scientific notation is:

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