Multiply in Scientific Notation Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
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)
$
Remaining Attempts : 3
Skip to navigation

Answer 1

To find the total cost to deliver all the pieces of mail, you need to 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 piece of mail (stamp) = $0.55

Now, multiply these two values:

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

You can first multiply the decimal numbers:

\[ 1.52 \times 0.55 = 0.836 \]

Now, to include the \( 10^{10} \):

\[ 0.836 \times 10^{10} \]

To express \( 0.836 \) in proper scientific notation, we can write it as:

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

Now multiply this by \( 10^{10} \):

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

So the total cost to deliver all the pieces of mail in scientific notation is:

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