Question
Multiply in Scientific Notation Practice
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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)
$
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Answers
GPT-4o mini
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:
\[
\boxed{8.36 \times 10^{9}}
\]
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:
\[
\boxed{8.36 \times 10^{9}}
\]