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Type the number \( 3.14 \times 10^{3} \) in standard notation. Express your answer using standard notation. View Available Hint(s) \( 3.14 \times 10^{3}= \) Submit \( \quad \) Previous Answers

Ask by Deleon Herrera. in the United States
Jan 24,2025

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Answer

\( 3.14 \times 10^{3} = 3140 \)

Solution

\( 3.14 \times 10^{3} = 3140 \)

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The Deep Dive

To convert \( 3.14 \times 10^{3} \) into standard notation, you move the decimal point in \( 3.14 \) three places to the right due to the exponent being 3. This gives you \( 3140 \). So, \( 3.14 \times 10^{3} \) in standard notation is \( 3140 \). Keep in mind that moving the decimal to the right means adding zeros if you exceed the original number of digits. So, if the exponent were negative, you would move it to the left and end up with a smaller number, possibly involving decimal places!

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