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How do you write $730$ in scientific notation? $\newline$ $\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}$

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Scientific notation

Full solution

Q. How do you write

730

in scientific notation?

\newline

\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}

Move Decimal Point: To write the number $730$ in scientific notation, we need to express it as a number between $1$ and $10$ multiplied by a power of $10$ . We do this by moving the decimal point in $730$ so that there is only one non-zero digit to the left of the decimal point.
Rewrite Number: The number $730$ can be rewritten as $7.30$ by moving the decimal point two places to the left. This gives us the number between $1$ and $10$ that we need for scientific notation.
Multiply by Power: Since we moved the decimal point two places to the left, we must multiply $7.30$ by $10$ raised to the power of $2$ to get back to the original number. This is because each move to the left increases the power of $10$ by $1$ .
Scientific Notation: Therefore, $730$ in scientific notation is written as $7.30 \times 10^2$ .

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