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How do you write $570$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

570

in scientific notation?

\newline

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

Identify significant digit: Identify the most significant digit in the number $570$ . The most significant digit is $5$ because it is the first non-zero digit from the left.
Place decimal point: Place the decimal point after the most significant digit to create a number between $1$ and $10$ . By placing the decimal after the $5$ , we get $5.70$ , which is between $1$ and $10$ .
Count decimal point moves: Count the number of places the decimal point has been moved to get from the original number to the new number between $1$ and $10$ . The decimal point in $570$ is after the last zero, so it has been moved two places to the left to get $5.70$ .
Write as product: Write the number as a product of the number obtained in Step $2$ and $10$ raised to the power of the number of places the decimal point was moved. $\newline$ Since the decimal point was moved two places, we write $570$ as $5.70 \times 10^2$ .

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