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How do you write $475$ in scientific notation? $\newline$ $\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

475

in scientific notation?

\newline

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

Identify most significant digit: Identify the most significant digit in $475$ . The most significant digit is $4$ 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 $4$ , we get $4.75$ .
Count decimal point movement: Count the number of places the decimal point has moved from its original position to its new position. $\newline$ The decimal point has moved $2$ places to the left to get from $475$ to $4.75$ .
Write number as product: Write the number as a product of the number found in Step $2$ and $10$ raised to the power of the number of places the decimal point moved. $\newline$ Since the decimal point moved $2$ places, we write $475$ as $4.75 \times 10^2$ .

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