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How do you write $406,000$ in scientific notation? $\newline$ $\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

406,000

in scientific notation?

\newline

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

Identify Significant Digit: Identify the most significant digit in the number. $\newline$ The most significant digit in $406,000$ is $4$ .
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 $4.06$ .
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 $5$ places to the left to get from $406,000$ to $4.06$ .
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 $5$ places, we write the number as $4.06 \times 10^5$ .

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