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How do you write $21,000$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Scientific notation

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Q. How do you write

21,000

in scientific notation?

\newline

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

Express in Scientific Notation: To write a number 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 to the left until we have a number between $1$ and $10$ . For $21,000$ , the decimal point is currently at the end of the number (after the last zero), so we move it to the right of the first digit, which is $2$ . This gives us $2.1$ . We count how many places we moved the decimal point to get from $21,000$ to $2.1$ . We moved it $10$ $0$ places to the left.
Move Decimal Point: Now we write $21,000$ as $2.1$ multiplied by $10$ raised to the power of the number of places we moved the decimal point, which is $4$ . So, $21,000$ in scientific notation is $2.1 \times 10^4$ .

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