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How do you write $882$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Scientific notation

Full solution

Q. How do you write

882

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 in the number to the left until only one non-zero digit remains to the left of the decimal point. The number of places we move the decimal point will be the exponent of $10$ .
Move Decimal Point: The number $882$ can be rewritten with the decimal point after the first non-zero digit, which is $8$ . So we move the decimal point two places to the left, which gives us $8.82$ .
Determine Exponent: Since we moved the decimal point two places to the left, the exponent of $10$ will be $2$ . Therefore, $882$ in scientific notation is written as $8.82 \times 10^2$ .

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