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How do you write $481$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Scientific notation

Full solution

Q. How do you write

481

in scientific notation?

\newline

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

Move Decimal Point: To write the number $481$ 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 $481$ so that it is after the first non-zero digit.
Rewrite Number: The number $481$ can be rewritten as $4.81$ by moving the decimal point two places to the left. This is because $481$ is the same as $481.0$ , and we can move the decimal point without changing the value of the number as long as we account for this shift by using a power of $10$ .
Apply Power of $10$ : Since we moved the decimal point two places to the left, we must multiply $4.81$ by $10$ raised to the power of $2$ to get the original number back. This gives us the scientific notation of $481$ .
Final Scientific Notation: Therefore, $481$ in scientific notation is written as $4.81 \times 10^2$ .

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