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How do you write $3.17 \times 10^2$ in standard form? $\newline$ _____

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Scientific notation

Full solution

Q. How do you write

3.17 \times 10^2

in standard form?

\newline

_____

Move Decimal Two Places: To write the number $3.17 \times 10^2$ in standard form, we need to move the decimal point in $3.17$ two places to the right, because the exponent on $10$ is $2$ . This is because ＂ $\times 10^2$ ＂ means ＂times $100$ ＂.
Multiply by Powers of $10$ : Moving the decimal point two places to the right in $3.17$ gives us $317$ . This is because each power of $10$ we multiply by shifts the decimal point one place to the right.
Final Standard Form: Therefore, $3.17 \times 10^2$ in standard form is $317$ .

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