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How do you write $73,200$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

73,200

in scientific notation?

\newline

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

Find Coefficient: Determine the coefficient for $73,200$ in scientific notation. $\newline$ To find the coefficient, we need to move the decimal point to the left until we have a number that is at least $1$ but less than $10$ . $\newline$ $73,200$ becomes $7.32$ when we move the decimal point four places to the left. $\newline$ Coefficient: $7.32$
Determine Sign: Decide whether the exponent in scientific notation will be positive or negative. $\newline$ Since $73,200$ is greater than $10$ , the exponent in scientific notation will be positive.
Calculate Exponent: Calculate the exponent for $73,200$ in scientific notation. $\newline$ We moved the decimal point four places to the left to get the coefficient $7.32$ . $\newline$ Therefore, the exponent will be $4$ because $73,200 = 7.32 \times 10^4$ . $\newline$ Exponent: $4$
Write in Scientific Notation: Write $73,200$ in scientific notation using the coefficient and exponent. $\newline$ We have determined that the coefficient is $7.32$ and the exponent is $4$ . $\newline$ So, $73,200$ in scientific notation is $7.32 \times 10^4$ .

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