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How do you write $78,900$ in scientific notation? $\newline$ $\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

78,900

in scientific notation?

\newline

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

Find Coefficient: Determine the coefficient for $78,900$ in scientific notation. $\newline$ To find the coefficient, we need to move the decimal point to the left until we have a number between $1$ and $10$ . $\newline$ $78,900$ becomes $7.89$ when we move the decimal point $4$ places to the left. $\newline$ Coefficient: $7.89$
Determine Sign: Decide whether the exponent in scientific notation will be positive or negative. $\newline$ Since $78,900$ is greater than $10$ , the exponent in scientific notation will be positive.
Calculate Exponent: Determine the exponent for $78,900$ in scientific notation. $\newline$ We moved the decimal point $4$ places to the left to get the coefficient $7.89$ . $\newline$ Therefore, $78,900 = 7.89 \times 10^4$ $\newline$ Exponent: $4$
Write in Scientific Notation: Write $78,900$ in scientific notation using the coefficient and exponent. $\newline$ Substitute $7.89$ for the coefficient and $4$ for the exponent in the form $a \times 10^b$ . $\newline$ Scientific notation: $7.89 \times 10^4$

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