How do you write 78,900 in scientific notation? _____ × 10^_____

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

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

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Grade 8

Convert between standard and scientific notation

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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: $7.89 \times 10^4$