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How do you write $41,600$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

41,600

in scientific notation?

\newline

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

Question Prompt: Question prompt: How do you write $41,600$ in scientific notation?
Find Coefficient: Determine the coefficient for $41,600$ 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 $10$ . $\newline$ Coefficient: $4.16$
Determine Exponent: Decide whether $41,600$ will have a positive or negative exponent in scientific notation. $\newline$ Since $41,600$ is greater than $10$ , it will have a positive exponent.
Calculate Exponent: Calculate the exponent for $41,600$ in scientific notation. $\newline$ We moved the decimal point $4$ places to the left to get the coefficient $4.16$ . $\newline$ $41,600 = 4.16 \times 10^4$ $\newline$ Exponent: $4$
Write in Scientific Notation: Write $41,600$ in scientific notation using the coefficient and exponent. $\newline$ Substitute $4.16$ for the coefficient and $4$ for the exponent in the expression $a \times 10^b$ . $\newline$ Scientific notation: $4.16 \times 10^4$

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