Write the answer in proper scientific notation: (9×10^(7))/(4000)

Identify Numbers: Identify the numbers involved and their current form. We have the numerator 9×10^(7) and the denominator 4000. We need to divide these numbers to simplify the expression.Convert Denominator: Convert the denominator into a power of 10 to facilitate division in scientific notation. 4000 can be written as 4×10^3 because 4000 = 4×1000 and 1000 is 10^3.Rewrite as Fraction: Rewrite the division as a fraction with both numerator and denominator in scientific notation. (9×10^(7)) / (4×10^3)Divide and Subtract: Divide the coefficients (9/4) and subtract the exponents of 10 (7-3). The coefficient division gives us 2.25, and subtracting the exponents gives us 10^(7-3) = 10^4.Express in Notation: Express the result in proper scientific notation. 2.25×10^4 is already in proper scientific notation, as the coefficient is between 1 and 10.

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Write the answer in proper scientific notation:
(9×10^(7))/(4000)

Write the answer in proper scientific notation: $\newline$ $\frac{9 \times 10^{7}}{4000}$

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Algebra 2

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Q. Write the answer in proper scientific notation:

\newline

\frac{9 \times 10^{7}}{4000}

Identify Numbers: Identify the numbers involved and their current form. $\newline$ We have the numerator $9\times10^{7}$ and the denominator $4000$ . We need to divide these numbers to simplify the expression.
Convert Denominator: Convert the denominator into a power of $10$ to facilitate division in scientific notation. $\newline$ $4000$ can be written as $4\times10^3$ because $4000 = 4\times1000$ and $1000$ is $10^3$ .
Rewrite as Fraction: Rewrite the division as a fraction with both numerator and denominator in scientific notation. $\newline$ $(9\times10^{7}) / (4\times10^3)$
Divide and Subtract: Divide the coefficients $\frac{9}{4}$ and subtract the exponents of $10$ $(7-3)$ . The coefficient division gives us $2.25$ , and subtracting the exponents gives us $10^{(7-3)} = 10^4$ .
Express in Notation: Express the result in proper scientific notation. $\newline$ $2.25\times10^4$ is already in proper scientific notation, as the coefficient is between $1$ and $10$ .