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What is the quotient of
8.91 ×10^(5) and
9.9 ×10^(2) expressed in scientific notation?
Answer:

What is the quotient of $8.91 \times 10^{5}$ and $9.9 \times 10^{2}$ expressed in scientific notation? $\newline$ Answer:

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Convert between fractions and repeating decimals

Full solution

Q. What is the quotient of

8.91 \times 10^{5}

and

9.9 \times 10^{2}

expressed in scientific notation?

\newline

Answer:

Write Numbers in Scientific Notation: Write down the numbers that need to be divided in scientific notation. $8.91 \times 10^5$ and $9.9 \times 10^2$
Divide Coefficients and Exponents: Divide the coefficients (the numbers in front of the powers of $10$ ) and subtract the exponents. $\newline$ $(8.91 \div 9.9) \times 10^{(5 - 2)}$
Perform Coefficient Division: Perform the division of the coefficients. $8.91 \div 9.9 \approx 0.9$
Subtract Exponents: Subtract the exponents. $\newline$ $10^{5 - 2} = 10^3$
Combine Results in Scientific Notation: Combine the results of the division of coefficients and the subtraction of exponents to express the quotient in scientific notation. $0.9 \times 10^3$

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