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What is the quotient of
8.0 ×10^(9) and
8.0 ×10^(2) expressed in scientific notation?
Answer:

What is the quotient of $8.0 \times 10^{9}$ and $8.0 \times 10^{2}$ expressed in scientific notation? $\newline$ Answer:

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Least common multiple

Full solution

Q. What is the quotient of

8.0 \times 10^{9}

and

8.0 \times 10^{2}

expressed in scientific notation?

\newline

Answer:

Write in Scientific Notation: Write down the numbers in scientific notation. $\newline$ We have $8.0 \times 10^9$ and $8.0 \times 10^2$ .
Divide Coefficients: Divide the coefficients (the numbers in front of the powers of $10$ ). $\newline$ Divide $8.0$ by $8.0$ , which equals $1$ . $\newline$ $8.0 \div 8.0 = 1$
Subtract Exponents: Subtract the exponents of the powers of $10$ . Subtract the exponent of the denominator ( $2$ ) from the exponent of the numerator ( $9$ ). $10^9 \div 10^2 = 10^{9-2} = 10^7$
Combine Results: Combine the results of Step $2$ and Step $3$ to express the quotient in scientific notation. $\newline$ The quotient is $1 \times 10^7$ .

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