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Multiply. Write your answer in scientific notation. $\newline$ $(7 \times 10^5)(1 \times 10^2)$ $\newline$ ______

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Multiply numbers written in scientific notation

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Q. Multiply. Write your answer in scientific notation.

\newline

(7 \times 10^5)(1 \times 10^2)

\newline

______

Identify Numbers: Identify the numbers to be multiplied. $\newline$ We have: $7 \times 10^5$ ( $1$ \times $10$ ^ $2$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $7$ and $1$ $\newline$ Power terms: $10^5$ and $10^2$
Multiply Coefficients: Multiply the coefficients. $\newline$ What is $7 \times 1$ ? $\newline$ $7 \times 1 = 7$
Combine Power Terms: Combine the power terms into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $10^5 \times 10^2 = 10^{5 + 2} = 10^7$
Write Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $7$ $\newline$ Power term = $10^7$ $\newline$ Scientific notation: $7 \times 10^7$

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