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Multiply. Write your answer in scientific notation. $\newline$ $(4 \times 10^4)(1 \times 10^5)$ $\newline$ ______

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Multiply numbers written in scientific notation

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Q. Multiply. Write your answer in scientific notation.

\newline

(4 \times 10^4)(1 \times 10^5)

\newline

______

Identify Components: Identify the components of the multiplication problem. $\newline$ We have: $4 \times 10^4$ ( $1$ \times $10$ ^ $5$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $4$ and $1$ $\newline$ Power terms: $10^4$ and $10^5$
Multiply Coefficients: Multiply the coefficients. $\newline$ Calculate what is $4 \times 1$ . $\newline$ $4 \times 1 = 4$
Combine Power Terms: Combine the power terms into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $10^4 \times 10^5 = 10^{4 + 5} = 10^9$
Write Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $4$ $\newline$ Power term = $10^9$ $\newline$ Scientific notation: $4 \times 10^9$

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