Multiply. Write your answer in scientific notation. (1 * 10^4)(4 * 10^5) ______

Identify Components: Identify the components of the multiplication problem. We have: (1 * 10^4)(4 * 10^5) Group the coefficients and power terms together. Coefficients: 1 and 4 Power terms: 10^4 and 10^5Multiply Coefficients: Multiply the coefficients. What is 1 × 4? 1 × 4 = 4Combine 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 × 10^5 = 10^(4 + 5) = 10^9Write in Scientific Notation: Write the final answer in scientific notation. We found: Coefficient = 4 Power term = 10^9 Combine them to write the answer in scientific notation. Scientific notation: 4 × 10^9

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

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Algebra 1

Multiply numbers written in scientific notation

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Q. Multiply. Write your answer in scientific notation.

\newline

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

\newline

______

Identify Components: Identify the components of the multiplication problem. $\newline$ We have: $1 \times 10^4$ ( $4$ \times $10$ ^ $5$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $1$ and $4$ $\newline$ Power terms: $10^4$ and $10^5$
Multiply Coefficients: Multiply the coefficients. $\newline$ What is $1 \times 4$ ? $\newline$ $1 \times 4 = 4$
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 in Scientific Notation: Write the final answer in scientific notation. $\newline$ We found: $\newline$ Coefficient = $4$ $\newline$ Power term = $10^9$ $\newline$ Combine them to write the answer in scientific notation. $\newline$ Scientific notation: $4 \times 10^9$