Multiply. Write your answer in scientific notation. (1 * 10^5)(9 * 10^3) ______

Identify Components: Identify the components of the multiplication problem. We have: (1 × 10^5)(9 × 10^3) Group the coefficients and power terms together. Coefficients: 1 and 9 Power terms: 10^5 and 10^3Multiply Coefficients: Multiply the coefficients. Calculate 1 × 9. 1 × 9 = 9Combine Power Terms: Combine the power terms into a single power of 10. When multiplying powers with the same base, we add the exponents. Calculate 10^5 × 10^3. 10^5 × 10^3 = 10^(5 + 3) = 10^8Write Final Answer: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 9 Power term = 10^8 Scientific notation: 9 × 10^8

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Multiply. Write your answer in scientific notation. $\newline$ $(1 \times 10^5)(9 \times 10^3)$ $\newline$ ______

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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 10^5)(9 \times 10^3)

\newline

______

Identify Components: Identify the components of the multiplication problem. $\newline$ We have: $1 \times 10^5$ ( $9$ \times $10$ ^ $3$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $1$ and $9$ $\newline$ Power terms: $10^5$ and $10^3$
Multiply Coefficients: Multiply the coefficients. $\newline$ Calculate $1 \times 9$ . $\newline$ $1 \times 9 = 9$
Combine Power Terms: Combine the power terms into a single power of $10$ . When multiplying powers with the same base, we add the exponents. Calculate $10^5 \times 10^3$ . $10^5 \times 10^3 = 10^{(5 + 3)} = 10^8$
Write Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $9$ $\newline$ Power term = $10^8$ $\newline$ Scientific notation: $9 \times 10^8$