Multiply. Write your answer in scientific notation. (3 * 10^5)(2 * 10^3) ______

Identify Numbers: Identify the numbers to be multiplied. We have: (3 * 10^5)(2 * 10^3) Group the coefficients and power terms together. Coefficients: 3 and 2 Power terms: 10^5 and 10^3Multiply Coefficients: Multiply the coefficients. What is 3 × 2? Multiply the coefficients. 3 × 2 = 6Combine Power Terms: Combine the power terms into a single power of 10. Write 10^5 × 10^3 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^5 × 10^3 = 10^(5 + 3) = 10^8Final Answer: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 6 Power term = 10^8 Scientific notation: 6 × 10^8

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Multiply. Write your answer in scientific notation. $\newline$ $(3 \times 10^5)(2 \times 10^3)$ $\newline$ ______

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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

(3 \times 10^5)(2 \times 10^3)

\newline

______

Identify Numbers: Identify the numbers to be multiplied. $\newline$ We have: $3 \times 10^5$ ( $2$ \times $10$ ^ $3$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $2$ $\newline$ Power terms: $10^5$ and $10^3$
Multiply Coefficients: Multiply the coefficients. $\newline$ What is $3 \times 2$ ? Multiply the coefficients. $\newline$ $3 \times 2 = 6$
Combine Power Terms: Combine the power terms into a single power of $10$ . $\newline$ Write $10^5 \times 10^3$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^5 \times 10^3$ $\newline$ $= 10^{5 + 3}$ $\newline$ $= 10^8$
Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $6$ $\newline$ Power term = $10^8$ $\newline$ Scientific notation: $6 \times 10^8$