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

Identify Components: Identify the components of the multiplication problem. We have: (3 * 10^3)(1 * 10^1) Group the coefficients and power terms together. Coefficients: 3 and 1 Power terms: 10^3 and 10^1Multiply Coefficients: Multiply the coefficients. What is 3 * 1? 3 * 1 = 3Combine Power Terms: Combine the power terms into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^3 * 10^1 = 10^(3 + 1) = 10^4Write Final Answer: Write the final answer in scientific notation. We found: Coefficient = 3 Power term = 10^4 The final answer in scientific notation is 3 * 10^4.

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

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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 10^3)(1 \times 10^1)

\newline

______

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