Multiply. Write your answer in scientific notation. (1 * 10^1)(2 * 10^2) ______

Group Terms: We have the expression (1 * 10^1)(2 * 10^2). First, we need to group the coefficients and the power terms together. Coefficients: 1 and 2 Power terms: 10^1 and 10^2Multiply Coefficients: Multiply the coefficients together. 1 * 2 = 2Multiply Power Terms: Multiply the power terms together. When multiplying powers with the same base, we add the exponents. 10^1 * 10^2 = 10^(1 + 2) = 10^3Combine Results: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 2 Power term = 10^3 Scientific notation: 2 * 10^3

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Multiply. Write your answer in scientific notation. $\newline$ $(1 \times 10^1)(2 \times 10^2)$ $\newline$ ______

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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 10^1)(2 \times 10^2)

\newline

______

Group Terms: We have the expression $1 \times 10^1$ $(2 \times 10^2)$ . First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $1$ and $2$ $\newline$ Power terms: $10^1$ and $10^2$
Multiply Coefficients: Multiply the coefficients together. $1 \times 2 = 2$
Multiply Power Terms: Multiply the power terms together. When multiplying powers with the same base, we add the exponents. $\newline$ $10^1 \times 10^2 = 10^{(1 + 2)} = 10^3$
Combine Results: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $2$ $\newline$ Power term = $10^3$ $\newline$ Scientific notation: $2 \times 10^3$