Multiply. Write your answer in scientific notation. (1 * 10^2)(8 * 10^1) ______

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

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Multiply. Write your answer in scientific notation. $\newline$ $(1 \times 10^2)(8 \times 10^1)$ $\newline$ ______

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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

(1 \times 10^2)(8 \times 10^1)

\newline

______

Identify Components: Identify the components of the multiplication problem. $\newline$ We have: $1 \times 10^2$ ( $8$ \times $10$ ^ $1$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $1$ and $8$ $\newline$ Power terms: $10^2$ and $10^1$
Multiply Coefficients: Multiply the coefficients. $\newline$ Calculate $1 \times 8$ . $\newline$ $1 \times 8 = 8$
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 $10^2 \times 10^1$ . $10^2 \times 10^1 = 10^{(2 + 1)} = 10^3$
Write Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $8$ $\newline$ Power term = $10^3$ $\newline$ Scientific notation: $8 \times 10^3$