Multiply. Write your answer in scientific notation. (7 * 10^2)(1 * 10^1) ______

Group Coefficients and Power Terms: We have: (7 × 10^2)(1 × 10^1) Group the coefficients and power terms together. Coefficients: 7 and 1 Power terms: 10^2 and 10^1Multiply Coefficients: What is 7 × 1? Multiply the coefficients. 7 × 1 = 7Combine Power Terms: Write 10^2 × 10^1 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^2 × 10^1 = 10^(2 + 1) = 10^3Write Final Answer: We found: Coefficient = 7 Power term = 10^3 Write the final answer in scientific notation. Substitute 7 for a and 3 for b in a × 10^b. Scientific notation: 7 × 10^3

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Multiply. Write your answer in scientific notation. $\newline$ $(7 \times 10^2)(1 \times 10^1)$ $\newline$ ______

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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

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

\newline

______

Group Coefficients and Power Terms: We have: $\newline$ $(7 \times 10^2)(1 \times 10^1)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $7$ and $1$ $\newline$ Power terms: $10^2$ and $10^1$
Multiply Coefficients: What is $7 \times 1$ ? Multiply the coefficients. $\newline$ $7 \times 1 = 7$
Combine Power Terms: Write $10^2 \times 10^1$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^2 \times 10^1$ $\newline$ $= 10^{(2 + 1)}$ $\newline$ $= 10^3$
Write Final Answer: We found: $\newline$ Coefficient = $7$ $\newline$ Power term = $10^3$ $\newline$ Write the final answer in scientific notation. Substitute $7$ for $a$ and $3$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $7 \times 10^3$