Multiply. Write your answer in scientific notation. (8 * 10^2)(1 * 10^5) ______

Identify Components: Identify the components of the multiplication problem. We have: (8 * 10^2)(1 * 10^5) Group the coefficients and power terms together. Coefficients: 8 and 1 Power terms: 10^2 and 10^5Multiply Coefficients: Multiply the coefficients. What is 8 × 1? Multiply the coefficients. 8 × 1 = 8Combine Power Terms: Combine the power terms into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^2 × 10^5 = 10^(2 + 5) = 10^7Write Final Answer: Write the final answer in scientific notation. We found: Coefficient = 8 Power term = 10^7 Write the final answer in scientific notation. Substitute 8 for a and 7 for b in a × 10^b. Scientific notation: 8 × 10^7

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Multiply. Write your answer in scientific notation. $\newline$ $(8 \times 10^2)(1 \times 10^5)$ $\newline$ ______

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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

(8 \times 10^2)(1 \times 10^5)

\newline

______

Identify Components: Identify the components of the multiplication problem. $\newline$ We have: $8 \times 10^2$ ( $1$ \times $10$ ^ $5$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $8$ and $1$ $\newline$ Power terms: $10^2$ and $10^5$
Multiply Coefficients: Multiply the coefficients. $\newline$ What is $8 \times 1$ ? Multiply the coefficients. $\newline$ $8 \times 1 = 8$
Combine Power Terms: Combine the power terms into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $10^2 \times 10^5 = 10^{2 + 5} = 10^7$
Write Final Answer: Write the final answer in scientific notation. $\newline$ We found: $\newline$ Coefficient = $8$ $\newline$ Power term = $10^7$ $\newline$ Write the final answer in scientific notation. Substitute $8$ for $a$ and $7$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $8 \times 10^7$