Multiply. Write your answer in scientific notation. (1 * 10^2)(8 * 10^4) ______

Identify numbers and group: Identify the numbers to be multiplied and group the coefficients and power terms together. Coefficients: 1 and 8 Power terms: 10^2 and 10^4Multiply coefficients: Multiply the coefficients. 1 × 8 = 8Add power term exponents: Add the exponents of the power terms with the same base of 10. 10^2 × 10^4 can be written as 10^(2 + 4)Perform exponent addition: Perform the addition of the exponents. 10^(2 + 4) = 10^6Combine results for final answer: Combine the results from Step 2 and Step 4 to write the final answer in scientific notation. Coefficient = 8 Power term = 10^6 Scientific notation: 8 × 10^6

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Multiply. Write your answer in scientific notation. $\newline$ $(1 \times 10^2)(8 \times 10^4)$ $\newline$ ______

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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 10^4)

\newline

______

Identify numbers and group: Identify the numbers to be multiplied and group the coefficients and power terms together. $\newline$ Coefficients: $1$ and $8$ $\newline$ Power terms: $10^2$ and $10^4$
Multiply coefficients: Multiply the coefficients. $\newline$ $1 \times 8 = 8$
Add power term exponents: Add the exponents of the power terms with the same base of $10$ . $10^2 \times 10^4$ can be written as $10^{(2 + 4)}$
Perform exponent addition: Perform the addition of the exponents. $10^{2 + 4} = 10^6$
Combine results for final answer: Combine the results from Step $2$ and Step $4$ to write the final answer in scientific notation. $\newline$ Coefficient = $8$ $\newline$ Power term = $10^6$ $\newline$ Scientific notation: $8 \times 10^6$