Multiply. Write your answer in scientific notation. (1 * 10^5)(7 * 10^3) ______

Identify Coefficients and Powers: Identify the coefficients and the powers of ten. Coefficients: 1 and 7 Power terms: 10^5 and 10^3Multiply Coefficients: Multiply the coefficients. 1 × 7 = 7Add Exponents: Add the exponents of the power terms since the bases are the same. 10^5 × 10^3 can be written as 10^(5 + 3) which simplifies to 10^8.Combine Results: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 7 Power term = 10^8 Scientific notation: 7 × 10^8

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Multiply. Write your answer in scientific notation. $\newline$ $(1 \times 10^5)(7 \times 10^3)$ $\newline$ ______

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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 10^5)(7 \times 10^3)

\newline

______

Identify Coefficients and Powers: Identify the coefficients and the powers of ten. $\newline$ Coefficients: $1$ and $7$ $\newline$ Power terms: $10^5$ and $10^3$
Multiply Coefficients: Multiply the coefficients. $\newline$ $1 \times 7 = 7$
Add Exponents: Add the exponents of the power terms since the bases are the same. $10^5 \times 10^3$ can be written as $10^{(5 + 3)}$ which simplifies to $10^8$ .
Combine Results: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $7$ $\newline$ Power term = $10^8$ $\newline$ Scientific notation: $7 \times 10^8$