Multiply. Write your answer in scientific notation. (1 * 10^2)(5 * 10^3) ______

Group Coefficients and Power Terms: We have: (1 × 10^2)(5 × 10^3) Group the coefficients and power terms together. Coefficients: 1 and 5 Power terms: 10^2 and 10^3Multiply Coefficients: What is 1 × 5? Multiply the coefficients. 1 × 5 = 5Combine Power Terms: Write 10^2 × 10^3 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^2 × 10^3 = 10^(2 + 3) = 10^5Write Final Answer: We found: Coefficient = 5 Power term = 10^5 Write the final answer in scientific notation. Substitute 5 for a and 5 for b in a × 10^b. Scientific notation: 5 × 10^5

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Multiply. Write your answer in scientific notation. $\newline$ $(1 \times 10^2)(5 \times 10^3)$ $\newline$ ______

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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 10^2)(5 \times 10^3)

\newline

______

Group Coefficients and Power Terms: We have: $\newline$ $(1 \times 10^2)(5 \times 10^3)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $1$ and $5$ $\newline$ Power terms: $10^2$ and $10^3$
Multiply Coefficients: What is $1 \times 5$ ? Multiply the coefficients. $\newline$ $1 \times 5 = 5$
Combine Power Terms: Write $10^2 \times 10^3$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^2 \times 10^3$ $\newline$ $= 10^{2 + 3}$ $\newline$ $= 10^5$
Write Final Answer: We found: $\newline$ Coefficient = $5$ $\newline$ Power term = $10^5$ $\newline$ Write the final answer in scientific notation. Substitute $5$ for $a$ and $5$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $5 \times 10^5$