Multiply. Write your answer in scientific notation. (1 * 10^3)(6 * 10^5) ______

Group Coefficients and Power Terms: We have: (1 × 10^3)(6 × 10^5) Group the coefficients and power terms together. Coefficients: 1 and 6 Power terms: 10^3 and 10^5Multiply Coefficients: What is 1 × 6? Multiply the coefficients. 1 × 6 = 6Combine Power Terms: Write 10^3 × 10^5 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^3 × 10^5 = 10^(3 + 5) = 10^8Write Final Answer: We found: Coefficient = 6 Power term = 10^8 Write the final answer in scientific notation. Substitute 6 for a and 8 for b in a × 10^b. Scientific notation: 6 × 10^8

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Multiply. Write your answer in scientific notation. $\newline$ $(1 \times 10^3)(6 \times 10^5)$ $\newline$ ______

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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

(1 \times 10^3)(6 \times 10^5)

\newline

______

Group Coefficients and Power Terms: We have: $\newline$ $(1 \times 10^3)(6 \times 10^5)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $1$ and $6$ $\newline$ Power terms: $10^3$ and $10^5$
Multiply Coefficients: What is $1 \times 6$ ? Multiply the coefficients. $\newline$ $1 \times 6 = 6$
Combine Power Terms: Write $10^3 \times 10^5$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^3 \times 10^5$ $\newline$ $= 10^{(3 + 5)}$ $\newline$ $= 10^8$
Write Final Answer: We found: $\newline$ Coefficient = $6$ $\newline$ Power term = $10^8$ $\newline$ Write the final answer in scientific notation. Substitute $6$ for $a$ and $8$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $6 \times 10^8$