Multiply. Write your answer in scientific notation. (9 * 10^3)(1 * 10^4) ______

Group Coefficients and Power Terms: We have: (9 × 10^3)(1 × 10^4) Group the coefficients and power terms together. Coefficients: 9 and 1 Power terms: 10^3 and 10^4Multiply Coefficients: What is 9 × 1? Multiply the coefficients. 9 × 1 = 9Combine Power Terms: Write 10^3 × 10^4 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^3 × 10^4 = 10^(3 + 4) = 10^7Write Final Answer: We found: Coefficient = 9 Power term = 10^7 Write the final answer in scientific notation. Substitute 9 for a and 7 for b in a × 10^b. Scientific notation: 9 × 10^7

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Multiply. Write your answer in scientific notation. $\newline$ $(9 \times 10^3)(1 \times 10^4)$ $\newline$ ______

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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

(9 \times 10^3)(1 \times 10^4)

\newline

______

Group Coefficients and Power Terms: We have: $\newline$ $(9 \times 10^3)(1 \times 10^4)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $9$ and $1$ $\newline$ Power terms: $10^3$ and $10^4$
Multiply Coefficients: What is $9 \times 1$ ? Multiply the coefficients. $\newline$ $9 \times 1 = 9$
Combine Power Terms: Write $10^3 \times 10^4$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^3 \times 10^4$ $\newline$ $= 10^{3 + 4}$ $\newline$ $= 10^7$
Write Final Answer: We found: $\newline$ Coefficient = $9$ $\newline$ Power term = $10^7$ $\newline$ Write the final answer in scientific notation. Substitute $9$ for $a$ and $7$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $9 \times 10^7$