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

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

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

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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

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

\newline

______

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