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

Identify Numbers: Identify the numbers to be multiplied. We have: (3 * 10^2)(2 * 10^1). Group the coefficients and power terms together. Coefficients: 3 and 2 Power terms: 10^2 and 10^1Group Coefficients and Power: Multiply the coefficients. Calculate 3 × 2. 3 × 2 = 6Multiply Coefficients: Multiply the power terms. Write 10^2 × 10^1 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^2 × 10^1 = 10^(2 + 1) = 10^3Multiply Power Terms: Combine the results from Step 2 and Step 3. Coefficient = 6 Power term = 10^3 Write the final answer in scientific notation. Substitute 6 for a and 3 for b in a × 10^b. Scientific notation: 6 × 10^3

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

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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 10^2)(2 \times 10^1)

\newline

______

Identify Numbers: Identify the numbers to be multiplied. $\newline$ We have: $3 \times 10^2$ ( $2$ \times $10$ ^ $1$ \). Group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $2$ $\newline$ Power terms: $10^2$ and $10^1$
Group Coefficients and Power: Multiply the coefficients. $\newline$ Calculate $3 \times 2$ . $\newline$ $3 \times 2 = 6$
Multiply Coefficients: Multiply the power terms. $\newline$ Write $10^2 \times 10^1$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^2 \times 10^1$ $\newline$ $= 10^{2 + 1}$ $\newline$ $= 10^3$
Multiply Power Terms: Combine the results from Step $2$ and Step $3$ . $\newline$ Coefficient = $6$ $\newline$ Power term = $10^3$ $\newline$ Write the final answer in scientific notation. Substitute $6$ for $a$ and $3$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $6 \times 10^3$