Multiply. (3 * 10^2)(2 * 10^1) Choices: (A)2 * 10^3 (B)2 * 10^2 (C)6 * 10^3 (D)6 * 10^2

Identify Coefficients and Power Terms: We have: (3 × 10^2)(2 × 10^1) Group the coefficients and power terms together. Coefficients: 3 and 2 Power terms: 10^2 and 10^1Multiply Coefficients: What is 3 × 2? Multiply the coefficients. 3 × 2 = 6Combine 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) = 10^3Write Final Answer in Scientific Notation: We found: 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. $\newline$ $(3 \times 10^2)(2 \times 10^1)$ $\newline$ Choices: $\newline$ (A) $2 \times 10^3$ $\newline$ (B) $2 \times 10^2$ $\newline$ (C) $6 \times 10^3$ $\newline$ (D) $6 \times 10^2$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

2 \times 10^3

\newline

(B)

2 \times 10^2

\newline

(C)

6 \times 10^3

\newline

(D)

6 \times 10^2

Identify Coefficients and Power Terms: We have: $\newline$ $(3 \times 10^2)(2 \times 10^1)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $2$ $\newline$ Power terms: $10^2$ and $10^1$
Multiply Coefficients: What is $3 \times 2$ ? Multiply the coefficients. $\newline$ $3 \times 2 = 6$
Combine Power Terms: Write $10^2 \times 10^1$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^2 \times 10^1$ $\newline$ $= 10^{2 + 1}$ $\newline$ $= 10^3$
Write Final Answer in Scientific Notation: We found: $\newline$ 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: $6 \times 10^3$