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Multiply. $\newline$ $(4 \times 10^2)(2 \times 10^1)$ $\newline$ Choices: $\newline$ (A) $6 \times 10^3$ $\newline$ (B) $6 \times 10^2$ $\newline$ (C) $8 \times 10^2$ $\newline$ (D) $8 \times 10^3$

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Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

6 \times 10^3

\newline

(B)

6 \times 10^2

\newline

(C)

8 \times 10^2

\newline

(D)

8 \times 10^3

Multiply Coefficients: We have the expression $(4 \times 10^2)(2 \times 10^1)$ . First, we need to multiply the coefficients $4$ and $2$ together. $\newline$ Calculation: $4 \times 2 = 8$
Multiply Power Terms: Next, we multiply the power terms $10^2$ and $10^1$ . When multiplying powers with the same base, we add the exponents. $\newline$ Calculation: $10^2 \times 10^1 = 10^{2 + 1} = 10^3$
Combine Results: Combine the results from Step $1$ and Step $2$ to write the final answer in scientific notation. $\newline$ Calculation: $8 \times 10^3$

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