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Multiply. $\newline$ $(6 \times 10^2)(1 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $6 \times 10^4$ $\newline$ (B) $5 \times 10^4$ $\newline$ (C) $8 \times 10^4$ $\newline$ (D) $1 \times 10^4$

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Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

6 \times 10^4

\newline

(B)

5 \times 10^4

\newline

(C)

8 \times 10^4

\newline

(D)

1 \times 10^4

Multiply Coefficients: We have the expression $(6 \times 10^2)(1 \times 10^2)$ . First, we need to multiply the coefficients $(6$ and $1)$ together. $\newline$ Calculation: $6 \times 1 = 6$
Multiply Power Terms: Next, we multiply the power terms $10^2$ and $10^2$ . When multiplying powers with the same base, we add the exponents. $\newline$ Calculation: $10^2 \times 10^2 = 10^{2 + 2} = 10^4$
Combine Results: Combine the results from Step $1$ and Step $2$ to write the final answer in scientific notation. $\newline$ Calculation: $6 \times 10^4$

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