Discussion

What is the result of \(0.1 \times 0.01 \times 0.001 \times 10^7\)?

Answer: B

First, multiply the decimal numbers.

\(0.1 = 10^{-1}\)

\(0.01 = 10^{-2}\)

\(0.001 = 10^{-3}\)

The expression becomes \(10^{-1} \times 10^{-2} \times 10^{-3} \times 10^7\).

When multiplying powers with the same base, we add the exponents.

\(10^{(-1-2-3+7)} = 10^{-6+7} = 10^1 = 10\).

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