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Multiply \(2.7 \times 10^{-4}\) by \(6.3 \times 10^6\) and leave your answers in...


Question

Multiply \(2.7 \times 10^{-4}\) by \(6.3 \times 10^6\) and leave your answers in standard form

Options

A)
\(1.7 \times 10^3\)
B)
\(1.70 \times 10^3\)
C)
\(1.701 \times 10^3\)
D)
\(17.01 \times 10^3\)

The correct answer is C.

Explanation:

\(2.7 \times 10^{-4} \times 6.3 \times 10^6\)
\(= 2.7 \times 6.3 \times 10^{-4} \times 10^6\)
\(= 17.01 \times 10^{-4} + 6\)
\(= 17.01 \times 10^2\)
\(= 1.701 \times 10^1 \times 10^2\)
\(= 1.701 \times 10^1 + 2\)
\(= 1.701 \times 10^3\)


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Dicussion (1)

  • \(2.7 \times 10^{-4} \times 6.3 \times 10^6\)
    \(= 2.7 \times 6.3 \times 10^{-4} \times 10^6\)
    \(= 17.01 \times 10^{-4} + 6\)
    \(= 17.01 \times 10^2\)
    \(= 1.701 \times 10^1 \times 10^2\)
    \(= 1.701 \times 10^1 + 2\)
    \(= 1.701 \times 10^3\)