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Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\)

Mathematics
JAMB 1992

Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\)

  • A. 4.0 x 10-11
  • B. 5.0 x 10-2
  • C. 2.0 x 10-1
  • D. 5.0 x 10-3
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Correct Answer: Option A
Explanation

\(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\) = \(\frac{1.25 \times 2}{6.25}\) x 10\(^{-4 - 1 - 5}\)

\(\frac{2.50}{6.25}\) x 10\(^{-10}\) = \(\frac{250}{625}\) x 10\(^{-10}\)

0.4 x 10\(^{-10}\) = 4.0 x 10\(^{-11}\)


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