Simplify \((0.3\times 10^{5})\div (0.4\times 10^{7})\)leaving your answer in standard form

MATHEMATICS
WAEC 2007

Simplify \((0.3\times 10^{5})\div (0.4\times 10^{7})\)leaving your answer in standard form

  • A. \(7.5\times 10^{-4}\)
  • B. \(7.5\times 10^{-3}\)
  • C. \(7.5\times 10^{-2}\)
  • D. \(7.5\times 10^{-1}\)

Correct Answer: B. \(7.5\times 10^{-3}\)

Explanation

\((0.3\times 10^{5})\div (0.4\times 10^{7})\\

\frac{3}{10}\times 10^{5}\div \frac{4}{10}\times 10^{7}=3\times 10^{4}\div 4\times 10^{6}\\

\frac{3\times 10^{4}}{4\times 10^{7}}=\frac{3}{4}\times 10^{-2}=0.75\times 10^{-2}\\

7.5\times 10^{-3}\)



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