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Simplify(0.3 x 105) \(\div\) (0.4 \(\times\) 107), leaving you answer in the standard form.

Mathematics
WAEC 2007

Simplify(0.3 x 105) \(\div\) (0.4 \(\times\) 107), leaving you answer in the standard form.
  • A. 7.5 x 10-4
  • B. 7.5 x 10-3
  • C. 7.5 x 10-2
  • D. 7.5 x 10-1
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Correct Answer: Option B
Explanation
\(\frac{0.3 \times 10^5}{0.4 \times 10^7} = \frac{3 \times 10^{-1} \times 10^{5}}{4 \times 10^{-1} \times 10^7}\)

\(\frac{3 x 10^4}{4 x 10^4}\)

\(\frac{3}{4}\) x 104-6 = 0.75 x 10-2

= 7.5 x 10-3

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