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JAMB Mathematics 2007 Question 30

Question 30

Fractions, Decimals and Approximation

Evaluate ((0.5625)2 − (0.4375)2)/0.04 correct to 3 significant figures.

  1. A.3.11
  2. B.3.13
  3. C.0.313
  4. D.3.12
Show the answer and explanation

Answer: B (3.13)

Explanation

Difference of two squares: (0.5625 + 0.4375)(0.5625 − 0.4375) = 1 × 0.125 = 0.125. 0.125/0.04 = 3.125 ≈ 3.13.