Real Numbers · Class 10 · CBSE Mathematics

The decimal expansion of the rational number frac{43}{2^4 times 5^3} will terminate after how many places of decimals?

Practice question from Real Numbers (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-05A6AB

The decimal expansion of the rational number 4324×53\frac{43}{2^4 \times 5^3} will terminate after how many places of decimals?

  1. A.3
  2. B.4Correct answer
  3. C.5
  4. D.7

Solution

To find the number of decimal places for a terminating rational number p2n×5m\frac{p}{2^n \times 5^m}, it terminates after max⁡(n,m)\max(n, m) decimal places. Here, n=4n = 4 and m=3m = 3. Therefore, max(4,34, 3) = 4 places.

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