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If the denominator of a rational number is of the form 2n5m, where n and m are non-negative integers, then what will be the  decimal expansion of the number?

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NTPC CBT-I (Held On: 5 Jan 2021 Shift 1)
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  1. Non-terminating but recurring
  2. Can't be deternined
  3. Terminating
  4. Non-terninating and non-recurring

Answer (Detailed Solution Below)

Option 3 : Terminating
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Detailed Solution

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Calculation:

A rational number is terminating if it can be expressed in the form: p/(2n×5m).

The rational number whose denominator is a number that has no other factor than 2 or 5,

will terminate the result sooner or later after the decimal point.

∴ The decimal expansion of the number is Terminating 

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