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A teacher writes a fraction with denominator q. She tells the class: 'In lowest terms, q = 1250.'
Factorise 1250 and decide the decimal type and number of places.

Class 10Decimal ExpansionsNumber Systems
  • A; terminates after 4 places
  • B; terminates after 3 places
  • C; recurring
  • D; terminates after 5 places

Step-by-Step Solution

. Only primes 2 and 5, so terminating; number of places = max(1,4) = 4.
Answer: A) ; terminates after 4 places

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