Question

The decimal expansion of the rational number 33 2 5×5 will terminate after________decimal places​

Answer 1

Answer:

33 2 5 × 5 After simplification , when denominator is in the form 2. Then decimal expansion terminates after largest m , n decimal place . Here , m = 5 and n = 1 m > n So , decimal expansion will terminates after 5 decimal places . Justification : 33 2 5 × 5 = 33 2 4 × 2 × 5 = 33 2 4 × 10 = 3 .

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