Question

what can you say about the prime factorisation of the denominator of 27.142857

Answer 1

Solution:

Given terminating decimal 27.142857

= 27142857/1000000

= 27142857/( 10 )^6

= 27142857/( 2 × 5 )^6

= 27142857/( 2^6 × 5^6 )

Now ,

Denominator is of the form 2ⁿ × 5^m .

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