Find whether 7/75 is a terminating or non terminating decimal expansion
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Given :- 7/75
The prime factorisation of 75 is
3 × 5 × 5
that is 3 × 5²
For terminating decimal the prime factorisation of denominator should be in the form of 2^m × 5^n
But here it is in the form of 3 × 5²
Hence it is non terminating .
The prime factorisation of 75 is
3 × 5 × 5
that is 3 × 5²
For terminating decimal the prime factorisation of denominator should be in the form of 2^m × 5^n
But here it is in the form of 3 × 5²
Hence it is non terminating .
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