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Without long division, state whether 935/10500 …

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Without long division, state whether 935/10500 will have the terminating or non terminating repeating decimal expansion.

Posted by Radhika Kashyap 4 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 4 years, 10 months ago

If the factors of denominator of the given rational number is of form 2ⁿ 5^m ,where n and m are non negative integers, then the decimal expansion of the rational number is terminating otherwise non terminating recurring.
935/10500
935/ (2²× 3× 5³× 7)
Here, the factors of the denominator 10500 are 2²× 3× 5³× 7, which is not in the form 2ⁿ 5^m .
Hence, 935/10500 has non terminating repeating decimal expansion.

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