Without actual division find the type of decimal expansion of 935/10500.
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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.
SOLUTION:
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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SOLUTION:
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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