Without actually performing the long division, find if 987/10500 will have terminating or non-terminating (repeating) decimal expansion.

+6 votes
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asked Apr 12, 2017 in Mathematics by Annu Priya (18,055 points) 24 45 82

Without actually performing the long division, find if 987/10500 will have terminating or non-terminating (repeating) decimal expansion. Give reasons for your answer.

1 Answer

+6 votes
answered Apr 12, 2017 by vikash (21,277 points) 4 19 70
 
Best answer

Solution:

Since the denominator is of the form 2m x 5n, the rational number has a terminating decimal expansion.

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