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Find whether decimal expansion of (13/3125)is …

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Find whether decimal expansion of (13/3125)is a terminating or non-terminating decimal. If it terminates, find the number of decimal places it decimal expansion.

Posted by Nishan Singh Bal 6 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 2 months ago

{tex}\frac { 13 } { 3125 } = \frac { 13 } { 5 ^ { 5 } }{/tex} Here, q = 5⁵,
which is of the form 2ⁿ5^m (n = 0, m = 5).
So the rational number{tex}\frac { 13 } { 3125 }{/tex} has a terminating decimal expansion.

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