Question

without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non terminating repeating decim al expansion 13÷3125​

Answer 1

Prime factors of 3125 = 5x5x5x5x5 = 5^5

So 13/3125 has terminating decimal expansion as its denominator can be factorised in the form of 2^m5^n.

Answer 2

this

is

correct

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