Question

without actually performing the long division state whether 1258 by 625 will have a terminating decimal expansion or a non-terminating repeating decimal expansion​

Answer 1

Answer:

given :

= 1258/625

625= 5×5×5×5

= 5^4× 2^0

here denominator is of the form of 2^n×5^m

therefore this has a terminating and non recurring decimal expansion

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Answer 2

Answer:

Terminating decimal expansion

1258/5⁴ where m,n are non negative integer.

Therefore 1258/625 has a terminating decimal expansion.

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