Question

Without actually performing the long division, state whether 257/500 has a terminating decimal expansion or not. Also write the terminating decimal expansion if it exists.

Answer 1

Answer:

Terminating

Step-by-step explanation:

=257/500

= 257/100*5

=257/5*2*5*2*5

hence , 500 can be written in 2^m*5^n form . Therefore it is Terminating and the decimal expansion is 0.514