Question

without actually performing long division state whether 29/255 will have a terminating or non-terminating repeating decimal expansion​

Answer 1

Answer:

It will have a non terminating decimal expansion

Step-by-step explanation:

For this, you first need to prime factorise the denominator.

If the denominator is of this form,

${5}^{m} \times {2}^{n}$

Then, it is terminating, or else it is non terminating repeating.

For this question, the decimal expansion of 255 is 5×3×17

Hence it is non terminating repeating

Answer 2

Step-by-step explanation:

if the denominator of a fraction can be written in 2^m*5^n then fraction is terminating other wise non terminating repeating decimal

29/255

255=3*5*17

so it is non terminating repeating

hope this helps you