Question

Write whether the rational number 7/75 will have a terminating decimal expansion or a nor terminating decimal expansion .

Answer 1

Terminating decimal number is a decimal number whose decimal digits do not go on to infinity whereas non-terminating decimal number is a decimal number whose decimal digits go to infinity.

Solution:

7/75=0.093333333`

Since its decimal digit 3 is infinite then it is non terminating decimal number.