Question

write whether the rational number 7 by 75 will have a terminating decimal expansion or and and terminating repeating decimal expansion

Answer 1

7/75 is non terminating decimal expansion because it cannot be written in form 2 ^ m × 5 ^n

Answer 2

7/75= ?...

answer: 75= 5*5*3...3 is found in denominator....therefore non terminating recurring decimal..
a number in denominator should be a multiple of 2 or 5 or both to have a recurring decimal expansion