Question

write whether the rational number 64/455 will have a terminating decimal expansion or a non terminating decimal expansion​

Answer 1

Step-by-step explanation:

it have a non - terminating expansion , repeating decimal because to have a terminating decimal the denominator must have the form 2 ki power n and 5 ki power m . while 455= 5×7×13.

thus, it's clear that 64/45 is a non terminating repeating decimal expansion.

Answer 2

Step-by-step explanation:

64/455 = 2^6 / ( 5 × 13 × 7 )

Its in simplified form , So

Denominator is having 13 and 7 which never multiples to 10 or 10's powers so ,

Non-terminating decimal expansion