Question

After how many digits the d
ecimal expansion of 731/ 200

Answer 1

Answer:

the factors of 200 are= 2 x 2 x 2 x 5 x 5

786/200 can also be written as= 786/ 2 x 2 x 2 x 5 x 5

                                                      = 786 x 5 / 2 x 2 x 2 x 5 x 5 x 5

                                                      = 3930 / ( 2 x 5 )^3

                                                      = 3930 / (10)^3

                                                      = 3930 / 1000

                                                      = 3.930

Therefore it will end after 2 decimals. ( as 0 after a decimal is not considered).

:)

Step-by-step explanation: