Is 2.222222 a rational number

Answer 1

YES!!!!

Be it a terminating decimal or a decimal recurring to inifinity.

Terminating decimal

2.222222 = 2 2/1000000 = 2 1/500000

As a recurring decimal

2.222.... ( Note the use of stops).

Let P = 2.222....

Then

10P - 22.222...

Subtract

9P = 20 ( Note the recurring decimals subtract to zero).

P = 20/9

P = 2 2/9

NB When writing recurring decimal to infinity, the number is written as 2.222... ( with at least three stops/periods).

Otherwise it is deemed to be a terminating decimal.

Answer 2

Yes.