Is 0.9 smaller than 0.11

NO!!!

To compare all decimals , first bring the decimal numbers to the same number of decimal places, ( 2 in this case) , by inserting suffix zeroes.

Hence. 0.9 & 0.11

Becomes

0.90 & 0.11

Drop the decimal point

090 & 011

Drop the prefix (trivial) zero .

90 & 11

I think you will agree that 90 is greater than 11 ( 90 > 11)

Hence it follows that 0.9 > 0.11

NB THis method is good for comparing all decimal numbers.