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.