Unexpected result using floor() function

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Hi all
 
I am running PostgreSQL 9.4.4 on Fedora 22.
 
SELECT floor(4.725 * 100 + 0.5) returns 473, which is what I expected.
 
SELECT floor(4.725 * power(10, 2) + 0.5) returns 472, which I find surprising.
 
Please can someone explain the anomaly.
 
Thanks
 
Frank Millman
 

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