Binary math strikes again...
• Select cell A2
• Press F2...Press F9
The result in the formula bar will be: 0.199999999999999

Computers work with binary representations of numbers, but humans work with decimal numbers. There are some decimal numbers that cannot be exactly represented in binary. It's the same kind of issue that prevents the fraction 1/3 from being exactly represented as a decimal number. 1/3 as a decimal is 0.333333333(ad infinitum)

Try this:
A3: =IF(ROUND(A2,6)=0.2,"TRUE","FALSE")

Inelegant...but accurate.

Does that help?