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            The Java language provides two primitive types, {{float}} and {{double}}, which are associated with the single-precision 32-bit and double-precision 64-bit format IEEE 754 values and operations \[[IEEE 754|AA. Bibliography#IEEE 754 2006]\]. Each of the floating point types has a fixed, limited number of mantissa bits. Consequently, it is impossible to precisely represent any irrational number (for example, pi). Further, because these types use a binary mantissa, they cannot precisely represent many finite decimal numbers, such as 1/10, because these numbers have repeating binary representations.

\[[Bloch 2008|AA. Bibliography#Bloch 08]\] Item 48: Avoid {{float}} and {{double}} if exact answers are required
\[[Bloch 2005|AA. Bibliography#Bloch 05]\] Puzzle 2: Time for a Change
\[[Goldberg 1991|AA. Bibliography#Goldberg 91]\]
\[[IEEE 754|AA. Bibliography#IEEE 754 2006]\]
\[[JLS 2005|AA. Bibliography#JLS 05]\] [Section 4.2.3|http://java.sun.com/docs/books/jls/third_edition/html/typesValues.html#4.2.3], "Floating-Point Types, Formats, and Values"