what is the output of print(0.1+0.2 == 0.3) True or False in python | Comparion operators

print(0.1 + 0.2 == 0.3) True or False

produces the output False, which may seem confusing at first. Mathematically, the sum of 0.1 and 0.2 is exactly 0.3, so many beginners expect the comparison to return True. However, this behavior occurs due to the way computers represent floating-point numbers internally.

Python stores decimal numbers using the IEEE 754 floating-point standard, which represents numbers in binary (base-2) instead of decimal (base-10). While integers can be represented exactly, many decimal fractions such as 0.1 and 0.2 cannot be stored precisely in binary form. As a result, Python saves them as very close approximations rather than exact values.

When Python adds 0.1 and 0.2, the result is not exactly 0.3 but a number extremely close to it:

0.30000000000000004

When this value is compared with 0.3 using the equality operator (==), Python checks for exact equality, not approximate equality. Since 0.30000000000000004 is slightly greater than 0.3, the comparison evaluates to False.

This is a common issue in many programming languages and is known as a floating-point precision error. It is not a bug in Python, but a limitation of how floating-point numbers are represented in computer memory.

To correctly compare floating-point numbers, Python provides safer methods such as rounding or using the math.isclose() function. These approaches allow comparisons within a small acceptable tolerance rather than requiring exact equality.

Understanding this concept is important for writing accurate numerical programs, especially in scientific computing, data analysis, and financial calculations.

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