Python follows the BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) rule to evaluate mathematical expressions. This rule defines the order in which operations should be performed in an arithmetic expression.

• B: Brackets () (Parentheses)
• O: Orders (Exponentiation, **)
• D: Division /, Floor Division //
• M: Multiplication *, Modulus %
• A: Addition +
• S: Subtraction -

BODMAS in Action:

1. Brackets: Operations inside parentheses are performed first.
2. Orders: Exponents (powers and roots) are evaluated next.
3. Division and Multiplication: Performed from left to right.
4. Addition and Subtraction: Performed last, from left to right.

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Example of BODMAS Rule in Python

Example 1: Simple Arithmetic Expression

result = 10 + 2 * 5
print(result)

Output:

20

Here, multiplication (2 * 5 = 10) is performed before addition (10 + 10 = 20), following BODMAS.

Example 2: Using Brackets

result = (10 + 2) * 5
print(result)

Output:

60

In this case, parentheses force the addition (10 + 2 = 12) to happen first, followed by multiplication (12 * 5 = 60).

Example 3: Mixed Operations

result = 100 - 5**2 + (10 / 2)
print(result)

Output:

78.0

• Exponent: 5**2 = 25
• Division: 10 / 2 = 5.0
• Subtraction and Addition: 100 - 25 + 5 = 80

Example 4: More Complex Expression

result = 20 + 3 * (2**3 - 1) / 2
print(result)

Output:

32.0

Here’s how the expression is evaluated step by step:

• Exponent: 2**3 = 8
• Parentheses: 8 - 1 = 7
• Multiplication and Division: 3 * 7 / 2 = 10.5
• Addition: 20 + 10.5 = 32.5

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