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Explain how Python handles arithmetic operations with an emphasis on operator precedence. Useexamples to illustrate how Python evaluates complex arithmetic expressions.

Question

Explain how Python handles arithmetic operations with an emphasis on operator precedence. Useexamples to illustrate how Python evaluates complex arithmetic expressions.

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Solution

Python handles arithmetic operations using a set of rules known as operator precedence, also known as the order of operations. This determines which operations are performed first when evaluating a complex arithmetic expression.

Here's the order of operations in Python, from highest precedence to lowest:

  1. Parentheses: ()
  2. Exponentiation: **
  3. Multiplication, Division, Floor Division and Modulus: *, /, //, %
  4. Addition and Subtraction: +, -

Let's take an example to illustrate this:

result = 2 + 3 * 4 ** 2

Here's how Python evaluates this:

  1. First, it performs the exponentiation: 4 ** 2 equals 16.
  2. Then, it performs the multiplication: 3 * 16 equals 48.
  3. Finally, it performs the addition: 2 + 48 equals 50.

So, result would be 50.

If we change the expression to use parentheses:

result = (2 + 3) * 4 ** 2

The evaluation changes:

  1. First, it performs the operation in parentheses: 2 + 3 equals 5.
  2. Then, it performs the exponentiation: 4 ** 2 equals 16.
  3. Finally, it performs the multiplication: 5 * 16 equals 80.

So, result would be 80.

This shows how Python uses operator precedence to handle arithmetic operations.

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