Chapter 5: Problem 3

What is the value of the expression \(2+3 * 4\) in Python?

Short Answer

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Step by step solution

Understand Order of Operations

Python follows the order of operations, also known as PEMDAS/BODMAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Multiplication precedes addition.

Identify Operations

In the expression, there are two operations: addition (+) and multiplication (*).

Perform Multiplication First

Calculate the multiplication part of the expression first: 3 * 4 = 12.

Perform Addition

Now add the result of the multiplication to the remaining value in the expression: 2 + 12 = 14.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

PEMDAS/BODMAS

When working with arithmetic expressions in Python, it's important to understand the order of operations, which is also known as PEMDAS/BODMAS. This acronym stands for Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. These rules dictate the sequence in which operations are performed to ensure accurate results. For example, in the expression \(2 + 3 * 4\), multiplication is performed before addition; thus \(3 * 4\) is calculated first, and then the result is added to 2.

Multiplication and Addition in Python

In Python, mathematical operations such as multiplication (*) and addition (+) follow the PEMDAS/BODMAS rules.
Let's break down the expression \(2 + 3 * 4\):

First, Python identifies the operations involved, which are multiplication and addition.
According to PEMDAS/BODMAS, multiplication has a higher precedence over addition.
The multiplication operation is performed first: \(3 * 4 = 12\).
The addition operation is then carried out: \(2 + 12 = 14\).

This ensures that you get the correct value as Python handles the operations in the correct order.

Arithmetic Expressions

Arithmetic expressions in Python consist of numbers and operators, such as addition (+), subtraction (-), multiplication (*), and division (/).
Understanding the order of operations is crucial for evaluating these expressions correctly.
Let's consider our example \(2 + 3 * 4\):
- Identify all the operations in the expression.
- Determine the precedence of these operations using PEMDAS/BODMAS.
- Perform operations with higher precedence first (multiplication before addition in this case).
This approach will always help you simplify and correctly evaluate arithmetic expressions in Python.

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What is the value of the expression \(2+3 * 4\) in Python?

Short Answer

Step by step solution

Understand Order of Operations

Identify Operations

Perform Multiplication First

Perform Addition

Key Concepts

PEMDAS/BODMAS

Multiplication and Addition in Python

Arithmetic Expressions

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