Solving 22×2÷2 Using BODMAS: A Comprehensive Guide

In mathematics, the order of operations, known as BODMAS (or PEMDAS in some regions), is a fundamental principle for solving complex mathematical expressions. This article will walk you through the process of solving the expression 22×2÷2 using the BODMAS rule.

Understanding BODMAS

BODMAS stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction. This order of operations ensures that mathematical expressions are solved systematically and reliably. Here's a detailed breakdown of the steps:

1. Brackets (B)

If there are any brackets in the expression, they need to be solved first. In the given expression 22×2÷2, there are no brackets. However, understanding the rule is crucial for more complex expressions.

2. Orders (O)

Orders refer to exponents or radicals. Since there are no exponents or radicals in the given expression, we do not need to apply this step.

3. Division and Multiplication (DM)

According to the BODMAS rule, division and multiplication should be performed from left to right. In the expression 22×2÷2, we have:

First: Perform the multiplication: 22×2 44 Next: Perform the division: 44÷2 22

4. Addition and Subtraction (AS)

Since there are no addition or subtraction operations in the given expression, we do not need to perform any further steps.

Solving 22×2÷2 Step-by-Step

Let's break down the process step-by-step to demonstrate how 22×2÷2 is solved using the BODMAS rule:

22×2 First, perform the multiplication: 22×2 44 Next, perform the division: 44÷2 22

Therefore, the answer to the expression 22×2÷2 is 22.

Common Misconceptions

Some might mistakenly suggest that the answer to 22×2÷2 is 3 because they follow a step-by-step division approach without respecting the left-to-right multiplication first. However, this approach is incorrect according to the BODMAS rule. It is crucial to perform multiplication and division from left to right.

For example:

This approach is a misinterpretation of the BODMAS rule and will yield an incorrect result.

Conclusion

When solving expressions such as 22×2÷2, it is essential to follow the BODMAS or PEMDAS rules meticulously. The correct answer is 22. Understanding and applying the order of operations is crucial for solving more complex mathematical problems accurately.

References

For further reading and to delve deeper into the order of operations, consider exploring the following resources:

Math is Fun - Order of Operations Purplemath - Order of Operations