Understanding Mathematical Operations: The Expression 2 2 4 x 6 / 2 3 and Its Solution

Math can often be a perplexing subject, particularly when it involves complex expressions and the correct sequence of operations. This article aims to clarify one such expression - 2 2 4 x 6 / 2 3. We will break down the mathematical operations involved, apply the correct rules, and provide a step-by-step solution.

Introduction to the Expression

The given expression is 2 2 4 x 6 / 2 3. At first glance, this expression might appear confusing due to the presence of duplicate digits. However, understanding the underlying structure and applying the correct mathematical operations will help us reach a conclusive solution.

The Corrected Expression

The expression can be simplified to 2^2 x 4 x 6 / 2^3. Let's break this down further:

Exponents: The expression includes 2^2, which means 2 multiplied by itself, resulting in 4. Multiplication and Division: We then multiply 4 by 4, which equals 16, and divide by 8 (2^3).

The sequence can be rearranged and simplified as follows:

Step-by-Step Solution

Apply the exponent rule: 22 2 x 2 4. Multiply the result by 4: 4 x 4 16. Multiply by 6: 16 x 6 96. Divide by 2^3 (which is 8): 96 / 8 12.

BODMAS Rule and Its Application

In mathematics, the order of operations, often referred to as BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction), is a crucial rule to follow. Following this rule ensures that expressions are solved correctly. In our example, the steps we have taken align with the BODMAS rule:

BODMAS Breakdown

B - Brackets: There are no brackets in the expression. O - Orders (Exponents): We have used this step to simplify 2^2. D - Division/Multiplication: We performed multiplication and division from left to right. A - Addition/Subtraction: There are no addition and subtraction operations in the expression.

Conclusion

The expression 2^2 x 4 x 6 / 2^3 simplifies to 12 when following the correct order of operations and applying the BODMAS rule.

Understanding mathematical operations is vital not only for academic purposes but also for everyday applications. Whether you're a student, a professional, or just someone who enjoys solving math problems, mastering these basic rules can greatly enhance your problem-solving skills.

Do you have any other mathematical expressions or concepts that you find challenging? Feel free to share in the comments below!