Solving the Expression: 8 x 6 - 9 / 3 7 and Understanding BODMAS/BIDMAS

In mathematics, understanding the correct order of operations is essential for solving complex expressions. This article will walk you through the solution of the expression 8 x 6 - 9 / 3 7, and demonstrate the importance of using BODMAS or BIDMAS rules. This rule is a key concept in elementary mathematics and is widely used in both educational settings and real-world applications.

Understanding BODMAS/BIDMAS

The acronym BODMAS or BIDMAS stands for the order in which mathematical operations should be performed. Here, B stands for Brackets, O for Order (i.e., powers and roots, etc.), D for Division, M for Multiplication, A for Addition, and S for Subtraction. This order ensures that everyone arrives at the same answer when solving expressions.

Applying BODMAS/BIDMAS to the Expression: 8 x 6 - 9 / 3 7

Let's break down the expression step-by-step using BODMAS/BIDMAS rules:

Brackets: There are no brackets in this expression. Order: There are no powers or roots in this expression. Division: 9 / 3 3. Multiplication: 8 x 6 48. Addition/Subtraction: 48 - 3 45. Subs: No further operations are needed.

So, the expression 8 x 6 - 9 / 3 7 is simplified as follows:

8 x 6 48

9 / 3 3

48 - 3 45

Therefore, the final answer is 45, not 52 as seen in some calculations. Let's re-evaluate each erroneous calculation step-by-step:

Common Misunderstandings

The calculation 8 x 6 - 9 / 3 7 is not 457, as it should be 45 - 3, not 457. This error appears to be a typo or misunderstanding of the expression. The variation using BIDMAS (Binary, Index, Division, Multiplication, Addition, Subtraction) does not follow the correct sequence, leading to incorrect steps, such as treating 48 - 37 as 484.

Conclusion

It is crucial to follow the correct order of operations when solving mathematical expressions. The expression 8 x 6 - 9 / 3 7 should be correctly evaluated to provide the accurate answer of 45, not 52. Understanding and applying BODMAS/BIDMAS ensures that problems are solved systematically and accurately. Practice with similar expressions will further solidify your grasp of these essential mathematical principles.