Solving Mathematical Expressions Using BODMAS Rule

Understanding and applying the correct order of operations is crucial in solving mathematical expressions. One such expression is 28 ÷ 4 × 6 - 7, which can be evaluated using the BODMAS rule. This rule stands for Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). Let's break down this expression step-by-step.

Mathematical Expression and BODMAS Rule

Given the expression 28 ÷ 4 × 6 - 7, we will apply the BODMAS rule to evaluate it accurately.

Step-by-Step Breakdown

Division: According to the BODMAS rule, we start with division. Here, we have 28 ÷ 4. Performing the division gives us 7. Multiplication: Next, we multiply the result by 6, which gives us 7 × 6 42. Subtraction: Finally, we subtract 7 from 42, resulting in 42 - 7 35.

Verification and Summary

The correct solution for the expression 28 ÷ 4 × 6 - 7 is indeed 35, following the BODMAS rule. This method ensures that expressions are evaluated correctly, avoiding common errors related to the sequence of operations.

Note: The example provided in the reference text seems to contain a discrepancy, as it suggests an incorrect result of 45. The steps outlined above using the correct BODMAS rule yield a result of 35.

Understanding BODMAS

The BODMAS rule is a fundamental concept in mathematics that helps in evaluating complex expressions. By following the BODMAS rule, one can ensure that the operations are performed in the correct order, leading to accurate results. This is particularly important when dealing with more complicated mathematical expressions involving multiple operations and parentheses.

Importance of BODMAS Rule

Accurate evaluation of mathematical expressions is crucial in various fields such as engineering, physics, and economics. Misapplying the order of operations can lead to significant errors in calculations, which can have serious consequences in practical applications.

Conclusion

In conclusion, the correct solution to the expression 28 ÷ 4 × 6 - 7 is 35, following the BODMAS rule. Understanding and applying this rule is essential for accurate mathematical computations.

For more information on mathematical expressions and the BODMAS rule, refer to the works of esteemed mathematicians like Jerome E. Kaufmann, with knowledge from the Third Edition of Algebra with Trigonometry for College Students.