Solving Complex Mathematical Expressions using BODMAS

Mathematics is a fundamental subject that plays a critical role in solving real-world problems. Accurately solving mathematical expressions is essential for students, researchers, and professionals in various fields. One popular method for solving such expressions efficiently is the BODMAS rule. In this article, we will explore the BODMAS rule and use it to solve a complex mathematical expression step by step.

Introduction to BODMAS

BODMAS is an acronym used in mathematics to denote the order of operations in solving mathematical expressions. It stands for:

Bracket Of Division Multiplication Addition Subtraction

The BODMAS rule helps ensure that mathematical expressions are evaluated in the correct order, leading to accurate results. Understanding and applying the BODMAS rule is vital for solving complex expressions.

Solving a Complex Expression

Let's apply the BODMAS rule to solve the following complex expression:

1112×11÷2-11

Step by Step Solution:

Bracket - In this expression, there are no brackets, so we move on to the next step. Of - There are no "of" operations in this expression, so we proceed. Division - We encounter division, so we perform this operation first: 1112×1112232 12232÷26116 Multiplication - In this step, there is no further multiplication required as we only performed division. Addition - There is no addition in the expression, so we move to the next step. Subtraction - Finally, we perform the subtraction: 6116-116105

Therefore, the final answer to the expression 1112×11÷2-11 is 6105.

Conclusion

Understanding and applying the BODMAS rule is crucial for solving complex mathematical expressions accurately. By following the correct order of operations, students and professionals can avoid common errors and arrive at the right solution. In this article, we solved the expression 1112×11÷2-11 using the BODMAS rule, demonstrating the importance of this method in solving mathematical problems.

References

1. MathIsFun - Order of Operations (BODMAS)

2. VarsityTutors - Order of Operations

3. BrightHorizonsTutorials - BODMAS Rule in Mathematics