Solving a Complex Mathematical Expression: A Guide to Using BODMAS

Mathematics can be tricky, especially when complex expressions are involved. In this article, we will walk through the process of solving a peculiar expression using the BODMAS rule. Understanding and applying BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) can help simplify even the most challenging expressions. Let's dive into the process step-by-step.

Expression Analysis

Consider the expression: 1000 1103 5 2 - 0 × 100 100 × 0 2 ÷ 0.5 28 × 2 1 1

Step-by-Step Solution Using BODMAS

BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) is the order in which to solve mathematical operations. Let's break down the expression and solve it using this rule.

Step 1: Division and Multiplication

First, we address the division and multiplication in the expression:

0 × 100 0 (Multiplication) 0 × 0 0 (Multiplication) 0 ÷ 0.5 0 (Division) 28 × 2 56 (Multiplication) 1 × 1 1 (Multiplication)

Now, substitute these values back into the expression:

1000 1103 5 2 - 0 0 4 56 1 1

Further simplifying it, we get:

1000 1103 5 2 - 0 0 56 1 1

Step 2: Addition and Subtraction

Now that we have solved the division and multiplication, we can focus on the addition and subtraction:

1103 5 2 1103 12 (Addition) - 0 0 1103 12 (Subtraction) - 56 1 1103 11 (Subtraction) - 1 1103 10 (Subtraction)

The final step is to combine the remaining numbers:

1103 10

Final Answer

Thus, the final answer to the expression is 2168.

Understanding BODMAS

It's important to note that with BODMAS, operations like multiplication can come before division, and the same goes for addition and subtraction. A good rule of thumb is to read the equation from left to right and determine whether multiplication should be done before division or subtraction before addition.

For instance, in the expression 10 × 2 ÷ 5, you would first perform the multiplication (10 × 2 20) and then the division (20 ÷ 5 4). Similarly, in 10 - 2 5, you would first perform the subtraction (10 - 2 8) and then the addition (8 5 13).

Conclusion

By following the BODMAS rule, even the most complex mathematical expressions can be broken down and solved step-by-step. Whether you're a student or a professional dealing with complex equations, mastering BODMAS can make your mathematical journey smoother and more manageable. Practice with various examples and always refer to the BODMAS rule to ensure accuracy in your calculations.