Solving Mathematical Equations with BODMAS: The Correct Answer to 2-2 3-3-113

Mathematics operators and order of operations often become a point of confusion, especially in complex equations. In this article, we will dive into the solution of the equation 2-2 3-3-113 using the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition, Subtraction). By understanding and applying this rule correctly, you will find that the answer is -21.

Understanding the BODMAS Rule

The BODMAS rule is a fundamental principle for solving mathematical expressions. It stands for Brackets, Orders (powers and roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Step-by-Step Solution of 2-2 3-3-113

Let's break down the given equation step by step:

Brackets: The given equation doesn't have any brackets, so we move on to the next step. Orders: There are no powers or roots involved in the equation, so we skip this step. Division and Multiplication: We perform the multiplications and divisions from left to right. Addition and Subtraction: Finally, we perform the additions and subtractions from left to right.

To solve 2-2 3-3-113, first, we need to simplify the terms inside the expressions:

2-2: This simplifies to -4. 3-3: This simplifies to -9. -113: This remains as is, as there are no further operations to perform.

Now, we combine the simplified terms:

-4 – 9 – 113.

Apply the operations from left to right:

-4 – 9 -13

-13 – 113 -243

Thus, the final answer is:

-21

Summary of Solution Using BODMAS

By following the BODMAS rule, we can solve the equation step by step:

2-2 -4 3-3 -9 -113 -113 Combining these: -4 – 9 – 113 -4 – 9 – 8 -21

The answer, therefore, is -21. This method ensures that operations are performed in the correct order, leading to accurate results.

Conclusion

Mastery of the BODMAS rule is crucial for solving mathematical equations correctly. By breaking down the problem step by step and applying the rule correctly, we ensure that the operations are performed in the right sequence, leading us to the accurate result.

Frequently Asked Questions

Q: What is BODMAS and why is it important?

A: BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) is a rule that helps in determining the order of operations in a mathematical expression. It is essential for solving equations correctly, ensuring that operations are performed in the right sequence.

Q: Can you provide another example of BODMAS?

A: Sure, consider the equation 3 × (5 4) ÷ 2 3 - 2.

(5 4) 9 3 × 9 27 27 ÷ 2 13.5 13.5 3 16.5 16.5 - 2 14.5

The final answer is 14.5.

Q: How does BODMAS ensure accuracy in mathematical operations?

A: BODMAS ensures accuracy by providing a clear sequence of operations to follow. It eliminates ambiguity and ensures that every part of the equation is solved in the right order, leading to a consistent and accurate result.