Short Answer

To solve expressions using BODMAS, we follow a fixed order of operations step by step. First, we solve the brackets, then orders (powers or roots), followed by division and multiplication, and finally addition and subtraction. This method ensures that the calculation is done correctly.

By using BODMAS, we can break a complex problem into simple steps. It helps us avoid mistakes and get the correct answer every time. Following this rule makes calculations easy and organized.

Detailed Explanation:

Solving expressions using BODMAS

Solving expressions using BODMAS means following a proper sequence of steps while doing calculations. When an expression has multiple operations like addition, subtraction, multiplication, division, brackets, or powers, we cannot solve it randomly. We must follow a fixed order so that the answer is correct.

The first step in BODMAS is to look for brackets. Brackets are used to group numbers and operations together. If an expression has brackets, we always solve them first. If there are many brackets, we solve the innermost bracket first and then move outward. This step simplifies the expression and makes it easier to solve further.

After solving brackets, we move to orders. Orders include powers and roots. For example, numbers like 2² or 3³ must be solved before other operations. This step changes the value of numbers and prepares the expression for the next steps.

Next comes division and multiplication. These operations are done from left to right as they appear in the expression. It is important to remember that division and multiplication have equal importance. We do not always solve division first; instead, we solve whichever comes first from left to right.

Finally, we perform addition and subtraction. These are the last steps in the BODMAS rule. Like multiplication and division, addition and subtraction are also solved from left to right. After completing these steps, we get the final answer.

Step-by-step process

To solve any expression using BODMAS, we follow a clear step-by-step process. First, identify all the operations in the expression. Then, start solving from brackets. After that, solve orders if present. Next, move to division and multiplication, and at the end, perform addition and subtraction.

This step-by-step method helps in solving even complex expressions easily. It breaks the problem into smaller parts and makes it simple to handle.

Example explanation

Let us understand this with an example:

Consider the expression:
12 + 6 × (5 − 2)

Step 1: Solve the bracket
(5 − 2) = 3

Step 2: Multiply
6 × 3 = 18

Step 3: Add
12 + 18 = 30

So, the correct answer is 30.

If we do not follow BODMAS and add first, we may get a wrong answer. This example shows how important it is to follow the correct order.

Benefits of using BODMAS

Using BODMAS makes calculations accurate and consistent. It ensures that everyone solves the problem in the same way and gets the same answer. It also reduces confusion because the steps are clearly defined.

Another benefit is that it improves speed. When students practice BODMAS regularly, they become faster at solving problems. They do not need to think about which step to do next because the rule already guides them.

BODMAS is also helpful in higher-level mathematics. In algebra, equations often have multiple operations. Using BODMAS helps in solving these equations correctly.

Application in real life

BODMAS is not only useful in school but also in daily life. For example, when calculating total expenses, discounts, or profits, we often use multiple operations. Following BODMAS helps in getting the correct result.

In fields like business, science, and engineering, correct calculations are very important. A small mistake can lead to big problems. BODMAS helps avoid such mistakes by providing a clear order of steps.

Conclusion

Solving expressions using BODMAS involves following a fixed order of operations step by step. By solving brackets, orders, division, multiplication, addition, and subtraction in sequence, we can get correct and reliable answers. This rule makes calculations simple, accurate, and easy to understand.