Short Answer
In BODMAS, addition and subtraction are done at the last stage of solving an expression. After completing brackets, orders, division, and multiplication, we perform addition and subtraction. These two operations are done from left to right as they appear in the expression.
Addition and subtraction have equal importance in BODMAS. This means we do not always subtract first or add first. We simply follow the left to right order to get the correct answer.
Detailed Explanation:
Addition and subtraction order in BODMAS
In the BODMAS rule, addition and subtraction come at the final stage of solving any mathematical expression. This is because they are simpler operations compared to brackets, powers, multiplication, and division. Once all the earlier steps are completed, we are left with only addition and subtraction, which are then solved in a fixed order.
The most important point to remember is that addition and subtraction are treated equally. There is no rule that says addition should always be done before subtraction or vice versa. Instead, both operations are solved from left to right as they appear in the expression. This rule helps maintain consistency and avoids confusion.
Following this order is very important because changing the sequence can give a different answer. For example, if we solve subtraction before addition without following left to right, the result may become incorrect. So, the left to right rule is very important in this step.
Equal importance of addition and subtraction
Addition and subtraction are given equal priority in BODMAS. This means that once we reach this stage, we do not look at the type of operation but at the position of the operation in the expression.
For example, in an expression like:
10 − 4 + 2
We solve from left to right:
First: 10 − 4 = 6
Then: 6 + 2 = 8
If we wrongly do addition first, the answer will change. This shows why equal importance and left to right order are necessary.
Left to right rule
The left to right rule means we solve the operations in the order they appear from the left side to the right side of the expression. This rule is applied after completing all higher priority operations like brackets, orders, division, and multiplication.
This rule makes calculations simple and systematic. It ensures that everyone follows the same steps and gets the same result. It also helps in avoiding unnecessary confusion while solving expressions.
Example explanation
Let us understand with a slightly bigger example:
20 − 5 + 3 − 2
Step 1: Start from the left
20 − 5 = 15
Step 2: Move to the next operation
15 + 3 = 18
Step 3: Continue to the next
18 − 2 = 16
So, the final answer is 16.
If we do not follow the left to right rule, we may get a wrong answer. This example clearly shows the importance of order.
Role in solving expressions
Addition and subtraction play an important role in completing the final answer of an expression. After simplifying the expression using brackets, orders, multiplication, and division, the remaining part usually includes addition and subtraction.
Final step of calculation
These operations act as the final step in solving expressions. Once we reach this stage, the expression becomes simple, and we only need to combine or reduce numbers.
Avoiding mistakes
Many students make mistakes by not following the left to right rule. They may try to add all numbers first and then subtract, which leads to incorrect answers. By following the correct order, such mistakes can be avoided.
Use in real life
Addition and subtraction are used in daily life for calculating totals, balances, profits, and losses. When multiple operations are involved, following BODMAS ensures correct results.
Improving calculation skills
Practicing addition and subtraction in BODMAS improves speed and accuracy. It helps students become confident in solving expressions and reduces errors in exams.
Conclusion
In BODMAS, addition and subtraction are performed at the final stage and are solved from left to right. Both operations have equal importance, and following their correct order ensures accurate and consistent results. This step is essential for completing calculations correctly.