Understanding BODMAS
BODMAS stands for Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). This rule helps in solving mathematical expressions in the correct order.
Step-by-Step Solution
1. Identify the Components
The given expression is 45 + (36) - 78. Here, we need to look for brackets, orders, and then perform addition and subtraction.
2. Evaluate Brackets First
- The term within brackets is (36), which is simply 36.
- Thus, the expression simplifies to 45 + 36 - 78.
3. Perform Addition
- Now, add 45 and 36:
- 45 + 36 = 81.
- The expression now becomes 81 - 78.
4. Perform Subtraction
- Finally, subtract 78 from 81:
- 81 - 78 = 3.
Final Result
The final result of the expression 45 + (36) - 78 is 3.
Summary of Steps
- Identify components: 45, 36, 78
- Evaluate Brackets: 36
- Add: 45 + 36 = 81
- Subtract: 81 - 78 = 3
By following the BODMAS rule meticulously, you can solve similar problems accurately and efficiently.