BODMAS is an acronym that helps remember the order of operations in mathematical calculations, standing for Brackets, Orders (powers and roots), Division, Multiplication, Addition, and Subtraction.
Understanding BODMAS
The BODMAS rule dictates the sequence in which mathematical operations should be performed to arrive at the correct answer. According to the rule (Reference: What does BODMAS stand for? BODMAS stands for Brackets, Orders (powers and roots), Division, Multiplication, Addition, and Subtraction. The interpretation of the rule is the following: you have to solve brackets first, then orders (powers, square roots), division and multiplication, and lastly addition and subtraction.08-Jan-2024), you must solve brackets first, then orders (powers, square roots), division and multiplication, and lastly addition and subtraction.
Here's a breakdown of each component:
- Brackets: Operations inside brackets ( ), { }, [ ] should be performed first.
- Orders: This refers to powers and roots (e.g., squaring, square root).
- Division: Perform all division operations from left to right.
- Multiplication: Perform all multiplication operations from left to right.
- Addition: Perform all addition operations from left to right.
- Subtraction: Perform all subtraction operations from left to right.
Example
Let's consider the following example to illustrate the BODMAS rule:
10 + 2 x (5 - 3)2 / 2
Following BODMAS:
- Brackets: (5 - 3) = 2
- Orders: 22 = 4
- Division: 4 / 2 = 2
- Multiplication: 2 x 2 = 4
- Addition: 10 + 4 = 14
Therefore, the solution to the expression is 14.
Summary Table
| Abbreviation | Meaning |
|---|---|
| B | Brackets |
| O | Orders (Powers and Roots) |
| D | Division |
| M | Multiplication |
| A | Addition |
| S | Subtraction |
