The question is "How to solve using BODMAS?", not "How to solve board mass?". BODMAS is an acronym that provides the correct order of operations for solving mathematical equations. It is a fundamental concept in mathematics to ensure everyone arrives at the same answer when solving complex expressions.
Understanding BODMAS
BODMAS dictates the sequence of operations to follow:
| Order | Operation | Description |
|---|---|---|
| B | Brackets | Solve everything inside brackets first. |
| O | Orders | Handle powers, roots, and other orders (indices). |
| D | Division | Perform division operations. |
| M | Multiplication | Carry out multiplication operations. |
| A | Addition | Conduct addition operations. |
| S | Subtraction | Conclude with subtraction operations. |
As explained in the provided YouTube video, BODMAS is "a rule to dictate the correct order that you approach any given".
Practical Application with Examples
Let's look at a few examples:
-
Example 1: Simple BODMAS
Calculate: 10 + 6 x 2
- Multiplication first: 6 x 2 = 12
- Addition next: 10 + 12 = 22
Therefore, the answer is 22.
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Example 2: Involving Brackets
Calculate: (10 + 6) x 2
- Brackets first: 10 + 6 = 16
- Multiplication next: 16 x 2 = 32
The answer is 32, which is different from the previous example due to the presence of brackets.
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Example 3: Mixed Operations
Calculate: 20 / 5 + 3 x 2 - 1
- Division: 20 / 5 = 4
- Multiplication: 3 x 2 = 6
- Addition: 4 + 6 = 10
- Subtraction: 10 - 1 = 9
The answer is 9.
Key Points to Remember
- Always perform operations within brackets first.
- Orders (powers and roots) should be handled before division, multiplication, addition, and subtraction.
- If only division and multiplication or addition and subtraction are present, work from left to right.
- Understanding BODMAS ensures accuracy and consistency in mathematical problem-solving.
Conclusion
By remembering and applying BODMAS in the correct sequence, you can confidently approach a wide range of mathematical equations and ensure accurate results. The video reinforces that BODMAS is used in "schools as a rule" to establish a standard way to approach mathematical equations.
