Summary of "How to use BODMAS (Order of Operations)"
Summary of "How to use BODMAS (Order of Operations)"
This video explains the BODMAS rule, which is a method to determine the correct order in which to perform mathematical operations in an expression. The key points and methodology are as follows:
Main Ideas and Concepts
- Operations in math expressions include addition, subtraction, Multiplication, Division, Brackets, and orders (Powers or indices).
- BODMAS/BIDMAS is an acronym to help remember the Order of Operations:
- B = Brackets
- O/I = Order/Index (Powers and roots)
- D = Division
- M = Multiplication
- A = Addition
- S = Subtraction
- The operations must be performed in the order indicated by BODMAS, not simply left to right.
- When Division and Multiplication appear together, or addition and subtraction appear together, work from left to right.
- Applying BODMAS ensures the correct answer and avoids common mistakes.
Detailed Methodology / Step-by-step Instructions
- Identify Brackets first:
- Within Brackets, follow BODMAS again:
- First, deal with any orders (Powers or indices).
- Then perform Multiplication and Division (from left to right).
- Finally, perform addition and subtraction (from left to right).
- Once Brackets are simplified, remove them and rewrite the equation.
- Next, handle any orders (Powers or indices) outside Brackets.
- Perform Division and Multiplication next, moving left to right.
- Perform addition and subtraction last, moving left to right.
- Continue simplifying until only one number remains, which is the final answer.
Example Walkthroughs
- Example 1: Expression with Brackets, Division, Powers, Multiplication, addition.
- Example 2:
Expression with two sets of Brackets, Powers, Division, Multiplication, subtraction, addition.
- Simplify left bracket first (Powers, Multiplication, subtraction).
- Simplify right bracket next (Division, Multiplication).
- Calculate Powers outside Brackets.
- Perform Division.
- Add last.
- Result: 9.
Key Tip
- The hardest part is remembering to apply BODMAS consistently.
- Always ask yourself: "Which operation comes first according to BODMAS?" before solving any expression.
- Forgetting BODMAS leads to common errors.
Speakers / Sources
- Single speaker/narrator (no other speakers identified).
Category
Educational
