Applying BODMAS for Multi-Operator Equations BODMAS , standing for Brackets, Orders, Division, Multiplication, Addition, Subtraction , provides a syste...
BODMAS, standing for Brackets, Orders, Division, Multiplication, Addition, Subtraction, provides a systematic way to evaluate multi-operator equations. It ensures that all operations are completed in the correct order, leading to the correct solution.
Step 1: Evaluate Expressions in Brackets
First, evaluate any expressions inside parentheses, including those involving only numbers or basic operations.
Example: (2 + 3) * 4
Step 2: Perform Orders of Operations
Next, follow the order of operations (highest to lowest):
Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
Step 3: Evaluate Remaining Expressions
Apply the BODMAS rules to evaluate any remaining expressions, working from left to right.
Step 4: Combine Like Terms
Once all operations are completed, combine like terms by adding or subtracting them with the same variable or constant on both sides of the equation.
Example:
(x + 2) - (x - 3) = 6
Steps:
(x + 2) - x = 6
2 = 6
Combine like terms: 2 = 4
Conclusion:
We reached the same solution (4) using BODMAS, demonstrating how applying the rules systematically leads to the correct answer.
Additional Notes:
BODMAS can be applied to both single- and multi-operator equations.
It is important to pay attention to the order of operations and combine like terms correctly.
Practice is crucial for mastering BODMAS, as it helps develop a strong understanding and ability to apply the rules effectively