What is BEDMAS in Math?
BEDMAS is an acronym that helps remember the order of operations in mathematics. It stands for Brackets, Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right). This order ensures consistent results when solving equations with multiple operations.
Following BEDMAS ensures everyone gets the same answer when solving a mathematical expression. The order isn't arbitrary; it's a convention that prevents ambiguity. Here's a breakdown:
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Brackets (Parentheses): Always solve expressions within brackets first. This may involve nested brackets, working from the innermost set outwards.
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Exponents (Powers/Indices): Next, calculate any exponents or powers.
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Division and Multiplication: These operations have equal precedence. Perform them from left to right as they appear in the equation.
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Addition and Subtraction: Similar to division and multiplication, addition and subtraction have equal precedence. Solve them from left to right.
Example
Let's illustrate with an example: 3 + 2 × (4 - 1)²
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Brackets:
(4 - 1) = 3The expression becomes3 + 2 × 3² -
Exponents:
3² = 9The expression becomes3 + 2 × 9 -
Multiplication:
2 × 9 = 18The expression becomes3 + 18 -
Addition:
3 + 18 = 21
Therefore, the solution is 21.
Variations of BEDMAS
While BEDMAS is common in some regions, other acronyms exist, such as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) and BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction). These acronyms all represent the same fundamental order of operations. The differences are mainly in the terminology used for specific operations.
Importance of BEDMAS
BEDMAS is crucial for accurate mathematical calculations, especially when dealing with complex equations. Without a consistent order of operations, multiple interpretations and incorrect solutions are possible. It's a foundational concept in algebra and beyond.
