The Order of operations for any given expression is governed by the following rule:
PEMDAS - Parentheses → Exponent → Multiplication →Division → Addition → Subtraction
OR
BODMAS - Brackets → Orders → Division → Multiplication → Addition → Subtraction.The below-given order of operations calculator is also designed based on the same rule.
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PEMDAS / BODMAS Calculator
The Order of operations for any given expression is governed by the following rule:
PEMDAS - Parentheses → Exponent → Multiplication →Division → Addition → Subtraction
OR
BODMAS - Brackets → Orders → Division → Multiplication → Addition → Subtraction.The below-given order of operations calculator is also designed based on the same rule.
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In mathematics, the order of operations is represented as BODMAS or PEMDAS. Both are same, Where B and O in BODMAS represents Brackets and Powers (Roots), P and E in PEDMAS represents Paranthesis and Exponents. According to the US learning system, it is 'PEMDAS' and in UK learning system, it is 'BODMAS'. Sometimes, it can also be said as BEDMAS.
CONDITIONS:
Parentheses or Brackets are always the first to be resolved in a given expression and are evaluated starting from the innermost ones.
Exponents or Orders are given the next priority.
Division and Multiplication are the next and are treated to be on the same level of precedence.
Addition and Subtraction are the last and are treated to be on the same level of precedence.
When operators on the same level of precedence, as a thumb rule, work from left to right.
Use this online Order of Operations Calculator to solve any given expressions using the BODMAS or PEDMAS rule.
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Example:
Consider an equation 25+(5*64+7)-10.
Applying the BODMAS/PEMDAS Rule:
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Simplify the equation inside the Bracket.
(5*64+7) Applying the rule inside the bracket, we first multiply 5x64, 5x64 = 320.
Add 7 along with it, 320 + 7 = 327
Now the equation becomes 25+327-10
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Step 2 :Here 2 operations (+, -) are involved.
As per the bedmas rule, order of operations is '+' then '-' (left to right)
Hence, 25 + 327 = 352= 352 - 10
= 342