Easy and simple way to remember PEMDAS rule!!
P → Parentheses first
E → Exponent (Powers, Square Roots, Cube Roots, etc.)
MD → Multiplication and Division (start from left to right)
AS → Addition and Subtraction (start from left to right)
Note:
(i) Start Multiply/Divide from left side to right side since they perform equally.
(ii) Start Add/Subtract from left side to right side since they perform equally.
Steps to simplify the order of operation using PEMDAS rule:
First part of an equation is start solving inside the 'Parentheses'.
For
Example; (7 + 8) × 3
First solve inside ‘parentheses’ 7 + 8
= 15, then 15 × 3 = 45.
Next solve the mathematical 'Exponent'.
For Example; 3^{2}+ 5Next,
the part of the equation is to calculate 'Multiplication' and 'Division'.
We know that, when division and multiplication follow one another, then their
order in that part of the equation is solved from left side to right side.
For
Example; 21 ÷ 7 × 12 ÷ 2
‘Multiplication’ and ‘Division’ perform equally, so calculate from left to right side. First solve 21 ÷ 7 = 3, then 3 × 12 = 36, then 36 ÷ 2 = 18.
In the last part of the equation is to calculate 'Addition' and 'Subtraction'. We know that, when addition and subtraction follow one another, then their order in that part of the equation is solved from left side to right side.
For
Example; 9 + 11  13 + 15
‘Addition’ and ‘Subtraction’ perform equally, so calculate from left to right side. First solve 9 + 11 = 20, then 20  13 = 7 and then 7 + 15 = 22.
These are simple rules need to be followed for simplifying or calculating using PEMDAS rule.
In brief, after we perform "P" and "E", start from left side to right side by solving any "M" or "D" as we find them. Then start from left side to right side solving any "A" or "S" as we find them.
● Related Concept
● Decimals
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules  Involving Decimals
● PEMDAS Rules  Involving Integers
● PEMDAS Rules  Involving Decimals
● BODMAS Rules  Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● Simplify Decimals Involving Addition and Subtraction Decimals
● Multiplying Decimal by a Decimal Number
● Multiplying Decimal by a Whole Number
● Dividing Decimal by a Whole Number
● Dividing Decimal by a Decimal Number
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