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What is PEMDAS Rule...? Is PEMDAS and BODMAS are same ?

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Explanation
What is PEDMAS rule ?

PEDMAS stands for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction. PEDMAS is rule defines the correct sequence in which operations are to be performed in a given mathematical expression to find its value. When two or more operations given in a single expression, the PEDMAS tell us what to calculate first, second, third and so on, until the calculation is complete. In PEDMAS
P for Parentheses,
E for Order (Powers, Square Roots, etc)
MD for Multiplication and Division (Left to right)
AS for Addition and Subtraction(Left to right) .
To remember PEMDAS order of operations, you can remember PEMDAS as (Please excuse my dear Aunt Sally.)

PEMDAS EXPLANATION STEP BY STEP
1-Parenthesis
• 3 × (2 + 5) = ?

First solve the parenthesis (), {}, []. For example
= 3 × 7
= 21
If you ignored the parenthesis and did the sum 3 × 2 + 5 you would get 11 which will be wrong. You should notice how the parenthesis makes a difference to the answer.

2-Exponent
       3
• 5 + 2 = ? 

After solve parenthesis then you need to solve exponent (Square, Square Root, Cub Root etc).
= 5 + 8 (Solve power first 2^3 = 2 × 2 × 2 = 8)
= 13

3-Multiplication or Division
• 3 × 4 ÷ 2 =?

After solve parenthesis or exponent the next step is division and multiplication. Solve division and multiplication from left to right.
= 3 × 4 ÷ 2 (Solve from left mean 3 × 4 = 12)
= 12 ÷ 2
= 6

4-Addition or Subtraction
• 7 + 6 - 11 

After solve parenthesis, exponent, division and multiplication the next step is addition and subtraction. Solve addition and subtraction from left to right just like division and multiplication.
= 7 + 6 - 11
= 13 - 11
= 2

           2
Example • 7 + 7 ÷ (3 + 4) × 1 - 7


= 7^2 + 7 ÷ (3 + 4) × 1 - 7 (First solve the parenthesis 3 + 4 = 7 )
= 7^2 + 7 ÷ 7 × 1 - 7 (Now solve the exponent 7^2 = 49 )
= 49 + 7 ÷ 7 × 1 - 7 (Now solve division and multiplication from left to right)
= 49 + 1 × 1 - 7
= 49 + 1 - 7 (Now solve addition and subtraction from left to right)
= 50 - 7
= 43 (In above solution 7^2 mean 7 raise to power 2)

Above is a good example of PEMDAS because here we solve all operation of PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction)

PE(MD)(AS)

Because of the two required pairings in for PEMDAS, some teachers write it as PE(MD)(AS) or P-E-MD-AS to help students remember.

Difference between PEMDAS & BODMAS?

First letters of words representing various operations. BODMAS stands for Brackets, Order, Division, Multiplication, Addition, Subtraction PEDMAS stands for Parenthesis, Exponents, Multiplication, Addition, Subtraction
BODMAS is very common UK, Europe, West Africa, Nigeria, India, Pakistan etc. on the other hand PEMDAS famous in AMERICA.

In BODAMS we use B for brackets on the other hand in PEMDAS P use for parenthesis (), {}, []. The words are different but meaning is same.
Similarly in BODMAS we use O for Order but in PEMDAS Amarican use E for the word exponent. Different words but same meaning so there is also no difference.
Next is division and multiplication, in BODMAS we use division and multiplication in order. First we use division and then multiply i.e. 4 × 4 ÷ 2 = 4 × 2 = 8. But PEMDAS rule says solve multiplication and division from left to right i.e. 4 × 4 ÷ 2 = 16 ÷ 2= 8. Technically both results are still same.
Next is addition and subtraction. In BODMAS we use division and multiplication in order. First we solve addition and then subtraction. - 2 + 1 + 3 = - 2 + 4 = 2. But PEDMAS rule says solve addition and subtraction from left to right - 2 + 1 + 3 = - 1 + 3 = 2. Technically both results are still same.
There is no difference between BODMAD and PEDMAS. They are technically same.

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ORDER OF OPERATION ([{(-)}], ()^2 √ , ÷, ×, +, -)

  • What is the correct answer of 6/2(2+1)=? (1 or 9)NEW
  • How MATHEMATICIANS explain answer of 6/2(2+1)=? (1 or 9)NEW
  • Why the answer of 6/2(2+1) should be 9NEW
  • What is the denominator in 6/2(2+1)=? (2, (2+1), 2(2+1), Any other)NEW


  • What is BODMAS? Why we use it?NEW
  • What is PEMDAS? What is different between PEMDAS and BODMAS?NEW
  • What is difference between BODMAS, BEDMAS, BIDMAS, PEDMAS and PEMDAS?NEW

  • Who invented the BODMAS? When BODMAS was introduced?NEW
  • Where we should solve the factorial(!) in BODMAS ? NEW
  • When percentage(%), logarithms and trigonometric involve in BODAMS. How we solve it? NEW

  • Why PEMDAS create confusions?NEW
  • BODMAS Short Questions

  • What is BODMAS?
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  • What is order of operation?
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  • Who invented BODMAS?
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  • Solve 3 - 3 × 2 ÷ 6 = ?
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    BODMAS Questions

  • What is square root of 25?
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  • Solve 10 ÷ 4 of 5 =...?
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  • Solve 2 / 2 - 2 + 2 × 2 =...?
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  • Solve 10-4×0+3÷3 =..?
  • ______________________

  • Solve 7+7÷7+7×7-7 =...?
  • ______________________

  • Solve 3 + 5% =...?
  • ______________________

  • Solve 2e × 100% =...?
  • ______________________

  • If √(0.04)(0.4)a = (0.4)(0.04)√b then a/b ... ?
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  • Solve 5 × (1/5) ÷ (1/5) ÷ (1/5) × 5 =...?
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  • 3 ÷ (5 ÷ 7) = (3 ÷ 5) ÷ 7
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  • Solve 4 - 2 ÷ (1/2) + 3 =...?
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  • Solve 2 - 2 × 2 - 2 ÷ 2 =...?
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  • Solve 3 - 3 × 3 - 3 ÷ 3 =...?
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  • Solve 4 + 4 × 4 - 4 ÷ 4 =...?
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  • Solve -1 + 2 × 0! =...?
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  • Solve -2 + 3! - 1 =...?
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  • Which step is wrong?
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