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Where we should solve the factorial(!) in BODAMS ?

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This order of operations (BODMAS/ PEMDAS) questions has been shared hundreds of times on social media. The solution to these questions is a little bit more challenging.
There is a problem in BODMAS or PEMDAS that factorial sign is not covered in it. So the question arise where (which order) we should use the factorials in BODMAS. You will able to find this solution after study this article.

What is factorial sign (!)?

This symbol (!) in Mathematics means factorial it is like exclamation mark!.
If 3! then its solution is 3! = 3 x 2 x 1 = 6
If 5! then its solution is 5! = 5 x 4 x 3 x 2 x 1 = 120

Where we should solve the factorial(!) in BODMAS

Let us see technically where we should solve the factorial sign. Technically, factorial is a unary operator.
Writing 3n! may be creating some problem. 3n! means (3n)! But 3*n! mean 3(n!) therefore parentheses are helpful to solve some problems. We should understand it that 3n! And 3*n! are two different things.
For more clearance let us see following examples

Example 1  
Is 5*3!=  5*6=30 or 15!? 

The factorial sign is only at 3. Therefore we should solve factorial sign before multiplication. Or convert the factorial values into normal number.
5*3!
=5(3!)
=5*6
=30

Example 2
5+0*3! and (5+0*3)! are two different things. 

5+0*3!
= 5+0*6
=5+0
=5

But (5+0*3)!
= (5+0)!
= (5)!
= 5.4.3.2.1
= 120
Therefore solve the factorials just after the parenthesis.

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

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  • BODMAS Short Questions

  • What is BODMAS?
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  • What is order of operation?
  • ______________________

  • Who invented BODMAS?
  • ______________________

  • Solve 3 - 3 × 2 ÷ 6 = ?
  • ______________________

    BODMAS Questions

  • What is square root of 25?
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  • Solve 10 ÷ 4 of 5 =...?
  • ______________________

  • Solve 2 / 2 - 2 + 2 × 2 =...?
  • ______________________

  • 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 ... ?
  • ______________________



  • Solve 5 × (1/5) ÷ (1/5) ÷ (1/5) × 5 =...?
  • ______________________



  • 3 ÷ (5 ÷ 7) = (3 ÷ 5) ÷ 7
  • ______________________

  • Solve 4 - 2 ÷ (1/2) + 3 =...?
  • ______________________

  • Solve 2 - 2 × 2 - 2 ÷ 2 =...?
  • ______________________

  • Solve 3 - 3 × 3 - 3 ÷ 3 =...?
  • ______________________

  • Solve 4 + 4 × 4 - 4 ÷ 4 =...?
  • ______________________

  • Solve -1 + 2 × 0! =...?
  • ______________________

  • Solve -2 + 3! - 1 =...?
  • ______________________

  • Which step is wrong?
  • ______________________



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