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3 ÷ (5 ÷ 7) = (3 ÷ 5) ÷ 7

___________________________________________

Answer
    None
Explanation

The above question is look like it is true for associative law. But associative law does not work for division.

Let us solve the above statement by taking L.H.S. and R.H.S.


    3 ÷ (5 ÷ 7) = (3 ÷ 5) ÷ 7

    L.H.S.
    3 ÷ (5 ÷ 7) 
    = 3 ÷ (5/7)
    = 3 × (7/5)
    = 21/5
    
    R.H.S.
    (3 ÷ 5) ÷ 7
    = (3/5) ÷ 7
    = (3/5) × (1/7)
    = (3/35)
                    
    3 ÷ (5 ÷ 7) ≠ (3 ÷ 5) ÷ 7

Therefore above statement is false and answer is 'none'

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Note

Commutative law and Associative law work for addition and multiplication
Commutative law and Associative law does not work for subtraction and division.


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

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  • What is the denominator in 6/2(2+1)=? (2, (2+1), 2(2+1), Any other)NEW


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  • 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?
  • ______________________

  • Solve 10 ÷ 4 of 5 =...?
  • ______________________

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

  • Solve 10-4×0+3÷3 =..?
  • ______________________

  • Solve 7+7÷7+7×7-7 =...?
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  • Solve 3 + 5% =...?
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  • 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?
  • ______________________