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What-is-the-correct-answer-of-6-2-2+1-1-or-9 =...?

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Answer
    9
Explanation
Step by Step solution

The above question is about BODMAS or PEMDAS. Before solve this question you have understand about BODMAS and PEMDAS. Also study about what is difference between BODMAS, BEDMAS, BIDMAS, PEDMAS and PEMDAS?

Let us try to simplify above statement using the PEMDAS or BODMAS
question 6/2(2+1), brackets are exist so we have to solve the brackets first. In support of my answer check following further proof.

Step 1:   6 ÷ 2(1+2)    
                (parentheses first)
Step 2: = 6 ÷ 2(3)      
                (adding multiplication sign for further clarification)
Step 3: = 6 ÷ 2 * 3     
                (remember next Operation should be LEFT to RIGHT)
Step 4: = 3 * 3         
                (because 6 ÷ 2 = 3; remember LEFT to RIGHT)
Step 5: = 9             


Microsoft Excel

Let check it by MS Excel, SQL Server and other product of microsoft result. Excel give the result 9.

When I executed following statement in SQL Server Management Studio.
SELECT 6/2*(1+2)
SQL SERVER - Basic Calculation and PEMDAS Order of Operation equal. It is clear that Microsoft product also thinks that the answer should be 9.



Google

Let us ask Google what will be the answer of above question in Google. We get the same answer 6/2(1+2)=9



Wolframe

Let's move toward wolframe. The result still same i.e 9.



If 6/(2(1+2))

If the question is 6/(2(1+2)) in such case answer will be 1. because the extra set of parenthesis tell us to multiply first, then divide. but when 6/2(1+2) then answer will be 9.
6/(2(1+2))
6/(2(3))
6/(6)
1

Solve 6/2(1+2) from left to right

The question 6/2(1+2) is seen like (6/2)*(1+2) and 6/2 is first after the parenthesis you can distribute if you want 6/2*(1)+6/2*(2) = 3+6 = 9
If 6-2(1+2) then it would be 6-6=0 because the division would not be first so the multiplication would come first in this case. but when division is there, the division comes first because at that point we solve from left to right.
Division is the inverse of multiplication so they have the same order. Divide by 2 means multiply by (1/2). i.e. 6/2(3) = 6*(1/2)*(3) = 9



A theoratical question

There are 6 Mice, where always 2 mice become one pair. One pair gets 1 male mouse and 2 female mouse offspring. How many offspring do all mice together have?

Answer: 6 mice, 2 make a pair, so 6÷2=3. Offspring 1 male, 2 female (1+2)=3. 3*3=9.



All the above is clearly proof that answer should be 9. But some still think that Why answer of 6/2(2+1) should be 1.

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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
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  • Solve 5 × (1/5) ÷ (1/5) ÷ (1/5) × 5 =...?
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  • 3 ÷ (5 ÷ 7) = (3 ÷ 5) ÷ 7
  • ______________________

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

  • Solve 2 - 2 × 2 - 2 ÷ 2 =...?
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  • Solve -2 + 3! - 1 =...?
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  • Which step is wrong?
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