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```    9
```
##### 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. ##### 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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##### 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 =..?

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###### Solve 7+7÷7+7×7-7 =...?

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###### Solve 3 + 5% =...?

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###### Solve 2e × 100% =...?

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###### 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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##### SHORTCUT TRICKS (Division)
• Divisible by 2 Shortcut trick
• Divisible by 3 Shortcut trick
• Divisible by 4 Shortcut trick
• Divisible by 5 Shortcut trick
• Divisible by 6 Shortcut trick • Divisible by 7 Shortcut trick • Divisible by 8 Shortcut trick • Divisible by 9 Shortcut trick
• Divisible by 10 Shortcut trick

##### Worksheets (Solved)

###### Integration     