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6/2(1+2)=9 apply order of operations











































PEMDAS - operator precedence

Which mathematical operations should be performed first, second, etc.?

6/2(1+2)=9 or 6/2(1+2)=1

Some say the equation is in reality 6 / 2 x (3) = 6/6 =1

Others say the equation is in reality 6/2 = 3 x (1+2) or 3 x (3) = 9

I myself say the correct answer is 9. It is a fairly 50/50 consensus with the answers as 9 and the other 50% saying the answer is 1.

Comments for 6/2(1+2)=9 apply order of operations

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Jan 04, 2014
apply PEMDAS
by: Staff



Answer

Part I


6 / 2 (1 + 2) = ?



6/2(1+2)=?





The expression appears to be ambiguous, but it is not.

To simplify this expression:

Use the PEMDAS order of operations.

PEMDAS order tells you what mathematical operation to complete first, second, . . . etc.

PEMDAS stands for the following mathematical procedures in exactly this order: parentheses, exponents, multiplication, division, addition, subtraction



Expression not ambiguous using PEMDAS order of operations






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Jan 04, 2014
apply PEMDAS
by: Staff


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Part II



Simplify the expressing using PEMDAS order of operations






 Simplify the expression using PEMDAS order of operator precedence






But first, insert any operators not shown in the original expression:


6 / 2 (1 + 2)

= 6 / 2 * (1 + 2)








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Jan 04, 2014
apply PEMDAS
by: Staff


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Part III



insert any operators not shown in the original expression






Step 1: evaluate PARENTHESES

PEMDAS order of evaluation: PARENTHESES, exponents, multiplication, division, addition, subtraction

6 / 2 * (1 + 2)

There is one parentheses to evaluate: (1 + 2)

(1 + 2)

= 1 + 2

= 3



After evaluating the expression inside the parentheses, the expression looks like this:

6 / 2 * (3)



PEMDAS - first, evaluate the expression inside the parentheses






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Jan 04, 2014
apply PEMDAS
by: Staff


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Part IV



Step 2: evaluate EXPONENTS


PEMDAS order of evaluation: parentheses, EXPONENTS, multiplication, division, addition, subtraction

There are no exponents to evaluate.




PEMDAS - second, evaluate exponents





Step 3: Now What? The entire PEMDAS system seems to break down.

6 / 2 * (3)


Since the expression is unclear, read from left to right.



 third, since the expression is unclear, read from left to right







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Jan 04, 2014
apply PEMDAS
by: Staff


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Part V



When the problem is read from left to right, the first operation encountered is division:

6 / 2

= 6 / 2

= 3

After completing the division, the expression looks like this:

3 * (3)



when reading from left to right, the first operation encountered is division





When the problem is read from left to right, the next operation encountered is multiplication:

3 * (3)


= 3 * 3


= 9




 step 4:  When the problem is read from left to right, the next operation encountered is multiplication






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Jan 04, 2014
apply PEMDAS
by: Staff


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Part VI


Final Answer:

9


6/2(1+2) = 9





When the meaning is unclear, read from left to right.

Reading the expression from left to right will eliminate the problems between PEMDAS, BEDMAS (Canadian system), BIDMAS (UK), or BODMAS (UK) as the order of operations.
Reversing the MD in PEMDAS for DM in Canadian and British systems will not change the answer.

When the expression is carefully read and evaluated from left to right, the results of all systems are the same.



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Verify that the answer really is “9” using a free "Formula" Calculator.


The correct answer is based upon PEMDAS . . . PAMDAS applied mechanically.


A Formula Calculator (Smart Calculator) automatically takes PEMDAS order into account.

The person using the calculator does not need to be concerned about which numbers to evaluate 1st, 2nd, 3rd, etc.

Type the entire expression into the “formula” calculator, just as it appears:

6 / 2 (1 + 2), or 6 / 2 * (1 + 2)

Don’t change anything.

Press enter



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Jan 04, 2014
apply PEMDAS
by: Staff


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Part VII



You can download free formula calculators here:



Free Formula Calculators

Download or Use "SMART" Calculators on-line for Free


http://calcute.com/


http://www.fox-toolkit.org/download.html


http://www.google.com/search?hl=en&q=2%2B2%3D&btnG=Search


http://www.alemoi.com/math/








Thanks for writing.

Staff
www.solving-math-problems.com


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