# 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

 Jan 04, 2014 apply PEMDAS by: Staff Answer Part I 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 ----------------------------------------------

 Jan 04, 2014 apply PEMDAS by: Staff ---------------------------------------------- Part II But first, insert any operators not shown in the original expression: 6 / 2 (1 + 2) = 6 / 2 * (1 + 2) ----------------------------------------------

 Jan 04, 2014 apply PEMDAS by: Staff ---------------------------------------------- Part III 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) ----------------------------------------------

 Jan 04, 2014 apply PEMDAS by: Staff ---------------------------------------------- Part IV Step 2: evaluate EXPONENTS PEMDAS order of evaluation: parentheses, EXPONENTS, multiplication, division, addition, subtraction There are no exponents to evaluate. 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. ----------------------------------------------

 Jan 04, 2014 apply PEMDAS by: Staff ---------------------------------------------- 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 the problem is read from left to right, the next operation encountered is multiplication: 3 * (3) = 3 * 3 = 9 ----------------------------------------------

 Jan 04, 2014 apply PEMDAS by: Staff ---------------------------------------------- Part VI Final Answer: 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. ------------------------------------------------------- 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 ----------------------------------------------

 Jan 04, 2014 apply PEMDAS by: Staff ---------------------------------------------- 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

 Sep 27, 2019 pemdas= 2000 by: Anonymous i need help with finding an equation with pemdas which has to equal 2000 but I cannot use 1 or 0

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