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Markinsa

6 ÷ 2(1+2) = 1 or 9

6 ÷ 2(1+2) = 1 or 9  

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  1. 1. 6 ÷ 2(1+2) = 1 or 9

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    • 9
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So, long ago people agreed to follow rules when doing calculations, and they are:

 

Order of Operations

 

Do things in Parentheses First. Example:

 

yes 6 × (5 + 3) = 6 × 8 = 48

 

no 6 × (5 + 3) = 30 + 3 = 33 (wrong)

 

Exponents (Powers, Roots) before Multiply, Divide, Add or Subtract. Example:

 

yes 5 × 22 = 5 × 4 = 20

 

no 5 × 22 = 102 = 100 (wrong)

 

Multiply or Divide before you Add or Subtract. Example:

 

yes 2 + 5 × 3 = 2 + 15 = 17

 

no 2 + 5 × 3 = 7 × 3 = 21 (wrong)

 

Otherwise just go left to right. Example:

 

yes 30 ÷ 5 × 3 = 6 × 3 = 18

 

no 30 ÷ 5 × 3 = 30 ÷ 15 = 2 (wrong)

 

 

How Do I Remember It All ... ? PEMDAS !

 

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

 

Divide and Multiply rank equally (and go left to right).

 

Add and Subtract rank equally (and go left to right)

 


Oh, yes, and what about 7 + (6 × 52 + 3) ?

 

7 + (6 × 52 + 3)

 

7 + (6 × 25 + 3) Start inside Parentheses, and then use Exponents First

 

7 + (150 + 3) Then Multiply

 

7 + (153) Then Add

 

7 + 153 Parentheses completed, last operation is an Add

 

160 DONE !

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The answer is 1.  First solve in the (2+1) = 3.  Then multiply 3 X 2 = 6.  Then divide 6 / 6 = 1.

 

Try this one.  My 9th grade algebra teacher, Mr. Wiley would always put up a brain teaser and leave it on the board until we figured it out.  He was a great teacher, the kind that taught you not just algebra but how to think.  This one stayed on the board until the end of the semester.  I have several teacher friends that have taken it to their math departments and almost no one can figure it out.  I give you for your ciphering pleasure 2 = 1.

 

 

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The answer is 1.  First solve in the (2+1) = 3.  Then multiply 3 X 2 = 6.  Then divide 6 / 6 = 1.

 

Try this one.  My 9th grade algebra teacher, Mr. Wiley would always put up a brain teaser and leave it on the board until we figured it out.  He was a great teacher, the kind that taught you not just algebra but how to think.  This one stayed on the board until the end of the semester.  I have several teacher friends that have taken it to their math departments and almost no one can figure it out.  I give you for your ciphering pleasure 2 = 1.

 

 

Actually, the answer is nine (9).

 

You calculate left to right:

 

6 ÷ 2(1+2) = 1 or 9

 

3 (2+1) = 9

3 (3) = 9

 

 

.

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I stand corrected. I was mistakenly thinking of the division sign as an equal sign and solving both sides of the equation. Good one, but can you find the flaw in 2=1?

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I stand corrected. After seeing this example " 30 ÷ 5 × 3 = 6 × 3 = 18"
 
I see where I was flawed in my thinking. I am not a math wiz but I know how to. 

 

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I was taught Please Excuse My Dear Aunt Sally to help remember the calculation order.

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sml_gallery_48986_1134_32691.jpg

 

I stand corrected. I was mistakenly thinking of the division sign as an equal sign and solving both sides of the equation. Good one, but can you find the flaw in 2=1?

 

When you start breaking it down, you end up with 0 = 0 and you're dividing by 0, which you can't do.  :P

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I am and have been a Algebra 1 and Pre-Algebra teacher for the past 26 years. Those of you who have said that you solve what is inside the parentheses first ( 1 + 2 ) equaling 3 are correct. This is because parentheses is the highest priority and must be done first. I

Where the majority of people fail is where they believe that multiplication has to be done next because they are following the Please Excuse My Dear Aunt Sally protocol or PEMDAS. This is where there is a misunderstanding.

Multiplication and division are on the same priority level of importance in terms of when we finally get to use these skills The other rule then that has to used is to answer the question, "which math operation is on the left hand side of the remaining equation?"

The remaining equation is: 6 / 2 ( 3 ). So we must divide 6 by 2 which equals 3. Finally we perform the last math operation of multiplication and 3 ( 3 ) = 9. I hope this helps.

When I teach these concepts, I always show the math with a written explanation as to why we took a specific action. I don't want to create robots but thinking people who know why a certain action was required at a given point within an equation. Even when I have my stronger students tutoring other classmates, I always make sure I hear them ask the other student, "why did you solve this part of the equation next?" I tell them to wait until they are given an explanation before moving on.

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When you start breaking it down, you end up with 0 = 0 and you're dividing by 0, which you can't do.  :P

 

 

Winner winner chicken dinner, you are correct (and more observant than most of the math department at USD035).  What Mr. Wiley wanted to demonstrate is that you can add, subtract, and multiply with 0 and still have a correct answer but if you divide by 0 the only correct answer is “undefined”.

 

Thanks Mark, for the Friday night brain exercise.  It’s like anything else in that if you do not exercise the brain, atrophy will set in (and judging by current events cranial atrophy has already set in on much of the population).

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the answer  is correct !      the sum is equal too the  equation ,  the  end values are  equal in amounts,  take the   equation and  divide them with each other and  it is  1   

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I choose 9 based on what I was taught...!  :salute: An interesting equation  :confused2: Thanks for posting...!

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I have a pretty good accountant and if I ask him this equation his answer would be  " what do you want it to equal?" 

 

But Of course its 9  - Thanks Markinsa

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This is not algebra, although you can solve it with algebra. It is a simple, 7th grade division problem.  Everyone is trying to make it so difficult and are getting confused.  It is the number 6 divided by the number 2(2+1). Now set it up as a division problem and solve.

 

    6                         6                     6

----------- =        ------------=           ----=  1          

 

2(2+1)                   4+2                   6

 

 

 

2(2+1) is one number and must be cleared before you divide into six.  I believe that is where the confusion has arisen.

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