# 6÷2(1+2) = x Solve for x

Discussion in 'Sidewinders Bar & Grille' started by PCollen, Aug 14, 2021.

## 6÷2(1+2) = x Solve for x

Poll closed Aug 16, 2021.

45.1%
2. ### 9

54.9%
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1. ### CB91710No GAS shortage hereDouble Platinum Supporting Member

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Well... Two adjacent terms imply multiplication of the terms, so simplifying the terms "27":
27
2*7=14
1*4=4

Thus, 27 = 4

2. ### Bob the builderMost Honored Senior Member

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Now I want some pi

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3. ### eclecticsynergySenior Stratmaster

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The equation is not: (6÷2)(1+2) = x
Solving that for x would give you 9. No argument.

The equation, though, is: 6÷2(1+2) = x
So the answer has to be 1.
Unless arithmetic has changed a lot since I learned it.

4. ### fernank017Strat-Talk Member

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This thread is a vicious cycle. Every time someone new chimes in, it gets revived again and the cycle of 1 vs 9 continues. The correct answer is the friends we made along the way <3.

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5. ### dbb541Strat-O-Master

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I
I just got off a conference call with Kieth Devlin and Terence Tao. They both said the answer is 9.

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6. ### AxemanVRI appreciate, therefore I am...Silver Member

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Ok, so I finally found some time to track down my old Algebra textbook (imagine that, I actually did study something higher than 3rd grade math!):

And the very first chapter was about the “Order of Operations”.

Take a look at this practice exercise (most notably “Problem 1d.”):

Now, if the answer is “1” for the expression 6÷2(1+2)=x that’s being debated in this thread, then calculating the difference should look something like this, right?:

Therefore, according to the group that supports the “1”, answer, the expression 24÷6x2 should also look something like this (with the solution being “2”, right?):

But when checking the answer in the back of the book, the correct answer for Exercise 1-4 Problem 1d. is “8”:

So, clearly, the equation is actually more like this:

or

Which obviously coincides more with the expression on the right than the expression on the left shown here:

So, it appears that there is actually a precedence for 6÷2(1+2) to equal “9”.

And before someone brings up “distributive properties”, that appears to have no relevance here either, since 6÷2(1+2)=(6÷2)x(1+2) making (6÷2) separate from (1+2) using modern Algebra.

I will concede that the examples in this Algebra textbook do not show the exact equation being debated in this thread, so I can well imagine that the “1” camp will probably use that to punch holes in this example, but it does at least support the notion that not everything following a division symbol is necessarily part of the denominator in a fraction...

...so take that for what it’s worth...

Last edited: Aug 22, 2021
7. ### ZlurkCorzDogINMATE #7XX7XX7

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Old Guy, The-Kid and circles like this.
8. ### circlesResident Pinball Enthusiast

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Man, don't think about numbers, man, it's just The Man trying to keep you down, man!

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9. ### The Strat DudePosy rules!

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10. ### The-KidDr. Stratster

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Here your actually following the correct order of operations and the properties of math.

There are no parenthesis so you can clean start from left to right regardless of whether division or multiplication comes first and your not disrupting any properties here or order of operations.

When there is a number next to parenthesis then you have to evaluate the number and whatever is inside the parenthesis as a term and solve for it before it is divided or multiplied.

Order of operations follows properties of math, order of operations are as such because they follow the properties of math and again here starting from left to right is the correct way because there are no parenthesis to begin with, the numbers themselves are plain terms with no further break downs needed so you straight out just start going from left to right.

You get a golden star sticker and 100% for the result of this equation lol !!!! *_*

11. ### JB74Senior Stratmaster

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Jimi was a mathematician.

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12. ### Bob the builderMost Honored Senior Member

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Let's change it to a word problem
The kid has 6 more days of school left
He already knows he's gonna bunk half of em but still needs to buy his food while he's there
Breakfast cost \$1.00 + lunch cost \$2.00
How much money will the kid need to eat ?

If ya only got a buck you're going hungry

13. ### Boneman68Strat-TalkerPlatinum Supporting Member

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To get 1, the formula would need to be written 6 / (2(1+2)

14. ### The-KidDr. Stratster

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Math is so simple at its core....yet its so hard for even the "smart guys" to understand.

Last edited: Aug 22, 2021
15. ### The-KidDr. Stratster

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Nice word problem.

Heres another......

5 self proclaimed builders have 2400 feet of fencing and want to fence off a rectangular field that borders a straight river. They need no fence along the river. What are the dimensions of the field that has the largest area?

Answer: none of them actually understand real math so they ask the manager at Home-Depot who went to a respectable college for the answer.

16. ### Bob the builderMost Honored Senior Member

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17. ### Bob the builderMost Honored Senior Member

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Got me
The sq footage would be the same no matter how it was laid out
Wait
I got myself
Changing my answer to 800 x 800
640,000 sq feet

Last edited: Aug 22, 2021
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18. ### bard119Strat-Talk Member

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19. ### The-KidDr. Stratster

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Once more regarding the 5 builders.

Answer: none of them actually understand real math so they ask the manager at Home-Depot.

Last edited: Aug 22, 2021
20. ### Bob the builderMost Honored Senior Member

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