




Joined: Feb 2011
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BellaOnline Editor Gecko

OP
BellaOnline Editor Gecko
Joined: Feb 2011
Posts: 469 
Have you seen this question going round on Facebook?
6ï¿½2(1+2)=?
What do you think?













Joined: Jan 2009
Posts: 60,166
Highest Posting Power Known to Humanity

Highest Posting Power Known to Humanity
Joined: Jan 2009
Posts: 60,166 
I recall the Order of Operation in an arithmetic equation was/is: Parentheses  Power (Exponent, in some terms)  Multiplication/Division  Addition/Subtraction. This could be remembered by the memonic fo PPMDAS  Pretty Please My Dear Aunt Sally. M/D & A/S are worked from left to right in order.
Thus, the equation would go: 6ï¿½2(1+2) 6ï¿½2*3 3*3 9 Yes, that is my final answer.
Others work out of 'lefttoright' sequence & come up with: 6ï¿½2(1+2) 6ï¿½2(3) 6ï¿½6 1
Last edited by Beetlemess; 04/28/11 01:31 PM.
B "We do not inherit the Earth from our ancestors, we borrow it from our children."













Joined: Jun 2009
Posts: 4,108
BellaOnline Editor Elephant

BellaOnline Editor Elephant
Joined: Jun 2009
Posts: 4,108 
The correct answer is 1. The second way you worked out the equation was correct, Beetle.













Joined: Jan 2009
Posts: 60,166
Highest Posting Power Known to Humanity

Highest Posting Power Known to Humanity
Joined: Jan 2009
Posts: 60,166 
But you work from left to right when conducting the mathematical operation when working the expression. Can you give me a reference that refutes the standard order of operation?
Further explanation addresses the Associative Properties as a computational strategy. The equation can be rewritten out as:
Six divided by two times the quantity of one plus two or Six divided by two times three
These can be grouped & yield the answers:
(6ï¿½2)*3 = 3*3 = 9 working left to right 6ï¿½(2*3)= 6ï¿½6 = 1 working right to left
Division indicates the multiplication of the inverted number, or written out:
6 * 1/2 * (1+2) => (6*3)/2 => 18/2 => 9
Want me to prove that zero equals one? Or how to work a slide rule?
Try the equation on a calculator that has the parenthesis. My Texas Instruments TI30 SLR+ gives the answer as 9.
Final answer & I still don't need to call a friend or get audience voting.
B "We do not inherit the Earth from our ancestors, we borrow it from our children."













Joined: Jul 2010
Posts: 6,412
Tiger

Tiger
Joined: Jul 2010
Posts: 6,412 
LOL, how do we know the answer? Is it posted somewhere or are we going by our Bella EXPERTS I am so impressed with how Beetle just jumps in and figures stuff out  way to go Mr. Math!!!!













Joined: Jan 2009
Posts: 60,166
Highest Posting Power Known to Humanity

Highest Posting Power Known to Humanity
Joined: Jan 2009
Posts: 60,166 
Had enough math in getting my degree... & all I wanted to do was fly, so I went the Aerospace route. Okay, I am a rocket scientist.
< addition: My studies came before desktop computers & cheap scientific calculators. It was pencil & paper crunching out the numbers. >
Last edited by Beetlemess; 04/29/11 11:43 AM.
B "We do not inherit the Earth from our ancestors, we borrow it from our children."













Joined: Jun 2009
Posts: 4,108
BellaOnline Editor Elephant

BellaOnline Editor Elephant
Joined: Jun 2009
Posts: 4,108 
My husband is the math expert, not me, although I do help students with it in the private school I volunteer at. I will ask others at school about it Monday and will have my husband look at it again later when he gets home, but from what I have learned, it is worked in the following way.
You need to use distributive property in this problem. First things first, (1+2) =3 .
6 / 2(3) 6 / 6 = 1
You need to eliminate the parentheses before you can move on to dividing.













Joined: Apr 2011
Posts: 4
Newbie

Newbie
Joined: Apr 2011
Posts: 4 
Well I'm definitely no rocket scientist, but I have stayed in a Holiday Inn Express! :)
I also had a middle school algebra teacher who REFUSED to let me sleep in his class (Thank you Mr.Brammer!)
I consulted [i]Basic Rules of Algebra, Algebraic Fractions, Laws of Exponents, and Roots/Radicals[/i] by Charles Ormsby.
He states "Letters or symbols should be considered placeholders for numbers...)
Let's replace the 2 inside the parenthesis with x and see how this problem works out
6 / 2(1+x)
6 / (2+2x)
or on a blackboard would be written
[u]6[/u]
(2+2x)
plug 2 back in for x and you get 1
You are correct Lisa
Using a variable forces you to keep the parenthesis and use the distributive property, which you should do anyway.
Mr.Brammer forced us to work hundreds of these on the blackboard in front of the class. (This was before schools worried about kid's "self esteem) He didn't care to berate you a little if you kept getting them wrong.
Thanks again Mr.Brammer, RIP













Joined: May 2010
Posts: 10,875 Likes: 28
BellaOnline Editor Medieval Human

BellaOnline Editor Medieval Human
Joined: May 2010
Posts: 10,875 Likes: 28 
Odd thing to be going around on Facebook.
But the answer is 1.
In the right hand term, 2+1 in brackets equals 3, just as it does when it's not in brackets. Multipled by the 2 next to it, you get 6. 6 divided by 6 is 1.













Joined: Feb 2011
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BellaOnline Editor Gecko

OP
BellaOnline Editor Gecko
Joined: Feb 2011
Posts: 469 
Well we know to do the brackets first and 2+1 = 3 but when once you get 6/2(3) the question is, where do you go from there? If it were written 6 / 2 x 3 the answer would be 9 but if the 3 were an x and it were written 6/2x, the answer would be 1












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