David H.

asked • 05/24/14

12 - 2 x 6 + 2/2 = ?

I'm in a debate with my brother about the order of operations with this one. Is the answer 1 or -1? 
Please show your work. 
Thanks!

David H.

What it all boils down to is the final simplification before solving. 
is it
12-(12+1) =
or
(12-12)+1=
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05/24/14

Philip P.

It's 12-12 + 1.  It would be incorrect to distribute the minus sign to the +1 term as in -(12+1).  That's why it's better to think of it as 12 + (-12) + 1.  Then it doesn't matter what order you do things in, it comes out the same.
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05/24/14

Philip P.

Another way to think of it is that you want to add the first 12 and the 1 to get +13, then subtract the remaining 12.
 
12 - 12 + 1 = (12 + 1) - 12 = 13 - 12 = 1
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05/24/14

Arthur D.

tutor
When you say final simplification look at it this way:You add and subtract in order from left to right, whichever occurs first. The last part of the problem was 12-12+1;12-12=0, 0+1=1.
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05/24/14

Arthur D.

tutor
In the final simplification you add and subtract in order from left to right, whichever occurs first.
12-12+1, 12-12=0, 0+1=1
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05/24/14

1 Expert Answer

By:

Philip P. answered • 05/24/14

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