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Originally posted by IamBoon
Distribution is not used as it is not necessary for the problem.
A simple rule can help you remember how you can combine operations and how you cannot — which distributions are legal and which are illegal.
The Solution
Think of a small house. It’s got a basement, a ground floor, and an attic. You can’t jump right from the basement to the attic, can you? But you can take stairs between the basement and ground floor, or between the ground floor and the attic.
You combine operations just like that. If the operations are on adjacent levels, you can combine them; otherwise you can’t. What are the levels? Forget PEMDAS; there are really only three operations to be concerned with:
house floors ~~ operations
attic ... ~~ powers and roots
ground floor ~~ multiply and divide
basement ~~ add and subtract
And the rule is very simple:
You can distribute any operation over an operation one level below it.
There are no other distributions.
Originally posted by IamBoon
Order of Ops
www.purplemath.com...
www.mathgoodies.com...
www.aplusmath.com...
how far can u get?^^^^
Distribution.....
en.wikipedia.org...
www.coolmath.com...
The order of operations was settled on in order to prevent miscommunication, but PEMDAS can generate its own confusion; some students sometimes tend to apply the hierarchy as though all the operations in a problem are on the same "level", but often those operations are not "equal". Many times it helps to work problems from the inside out, rather than left-to-right, because often some parts of the problem are "deeper down" than other parts.
Originally posted by IamBoon
reply to post by Honor93
Relating math to extraneous and unaffiliated viewpoints is not necessary. I am sure it is a fallacious type of argument as defined....
nizkor.org...
The answer changes to 1 if the problem is expressed and arranged differently .... which is key.
6
------
2(2+1)
is different than 6/2(2+1)=
Why? Ask the experts who find it more coherent that way. I will ask a professor tomorrow.edit on 2-5-2011 by IamBoon because: research into why there is confusion because it is interesting to see what happened.
Originally posted by Honor93
Originally posted by IamBoon
Order of Ops
www.purplemath.com...
www.mathgoodies.com...
www.aplusmath.com...
how far can u get?^^^^
Distribution.....
en.wikipedia.org...
www.coolmath.com...
hmmmm, interesting links ... shame none of them apply to this topic.
roots and radicals?
distribution "theory"? in higher mathematics applies to this conversation how exactly?
from your "purple" link ...
The order of operations was settled on in order to prevent miscommunication, but PEMDAS can generate its own confusion; some students sometimes tend to apply the hierarchy as though all the operations in a problem are on the same "level", but often those operations are not "equal". Many times it helps to work problems from the inside out, rather than left-to-right, because often some parts of the problem are "deeper down" than other parts.
hence the order to multiply the lower level addition in parenthesis.
"mathgoodies" doesn't apply either because they do not explain or provide an example of an "order" upon the calculation in parenthesis. 6 x (5+4) is the same and calculated the same as 6(5+4) ... basics my friend.
6 x (5+4) = 54 whereas ... 6(5+4) = (6x5) + (6x4) = (30 + 24) = 54
the expanded method does not produce a different result.
and as for your interesting calculation tester ... got any challenging ones? even the negatives aren't a challenge, been there, done that
Originally posted by IamBoon
And I am going to find out from a professor tomorrow because arriving at 2 answers from the same equation is nonsense. I can see what you are saying, but can you see where I am coming from? Many sites say to do what I am implying yet, some sites imply you are right. Same with the calculators. If he tells me different than from what I am taught in the same school then my teacher will have to answer.
If not then will you answer?
because arriving at 2 answers from the same equation is nonsense.
but can you see where I am coming from?
If not then will you answer?
Originally posted by IamBoon
reply to post by Honor93
I get it now.... what you are saying and I believe I am taught wrong... THANK YOU!
Because and ONLY because the first operation is Division does the underlying set of equations become distributed amongst themselves right? Which is obvious when written as a fraction. Right?