My Math Forum Definition of Division

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 July 1st, 2017, 10:21 AM #11 Newbie   Joined: Jun 2017 From: North Texas Posts: 19 Thanks: 1 I think this had been fully examined, thanks guys, I shall prepare more newbie questions to check your knowledge of course. =p Just jiving at the UK thing, I've heard people here call it BODMAS too.
July 1st, 2017, 01:18 PM   #12
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Quote:
 Originally Posted by MATHEMATICIAN $\displaystyle \frac{A+B+C+D}{E+F+G+H}\neq \frac{A}{E}+\frac{B}{F}+\frac{C}{G}+\frac{D}{H}$
In general you are absolutely correct of course but there are enough variables here to create a few exceptions to the rule. For example ,

$\frac{1 \ + \ 1 \ + \ 1 \ + \ 5 }{1 + (-2) + 1 + 2} = \frac{1}{1} + \frac{1}{-2} + \frac{1}{1} + \frac{5}{2}$

You can replace $5$ by any number you wish and it still holds true. LOL there are an infinite number of cases where it works ... but that is not enough.

Thought you might find this interesting

 July 2nd, 2017, 04:55 AM #13 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 "PEDMAS" can be remembered by the mnemonic "Please Excuse My Dear Aunt Sally". Is there a mnemonic for "BODMAS"?
July 2nd, 2017, 05:05 AM   #14
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Quote:
 Originally Posted by Country Boy Is there a mnemonic for "BODMAS"?
"Brother Of My Dear Aunt Sally".

 July 2nd, 2017, 11:18 AM #15 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 Also worth mentioning is that multiplication and division must be done in the order that they occur from left to right. For example if you encounter 12÷3x2 the correct answer is 8
 July 3rd, 2017, 10:29 AM #16 Senior Member   Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 393 Thanks: 71 When I was a math teacher, I provided the following order of operations: 1. Parentheses 2. Exponents 3. Multiplication/division 4. Addition/subtraction 5. Line division Notes: 1. Multiplication and division are equal in order. So is addition and subtraction. Whichever comes first, you do first. 2. "Line division" refers to a line drawn between the elements of an expression (as in the the second post).
July 3rd, 2017, 07:30 PM   #17
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Quote:
 Originally Posted by Timios When I was a math teacher, I provided the following order of operations: 1. Parentheses 2. Exponents 3. Multiplication/division 4. Addition/subtraction 5. Line division Notes: 1. Multiplication and division are equal in order. So is addition and subtraction. Whichever comes first, you do first. 2. "Line division" refers to a line drawn between the elements of an expression (as in the the second post).
Note number 2 is good I can see that causing confusion.

 July 9th, 2017, 11:47 AM #18 Senior Member   Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 393 Thanks: 71 Would it still cause confusion if examples were given? If so, please give an example of a possible confusion. Last edited by Timios; July 9th, 2017 at 11:50 AM.
July 9th, 2017, 08:50 PM   #19
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Quote:
 Originally Posted by Country Boy "PEDMAS" can be remembered by the mnemonic "Please Excuse My Dear Aunt Sally". Is there a mnemonic for "BODMAS"?
It's PEMDAS, not PEDMAS.

Big Ovary Dampens My Aunt Sally

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