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So that is the order of operations and precidence that we are supposed to use now in situations like these.
I couldn't find out when these practices became the standard. It is what I was taught, and that was more than a few years ago.
Quote: avianrandyThe problem is shown as I seen it....no brackets,parenthesis etc.
You don't need brackets, parenthesis etc. The order of operations is rigidly defined in the absence of such. At school, we called it BODMAS, though variations on terminology do exist.
Brackets, Of, Divide, Multiply Add, Subtract
Later we needed to worry about Exponentiation etc, but that got me through primary school.
Quote: OnceDearYou don't need brackets, parenthesis etc. The order of operations is rigidly defined in the absence of such. At school, we called it BODMAS, though variations on terminology do exist.
Brackets, Of, Divide, Multiply Add, Subtract
Later we needed to worry about Exponentiation etc, but that got me through primary school.
I learned it as BEDMAS
Brackets, exponents, divide and multiply (in the order they appear), add and subtract (in the order they appear)
Edit: Note that I wish this wasn't a poll.
People who are on the fence would find a way to come up with the one answer getting all the votes.
Quote: DJTeddyBearI can't believe that anyone who remembers High School math would get it wrong.
I can actually believe that some who went to college and studied accountancy can get it wrong, A member of my family did when this was doing the rounds on facebook. I was stunned.
This is primary school stuff. ( Though Mrs Wood, my primary school teacher of 4x years ago didn't explain the 'o' of 'of' very well because she may have not studied 'order of')
Quote: avianrandy7 + 7 / 7 + 7 X 7 - 7 =
A few ways to do it. Really depends on the spacing (since there are no brackets/parenthesis). The way it's written, I'd make it look like:
7 + (7/7) + (7*7) - 7 =
7 + 1 + 49 - 7 =
50
Granted, had there been different spacing, ie:
7+7 / 7+7 * 7-7
I'd make it look like:
(7+7) / (7+7) * (7-7) =
(14/14) * (0) =
0
The best way to write it, is of course, with parenthesis. Had there been no parenthesis, I believe the best way to write it would be:
7 + 7/7 + 7*7 - 7
Or perhaps:
7+7 / 7+7 * 7-7
The two statements above would not be the same (different answer due to spacing / parenthesis).
Essentially, the spacing would/could be used in space of parenthesis
Quote: RSA few ways to do it. Really depends on the spacing (since there are no brackets/parenthesis). ...
Adding parenthesis when it's not explicitely required eliminates doubt and can be useful where we have expressions typed out such as 1/2x where subscript and superscripts are not available.
Quote:Had there been no parenthesis, I believe the best way to write it would be:
7 + 7/7 + 7*7 - 7
That might indeed have been a better way of writing it which would have helped the reader to implicity see the order of precedence. It's a cognitive aid.
I think that we agree that changing or inserting parenthesis would or could define the meaning of the formula depending on where they are put. We could indeed get a different answer due to parenthesis
However, as I understand it we should not get a different answer based on spacing alone ( grouping expressions with spaces or lack of spaces) because spacing is not part of the language of algebra. As I understand it order of precedence is pretty formally defined and it takes no account of spacing, with spacing having no part to play in deciding precedence.
I believe that writing an expression in the form 7+7 / 7+7 * 7-7 would invite confusion. It would be easily perceived as having grouping and I'm pretty sure that we would agree that it would be unwise to write it that way. If we are going to the trouble of grouping with spaces, then we could and should do it with the correct bracket character.
I do stand to be corrected though.
Quote:
...The two statements above would not be the same (different answer due to spacing ...).
Essentially, the spacing would/could be used in space of parenthesis
Yeah. That's the bit I have a problem with.
Supporting article
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7+7 / 7+7 * 7-7
would probably really confuse people, as you would have to decide for yourself whether or not the spacing is or isn't supposed to represent implied parenthesis.
I would vote that it doesn't, and writing it this way hides or confuses the correct way to evaluate it.
Quote: Dalex64I'm not aware of rules where lateral spacing changes the order of operations, or acts as implied parenthesis, so
7+7 / 7+7 * 7-7
would probably really confuse people, as you would have to decide for yourself whether or not the spacing is or isn't supposed to represent implied parenthesis.
I would vote that it doesn't, and writing it this way hides or confuses the correct way to evaluate it.
I concur... spacing does not change the problem one bit, in my opinion. The operators are what drive the solution. In my school days we learned
Please Excuse My Dear Aunt Sally.... Parenthesis, Exponential, Multiplication, Division, Addition, Subtraction. My programming background also has embedded in my brain the order of right to left on equal level operators, but I suppose that is neither here nor there as the result is the same.
As others have described:
7 + 7 / 7 + 7 * 7 - 7 = 7 + (7/7) + (7*7) - 7 = 7 + 1 + 49 - 7 = 1 + 49 = 50.
I had already started learning BASIC programming at the time, and I knew that its operations were: parentheses, exponents, multiplication/division (left-to-right), addition/subtraction (left-to-right). I thought it wasn't likely that "regular math" order of operations and BASIC order of operations would be that different. I wasn't sure enough to call the teacher out, but I remember asking about it when I got home.
A big pet peeve of mine is teachers teaching incorrect information! Don't teach what you don't know!
Quote: JoemanA big pet peeve of mine is teachers teaching incorrect information! Don't teach what you don't know!
So you must hate dealers that say "That's a fine soft 18 you've got there, you should stay to my 10!" or "Sure, I'd double A-2 vs a 2 all day!"
Quote: RomesSo you must hate dealers that say "That's a fine soft 18 you've got there, you should stay to my 10!"
Actually, I find this much less of a sin. They're not being paid to educate me; just to take my money!
Quote:or "Sure, I'd double A-2 vs a 2 all day!"
No way! I wouldn't double any hand against the "dealer's ace!" ;)
Brackets, Indices, division, multiplication, Addition, Subtraction.
Anyone learn it as BUDMAS?!
Quote: KalelI learnt it as BIDMAS lol,
Brackets, Indices, division, multiplication, Addition, Subtraction.
Anyone learn it as BUDMAS?!
In MURICA we do PEMDAS.
Browsers compress spacing. I believe this shows what you intended:Quote: Dalex64I'm not aware of rules where lateral spacing changes the order of operations, or acts as implied parenthesis, so
7+7 / 7+7 * 7-7
would probably really confuse people, as you would have to decide for yourself whether or not the spacing is or isn't supposed to represent implied parenthesis.
I would vote that it doesn't, and writing it this way hides or confuses the correct way to evaluate it.
7+7 / 7+7 * 7-7