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Originally posted by Akragon
Using Bedmas the answer is 9...
Using PEDMAS the answer is 1...
Originally posted by GobbledokTChipeater
Originally posted by Akragon
Using Bedmas the answer is 9...
Using PEDMAS the answer is 1...
I really don't know where you got this from. PEDMAS and BEDMAS are exactly the same. The only difference is some people call them brackets, some people call them parentheses.
Using PEDMAS (or BEDMAS) strictly will give you the incorrect result of 9.
Apparently, most people are unaware of the juxtaposition rule .
Perhaps it should be changed to PEJDMAS?
Formulas. You can help us to reduce production and printing costs by avoiding excessive or unnecessary quotation of complicated formulas. We linearize simple formulas, using the rule that multiplication indicated by juxtaposition is carried out before division. For example, your TeX-coded display
$$[1\over[2\pi i]]\int_\Gamma [f(t)\over (t-z)]dt$$
is likely to be converted to
$(1/2\pi i)\int_\Gamma f(t)(t-z)^[-1]dt$
in our production process.
Your juxtaposition rule is simply something that is a preference for the mathematical review database.
I don't think that this has to do with anything other than math problem for that website.
Everyone needs to look at the quote I posted. This rule has nothing to do with any real math.
Originally posted by ASeeker343
Doesn't look like an authoritative ruling on this issue even exists.
Originally posted by GobbledokTChipeater
Originally posted by Akragon
Using Bedmas the answer is 9...
Using PEDMAS the answer is 1...
I really don't know where you got this from. PEDMAS and BEDMAS are exactly the same. The only difference is some people call them brackets, some people call them parentheses.
Using PEDMAS (or BEDMAS) strictly will give you the incorrect result of 9.
Apparently, most people are unaware of the juxtaposition rule .
Perhaps it should be changed to PEJDMAS?
source: www.purplemath.com...
when you go to e-mail your instructor with a question, or post your question to a math tutoring forum, you can end up with a mess or with something that totally doesn't mean what you meant to say. To deal with this issue, the math community is developing norms for text-only formatting. What follows is not "the" one right way to format math, but is a distillation of what I've seen a lot of math tutors use.
source: www.purplemath.com...
Distributive Property
The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4. Any time they refer in a problem to using the Distributive Property, they want you to take something through the parentheses (or factor something out); any time a computation depends on multiplying through a parentheses (or factoring something out), they want you to say that the computation used the Distributive Property.
Why is the following true? 2(x + y) = 2x + 2y
Since they distributed through the parentheses, this is true by the Distributive Property.
Multiply/Divide over Add/Subtract
You can distribute a multiply or divide over an add or subtract, because multiply and divide are one level above add and subtract:
Right 7(x + y) = 7x + 7y
Right (x + y) / 3 = x/3 + y/3
Right 2x (x − 3) = 2x² − 6x
Right (2x − 8) / 2 = 2x/2 − 8/2 = x − 4
Students sometimes distribute a multiplier over both parts of a fraction, like this:
3 × (2/5) = 6 / 15 WRONG!
You can’t do that because multiply is not one level above divide; they’re at the same level. You can distribute only when moving down one level.
Originally posted by grey580
reply to post by GobbledokTChipeater
As I have posted above. Their rule is simply to shorten long equations.
rather than have a ÷ b * (c + d) they want to have a ÷ b(c+d).
This is particular to them and their method of saving space not to math.
Why anyone would use this for anything is beyond me.
I'm going with the answer of 9.
Originally posted by grey580
reply to post by Honor93
Here is another link on distributive property.
Distributive Property
Again. The equation is ambigous.
Both answers are valid.
I am your college professor that you requested, with a doctorate in Mathematics. I will break this down as simply as possible and end this debate as approx. 10 students have already asked me this today.
The problem as it is written is 6÷2(1+2) , the ÷ cannot be substituted with a fraction bar because they have different ranks on the order of operations. It is an illegal math move to do this. The bar ranks with parentheses, ÷ is interchangeable with *. therefore the problem must be solved as 6÷2(1+2) NOT 6 (over) 2(1+2) we do the parentheses first, so 6÷2(3), the parentheses are now no longer relevant, because the number inside is in it's simplest form. Every single number has implied parentheses around it.
6÷2(3)
(6) ÷(2)(3)
6÷2*3,
or even converting the division to multiplication by a reciprocal (a legal math move)
(6)(1 (over) 2)(3)
are all correct ways to write this problem and mean exactly the same thing. Using pemdas, where md and as are interchangeable, we work from left to right, so (3)(3) or
3*3= 9
Just because something is implied rather than written does not give it any special rank in the order of operations.
The problem in it's simplest form, with nothing implied would look like this:
(1+1+1+1+1+1 (over) 1) ÷ (1+1 (over) 1) * ((1(over) 1) + (1+1 (over) 1))
From here, nothing is implied, This again, works out to 9.
If the symbol '/' was used this whole debate would be ambiguous since that symbol can mean "to divide by" or it could mean a fraction bar.
HOWEVER, because the ÷ symbol is used, it can not be changed to mean a fraction bar because that would change the order of operations and thus the whole problem, you can't change a symbol to mean something because you want to, in doing so you are changing the problem.
Once and for all, the answer is 9.
Originally posted by Cuervo
Originally posted by grey580
reply to post by Honor93
Here is another link on distributive property.
Distributive Property
Again. The equation is ambigous.
Both answers are valid.
They are not both valid. You use distributive law. Period. There is no "but if you look at it this way..." or "it depends on if it is math or if it is algebra..."
Neither of those statements make any sense. Algebra is math. There is only one way to look at the expression and that is with the laws of math which include distributive law. There is never a time that you don't use it.
Originally posted by SherlockH
I have seen many argue that you cannot make A a fraction. What prevents this from being so?
Originally posted by GobbledokTChipeater
I have said however that I think it is not written with A as a fraction ....
Other uses for fractions are to represent ratios, and to represent division. Thus the fraction 3/4 is also used to represent the ratio 3:4 (three to four) and the division 3 ÷ 4 (three divided by four).
They are not both valid. You use distributive law. Period. There is no "but if you look at it this way..." or "it depends on if it is math or if it is algebra..."
Neither of those statements make any sense. Algebra is math. There is only one way to look at the expression and that is with the laws of math which include distributive law. There is never a time that you don't use it.