Sorry for the rant. I believe in international standards.
International standards say that multiplication and division are given equal precedence and performed left to right. There is only one correct answer to this mathematical formula, and it is 288.
I was always taught that x(y+z) =xy+xz, using the distributive property, combined with PEMDAS.
48/2(9+3)
48/(18+6)
48/24
2
Except you're distributing in the wrong order. In this case your 'x' is '48/2', not '2'. The distributive property is a property of multiplication, which has the same precedence as division, so evaluation of the two proceeds left to right.
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BIDMAS = Brackets Indices Division Multiplication Addition Subtraction
Which is what I've always been taught, and says that you do the brackets before the division.
Actually, it is. () 2 , then / or * from left to right, then + or - form left to right
PEMDAS
It does not go: Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.
This is how it goes: Parenthesis, Exponents, Multiplication AND Divison, Addition AND subtraction. Whenever you have to find the answer to a question with both multiplication and division (same goes for addition and subtraction) you always calculate it left to right, rather than in a specific order.
PEMDAS
It does not go: Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.
This is how it goes: Parenthesis, Exponents, Multiplication AND Divison, Addition AND subtraction. Whenever you have to find the answer to a question with both multiplication and division (same goes for addition and subtraction) you always calculate it left to right, rather than in a specific order.
48/2(9+3)
48/2*12
24*12
288
Exactly this is what I've been taught as well. Many people seem to overlook that.
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No. Multiplication and division are the same tier. Either your math teacher didn't teach you that (highly unlikely), or you rely too much on the acronym.
This isn't algebra, this is elementary math. I hate to sound rude, but if you don't know order of operations, you probably haven't been paying attention in math class. Or your still in fourth grade.
Personally, I think this is more of an argument of syntax than order of operations. The way I read it is 48/(2(9+3)) [equals 2]. When I see a number immediately followed by something in parentheses I read that as being a single number, so I read 2(9+3) as if it were a single number (24). The horizontal division sign makes that even stronger. If it were written 48/2 * (9+3) then I see it as 24*12.
Personally, you're wrong. It is a matter of order of operations. High school level algebra 1. Go pass it.
This isn't algebra, this is elementary math. I hate to sound rude, but if you don't know order of operations, you probably haven't been paying attention in math class. Or your still in fourth grade.
Or you're in college like me and you were too lazy to think through the problem due to sleep deprivation
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hmm,
1/2 is the same as 2^-1 (2 to the power of -1), simple math, try it on your calculator and you'll get the same thing.
48/2 is the same as 48 * 1/2, and the same as 48 * (2^-1), associative law.
Division is just another form of multiplication. People needs to learn and remember the communative and associative laws.
Another way to solve the equation;
48/2(9+3) <==> 24 * (9 + 3) <==> 24 * 9 + 24 * 3 <==> 24 * 9 + 24 * 3 <==> 216 + 72 <==> 288
or
48/2(9+3) <==> 48/2*9 + 48/2*3... <==> 288
Remember, 48/2(9+3) is not the same as 48/(2(9+3))!
48/(2(9+3)) = 2, the paranthesises matter.
That just makes it really confusing. But yes, the answer is 288 according to order of operation.
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Retired StaffRPN needs none of those confusing order of operations. It's simply never ambiguous ever.
I've been taught BEDMAS (Canadian) but I don't give a about it.
I agree with the person saying it could go either way because it isn't defined enough.
Sorry for the rant. I believe in international standards.
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Retired StaffInternational standards say that multiplication and division are given equal precedence and performed left to right. There is only one correct answer to this mathematical formula, and it is 288.
48/2(9+3)
48/(18+6)
48/24
2
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Curse PremiumThis is the way I was taught too.
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Retired StaffExcept you're distributing in the wrong order. In this case your 'x' is '48/2', not '2'. The distributive property is a property of multiplication, which has the same precedence as division, so evaluation of the two proceeds left to right.
first in paranthesis so
48/2(12)
then you make the parenthesis like full or whatever
48/24
then do that and you have 2 !
Actually, it is. () 2 , then / or * from left to right, then + or - form left to right
It does not go: Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.
This is how it goes: Parenthesis, Exponents, Multiplication AND Divison, Addition AND subtraction. Whenever you have to find the answer to a question with both multiplication and division (same goes for addition and subtraction) you always calculate it left to right, rather than in a specific order.
48/2(9+3)
48/2*12
24*12
288
Exactly this is what I've been taught as well. Many people seem to overlook that.
This is the problem with all those stupid acronyms. I think they may be doing more harm than good.
P
E
MD
AS
Same goes for any other acronym.
This isn't algebra, this is elementary math. I hate to sound rude, but if you don't know order of operations, you probably haven't been paying attention in math class. Or your still in fourth grade.
The correct answer is 288.
Personally, you're wrong. It is a matter of order of operations. High school level algebra 1. Go pass it.
Or you're in college like me and you were too lazy to think through the problem due to sleep deprivation
Multivariate calculus, they make damn well sure that the algebra is clear. (Plus there are more letters than numbers at this point)
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That just makes it really confusing. But yes, the answer is 288 according to order of operation.