48÷2(9+3) = ?

[Dracopnious]

This is a common mistake but in maths 2(9+3) is exactly the same as 2x(9+3) like I said before. It is common that you leave the "x" mark away because it is not needed but it does not change the calculation order in any way.

Well all I'm saying is that I solve my biochem equations this way as does the rest of the class.

[GStar]

This is how i saw it because this is how i was taught.
48/2(9+3)=
48/2(12)=
48/24=
=2

48/2*(9+3)=
48/2*1(12)=
48/2*12=
24*12=
=288

The 1 was omitted

[Pieterman]

This is incorrect. Even if it was worded as 48/2*(3+9) it would still be 2*(3+9) first. Nothing is confusing here, it's a strict system with rules. The language of Mathematics.

Multiplication doesn't come before division. Even though the rules of thumb say so, this is wrong. Their strength, so to say, is equal, and whichever comes first when reading from left to right, is applied first.

[Simca]

Well all I'm saying is that I solve my biochem equations this way as does the rest of the class.

It's shorthand. It's not the correct way of writing it, but people do it anyway because it is faster.

You'd be surprised how many calculators and textbooks are purposefully use implicit multiplication.

[Deleted]

This is incorrect. Even if it was worded as 48/2*(3+9) it would still be 2*(3+9) first. Nothing is confusing here, it's a strict system with rules. The language of Mathematics.

The order of operations is as following in Mathematics;

1: terms inside brackets.
2: exponents and roots.
3: multiplication and division.
4: addition and subtraction.

Our problem:

48
--- (9+3)
2

So first:
9+3=12

48
--- (12)
2

Second:
48
--- = 24
2

Lastly:
24(12) In other words,
24*12= 288

Edit: Oh, there were a few others that explained the same thing, doh.

[Dracopnious]

It's shorthand. It's not the correct way of writing it, but people do it anyway because it is faster.

You'd be surprised how many calculators and textbooks are purposefully use implicit multiplication.

Yeah its how we're taught to do it at degree level biochem, people who do maths at uni as well must be having fits.

[MrPistachio]

It really depends on distributing or not. If you do, you get 2 whether it's right nor not, if you don't, you get 288.

[Aswed]

Brackets of divide multiply add subtract.

BODMAS was how I was taught it.

Yes BIDMAS and BODMAS are the same.

[Deleted]

The order of operations is as following in Mathematics;

1: terms inside brackets.
2: exponents and roots.
3: multiplication and division.
4: addition and subtraction.

Our problem:

48
--- (9+3)
2

So first:
9+3=12

48
--- (12)
2

Second:
48
--- = 24
2

Lastly:
24(12) In other words,
24*12= 288

Edit: Oh, there were a few others that explained the same thing, doh.

Like I have said this is right. Even if the term "2" comes from inside the crackets as a common factor it doesn't change anything because common factor can be divided away without changing the result. That's why if you take common away from inside the brackets the calculation order is the same from left to right.

[Dominoo]

Its weird how everyone is taught the order operations differently but ya

PEMDAS


Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction


In most of the other ways that you guys said you learned it - where are the exponents ?

[Deleted]

Its weird how everyone is taught the order operations differently but ya

PEMDAS


Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction


In most of the other ways that you guys said you learned it - where are the exponents ?

And always remember that Multiplication and Divison are equal, so they are read from left to right. That doesn't mean Multiplication comes before Division.

[Simca]

Its weird how everyone is taught the order operations differently but ya

PEMDAS


Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction


In most of the other ways that you guys said you learned it - where are the exponents ?

E = O
Exponents = Orders

Really, the acronym varies from place to place and school to school. Personally, I hate the acronym because it doesn't account for the fact that MD and AS are combined levels.

[zizfizziks]

PIMDAS?
POMDAS?
BOMDAS?

It's PEMDAS for complete clarity.

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Anyone that learned it differently learned it incorrectly.

Single line mathematical notation sucks. This is why even the worst textbooks use a clear multi-line format that you can find in software like Maple.

Single line mathematics = English. Multi-lined mathematics = lojban.

[Deleted]

PIMDAS?
POMDAS?
BOMDAS?

It's PEMDAS for complete clarity.

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Anyone that learned it differently learned it incorrectly.

Single line mathematical notation sucks. This is why even the worst textbooks use a clear multi-line format that you can find in software like Maple.

Single line mathematics = English. Multi-lined mathematics = lojban.

Rules of mathematics are the same even if you put that equation in 5 lines. And it will not change the right answer.

[Deleted]

Isn't the answer 2? multiply out 2(9+3) gives 24, 48/24 = 2
Or I'm naive and have no idea what I'm talking about

[haxartus]

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

And this also sucks but it's easier to understand for second graders.

[Deleted]

to make it easier
write 48/(2*12) or 48/(2(9+3)) or 48/(2*(9+3))
that should give you the right answer
you must put the brackets on the right places or else the calculator count different

i know ppls have wrote this earlier :C

[Deleted]

to make it easier
write 48/(2*12) or 48/(2(9+3)) or 48/(2*(9+3))
that should give you the right answer
you must put the brackets on the right places or else the calculator count different

i know ppls have wrote this earlier :C

All of those give the same answer which is wrong for given equation.

[zizfizziks]

Rules of mathematics are the same even if you put that equation in 5 lines. And it will not change the right answer.

I realize the rules are the same for mathematics. My point was that using bad notation for mathematics such as single line indications with implicit functions [the earlier example of 1/xy vs (1/x) * y] is a terrible and unclear method. Mathematics is the most perfect thing humans have created and it annoys me that sometimes we manage to mess up our own perfect language by adding "slang" to it in the form of implicit functions.

[Aous]

PIMDAS?
POMDAS?
BOMDAS?

It's PEMDAS for complete clarity.

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Anyone that learned it differently learned it incorrectly.

Single line mathematical notation sucks. This is why even the worst textbooks use a clear multi-line format that you can find in software like Maple.

Single line mathematics = English. Multi-lined mathematics = lojban.

Not really, considering PEMDAS and BODMAS are the same exact thing.. just different terms are being used.

P vs B = Parentheses vs Brackets (Lazy english)
E vs O = Exponents vs Orders (again lazy english)
M vs O = As someone said before Multiplication and Division are equal, whichever comes first is done first. therefore the order of these 2 can be switched.

Whoever learned this way, learned correctly.. they just had a lazy teacher who decided to not use big words like parentheses and Exponents, hence why they are a math teacher and not an english teacher.