48÷2(9+3) = ??

What is the answer?

  • 2

    Votes: 261 51.2%
  • 288

    Votes: 249 48.8%

  • Total voters
    510

Sudacafan

Talk Tennis Guru
The problem with all this is the symbol

It was created due to limitations in type from the past and has confused scores of people ever since. Several astronauts were sent off course and of course Pisa. The list goes on and on with software bugs and bridges not lining up etc.....
The correct symbol is

Divide
If you answered 2, there’s nothing you can do about it.
 

Gary Duane

G.O.A.T.
Did anyone in all these 58 pages simply say that sometimes symbols in any area of knowledge are potentially ambiguous?

The real problem here is not math but rather inflexible minds...
 

LGQ7

Hall of Fame
48÷2(9+3) = ??
What is the answer?
First and foremost mathematics is a language, just like any other languages.

Physical arts language:

tip toe (English)
calf raise (body building)
relevé (ballet, universal in every ballet school in the world)

wrestling:

monkey flip (wrestling, WWE)
The Captain Kirk (colloquial)
tomoe nage (Japanese, Judo, universal in every Judo school in the world)

The first thing about language is that it is describing something in the world. Re-write the sentence in English. What is it describing in the world? Without that you have nothing.

And language must be universal, must be only 1 standard.

As far as I know the answer is 2, by the convention of the language.

The question should not be "What is the answer?"
The question should be "What is the question?" in English.
 

Hmgraphite1

Hall of Fame
First and foremost mathematics is a language, just like any other languages.

Physical arts language:

tip toe (English)
calf raise (body building)
relevé (ballet, universal in every ballet school in the world)

wrestling:

monkey flip (wrestling, WWE)
The Captain Kirk (colloquial)
tomoe nage (Japanese, Judo, universal in every Judo school in the world)

The first thing about language is that it is describing something in the world. Re-write the sentence in English. What is it describing in the world? Without that you have nothing.

And language must be universal, must be only 1 standard.

As far as I know the answer is 2, by the convention of the language.

The question should not be "What is the answer?"
The question should be "What is the question?" in English.
Because many posts are not a single sentence, so in math may not have a single answer due to the interpretations at bay. In a language, a developed thought may require additional explanation. Both answers can be correct, but for different reasons. It easy to "pass" new laws to constrain the truth (288) but the clean truth will prevail in its logical conclusion (2)
 

Sudacafan

Talk Tennis Guru
First and foremost mathematics is a language, just like any other languages.

Physical arts language:

tip toe (English)
calf raise (body building)
relevé (ballet, universal in every ballet school in the world)

wrestling:

monkey flip (wrestling, WWE)
The Captain Kirk (colloquial)
tomoe nage (Japanese, Judo, universal in every Judo school in the world)

The first thing about language is that it is describing something in the world. Re-write the sentence in English. What is it describing in the world? Without that you have nothing.

And language must be universal, must be only 1 standard.

As far as I know the answer is 2, by the convention of the language.

The question should not be "What is the answer?"
The question should be "What is the question?" in English.
What if we try to use algebraic accepted conventions for a change?
 

Sudacafan

Talk Tennis Guru
Don't wanna read this whole thread. What is the answer?

I do parentheses first and then go left to right performing division and multiplication. Answer =2.

Correct?
I will try to explain the way I see it. In my opinion, the issue is generated by how the formula is written.

If it's written as as 48/2(9+3), in my opinion that's 288.
Google PEMDAS or BIDMAS or BODMAS (they are the same thing, which explains the operation you should solve first)
If you do parentheses first that's 12, agree with you.
Then, you must solve the division 48/2 (=24), then multiply that by 12, you have 288. That's the sequence, as prescribed by PEMDAS

Now, I see that, with fractional notation, you would write that as:
48
2(9+3)
In that way, you solve first the denominator completely resulting in 24, and they divide 48 into 24, resulting in 2.

Conclusion:
For the formula written as it was in the thread title applying PEMDAS convention, the result is 288.
If you write it as a fraction, the result would be 2, but it was not written that way.
 
Last edited:

TennisDawg

Hall of Fame
I will try to explain the way I see it. In my opinion, the issue is generated by how the formula is written.

If it's written as as 48/2(9+3), in my opinion that's 288.
Google PEMDAS or BIDMAS or BODMAS (they are the same thing, which explains the operation you should solve first)
If you do parentheses first that's 12, agree with you.
Then, you must solve the division 48/2 (=24), then multiply that by 12, you have 288. That's the sequence, as prescribed by PEMDAS

Now, I see that, with fractional notation, you would write that as:
48
2(9+3)
In that way, you solve first the denominator completely resulting in 24, and they divide 48 into 24, resulting in 2.

Conclusion:
For the formula written as it was in the thread title applying PEMDAS convention, the result is 288.
If you write it as a fraction, the result would be 2, but it was not written that way.
The formula is poorly written.
 

TennisDawg

Hall of Fame
Not clear as well. This board is not good to write math.
Yes, you’re right. Especially on an iPhone. The formula should use a fraction method to clearly show what is the denominator. I’ve read the comments. The controversy is related to that. I think it’s been beat up to a pulp.
 

TripleATeam

G.O.A.T.
As math currently stands:
48 / 2(9+3) = 48 / 2 * (9+3)

Since division and multiplication occur simultaneously (read left to right) you divide 48 by 2, then multiply by (9+3), which gives 288.

The ambiguity lies in the use of the division symbol, which implies left / right when using ÷ (in certain textbooks many decades ago), but proper order of operations when using /.

However, in the current day, ÷ and / are interchangeable, and / is actually preferred to avoid such ambiguity.

So if you go by the archaic use of ÷, the answer is 2. If you go by modern mathematics, the answer is 288.

EDIT: I seem to be mistaken. Math doesn't have an answer for us, as this is what parentheses were created to prevent - ambiguity.

The answer seems to lie in the use of implied multiplication. Say you have 6 / 2(x). Is that 3x or 6/(2x)? Mathematics doesn't agree, so any self-respecting mathematician would use parentheses to explain what they mean.

Don't ask a vague question and then act smug when someone doesn't give the answer you want. The fault lies in the question, not in those answering it.
 
Last edited:

Steady Eddy

Legend
48
2(9+3)
Is 2
But that is other thing
But this is
48 * (9+3)
2

the (9+3) is not preceded by a / sign. So you multiply by that sum, you don't divide by it. It's unfortunate that PEMDAS seems to imply multiplying before dividing, but actually dividing and multiplying are tied, as they're really the same thing, (dividing by 5 is the same as multiplying by .2). And adding does not come before subtracting, they are the same, (subtracting 3 is the same as adding -3). Some teachers use GEMAL, grouping, exponents, multiplying, adding, left-to-right. See? That doesn't mention dividing or subtracting because it's redundant.
 

Sudacafan

Talk Tennis Guru
But this is
48 * (9+3)
2

the (9+3) is not preceded by a / sign. So you multiply by that sum, you don't divide by it. It's unfortunate that PEMDAS seems to imply multiplying before dividing, but actually dividing and multiplying are tied, as they're really the same thing, (dividing by 5 is the same as multiplying by .2). And adding does not come before subtracting, they are the same, (subtracting 3 is the same as adding -3). Some teachers use GEMAL, grouping, exponents, multiplying, adding, left-to-right. See? That doesn't mention dividing or subtracting because it's redundant.
No. The fraction line fell short in this sh1tty interface. I did not write that. Sorry.
 

Steady Eddy

Legend
No. The fraction line fell short in this sh1tty interface. I did not write that. Sorry.
I know that on a TI-83 or 84 that if you want the answer to 100/(4*3*2*7), you can use parenthesis like I just did, or you can type 100/4/3/2/7. But if you type 100/4*3*2*7 it will only divide by the 4. The 3, 2, and 7 will all get tossed up in the numerator.
 

Sudacafan

Talk Tennis Guru
I know that on a TI-83 or 84 that if you want the answer to 100/(4*3*2*7), you can use parenthesis like I just did, or you can type 100/4/3/2/7. But if you type 100/4*3*2*7 it will only divide by the 4. The 3, 2, and 7 will all get tossed up in the numerator.
Agree, and I know.
I just wanted to draw a long division line and put everything coming after under that line, to represent the 2 result, just for that alternative. It didn’t show like that.
 
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