Which one is correct?
The calculator or the phone?

Calculator

Here, I've answered this before:

A Computer Scientist's Explanation

To understand this, let's forget about the rather "complex" expression and work with a simplified version. The two actual equations to consider here are:

6÷2×3 = 3×3 = 9

AND

6÷2×3 = 6÷6 = 1

The basic issue here is, multiplication and division, which should come first when a change in priority leads to a change in output?

In mathematics, multiplication and division are on the same level and that is why their positions are interchangeable (BODMAS vs PEMDAS). This is also the case in programming (this is actually the case with any two operators that reverse each other). So it is safe to say the above equations are both correct. Casio is a bit more strict, so it constantly puts multiplication ahead for ease of computing while the Android calculator software simply goes with whichever one that comes first out of the two. Let's read a bit further to know which one is ACTUALLY correct.

Someone might ask, how can the same equation give the two different answers and both will be correct? Well, welcome to the programmer's world. You see, the correctness of an output isn't just a function of having a final figure but also a function of how closely the variables interpret the actual real life problems being solved. In the case above, if the two equation are meant to solve exactly the same word problem, then one definitely has a logical error and one must know the word problem before one can tell which one is wrong. This is because when two operators are on the same level (which is always the case with any two operators that reverse each other), the acceptable grouping/order strictly depends on the items represented by individual variables. Since computers only work with variables, there's no way they would know this, so they simply go with the one that comes first (or, as Casio did, strictly pick one ahead of the other). It is now left to the human users or programmers (who know the real life items these variables represent) to enforce the wanted grouping using brackets. These grouping could be based on the fact that a part of the expression is coming from another problem that must fully be solved before joining the remaining part (sequencing) or anything as such actually.

So while the the two answers are correct in terms of hard figures, only one actually solves the problem and until we know the problem that led to the punching of calculators, we'd never really know which one.

_{NB: In an academic setting (secondary and primary schools) where the figures are just there for simulations and learning purposes only, please, go with Casio's result cause strictly putting multiplication ahead is a convention generally adopted for uniformity and outcome predictability provided the figures don't really represent anything. I also don't believe any examining body would ask kids to resolve such an ambiguous mathematical problem.}

Thanks

Casio calculator based on the general convention we know- BODMAS.
1

ATMC:
Which one is correct?
The calculator or the phone?

Both are correct, configuration differs

The one one the left is scientific while the phone cal is non scientific

femi4:
Both are correct, configuration differs

The one one the left is scientific while the phone cal is non scientific

There isn't anything as non scientific in solution to mathematical problem and there can't be two different answers as well. The correct answer is the one displayed by the calculator following BODMAS rules. QED

asiwaju1981:


There isn't anything as non scientific in solution to mathematical problem and there can't be two different answers as well. The correct answer is the one displayed by the calculator following BODMAS rules. QED

Olodo, I was referring to the calculators.
Scientific calculator not solution

The solution is configuration based. One follows bodmas while the other didn't

The phone is correct.

WoundedLamb:
Here, I've answered this before:

.

You want to know the problem that led to the punching of calculators


Like seriously


Well,

When you talk about topics in Mathematics,

It's possible to come across what you just have to solve .... I mean certain topics just involve the manipulation of numbers just for the sake of manipulation...So, the numbers used won't represent anything specific..... Leading to the issue of BODMAS.... When the calculator is not MADE to consider BODMAS...,then it will be useless in cases that require BODMAS in order to determine correctness....

In order to determine what requires BODMAS to determine correctness,
The mathematical case has to be specified towards the determination of an aspect of Mathematics instead of ASSUMING there's a real life problem to be solved ....

Crystyano:
.

You want to know the problem that led to the punching of calculators


Like seriously


Well,

When you talk about topics in Mathematics,

It's possible to come across what you just have to solve .... I mean certain topics just involve the manipulation of numbers just for the sake of manipulation...So, the numbers used won't represent anything specific..... Leading to the issue of BODMAS.... When the calculator is not MADE to consider BODMAS...,then it will be useless in cases that require BODMAS in order to determine correctness....

In order to determine what requires BODMAS to determine correctness,
The mathematical case has to be specified towards the determination of an aspect of Mathematics instead of ASSUMING there's a real life problem to be solved ....

OK.

aysnoopy:
Calculator

When it did not follow the BODMAS rule for mathe magical operations involving bracket, exponents, division etc?

I think the calculators solution was based on fraction.

6/2(2+1).
6/6=1

It didn't follow the rule.

WoundedLamb:
Here, I've answered this before:

Thanks for your explicit input, but in a classroom setting, the scholars are usually advised to solve from left to right. This will make Casio less right than android.

Nothingserious:
Casio calculator based on the general convention we know- BODMAS.
1

Do you mean to say PEMDAS?

Because following BODMAS will give you android's answer.

femi4:
Both are correct, configuration differs

The one one the left is scientific while the phone cal is non scientific

Wow...
I ��

asiwaju1981:


There isn't anything as non scientific in solution to mathematical problem and there can't be two different answers as well. The correct answer is the one displayed by the calculator following BODMAS rules. QED

The phone followed BODMAS, the calculator followed PEMDAS

ATMC:

When it did not follow the BODMAS rule for mathe magical operations involving bracket, exponents, division etc?

I think the calculators solution was based on fraction.

6/2(2+1).
6/6=1

It didn't follow the rule.

Are u a mathematician?
The answer should be based on how the question that arrives to punching of the calculator/phone.
But bring this question to any reasonable Engineering student and they will tell u d calculator is d corrected one.
Though I'm not saying the phone is wrong, hence, the answer is based on what brings out the Punching of the calculator/phone
Thanks

ATMC:

Thanks for your explicit input, but in a classroom setting, the scholars are usually advised to solve from left to right. This will make Casio less right than android.

Yes, but I believe the left to right concept only applies when there's a conflict of priority. Otherwise, it's conventional to solve the brackets first by opening it and letting every figure be at the same grouping level before eventually moving from left to right. This is because the 2 outside the parenthesis is not a stand-alone number. It is, along with the contents of the parenthesis, an expression that should probably be resolved before joining the rest of the bigger expression.

Notice that I said 'probably' and that is because this isn't a necessarily a law. What I'm trying to say in essence is that while both could be correct depending on the problem being resolved, I'd go with Casio if I came across this as a secondary school student. And I don't believe any examiner would set such an ambiguous question.

ATMC:

The phone followed BODMAS, the calculator followed PEMDAS

I don't argue with babies when it comes to mathematics. You can do yourself good by going back to your teachers for more tutorials. Thank you.

femi4:
Olodo, I was referring to the calculators.
Scientific calculator not solution

The solution is configuration based. One follows bodmas while the other didn't

I don't argue with babes in the field of mathematics. You can do yourself more good by going back to your mathematics teacher for more tutorials...

People are just talking trash without answering the question, which of them is correct for goodness sake and which of them is wrong.
This is fucking confusing,

This is no longer about mathematics, this is about programming, because both the calculator and the phones are machines with circuitries on which programs are running on.
the calculator is running assembly language while the phone' app which was made with probably java and which get translated into bytecode is essentially still almost running assembly, why aren't they following the same principle, why is the assembly program running on one machine behaving differntly from another assembly program running on another machine, is operator predescence not meant to be similar across machines running assembly language nah, wetin dey happen.

The Android phone is correct!
When dealing with BODMAS, PEMDAS or BEDMAS, we follow the rules of precedence i.e from left to right for division and multiplication because they have equal precedence.
Let's consider BODMAS.
From 6÷2(2+1)
B = Bracket
(2+1)=3
O = order (there's no order of operation)
so 6÷2(2+1)
implies
=6÷2(3)
implies
=6÷2*3
=3*3(from left to right)
= 9//
....................................................................
Second method.
6÷2(2+1), and it can be written as

6
= ------. (2+1)
2

6
= ---. (3)
2

= 18/2=9 or 3(3) = 9// proved.

Therefore, the Android phone is correct.

Another method!

asiwaju1981:


I don't argue with babies when it comes to mathematics. You can do yourself good by going back to your teachers for more tutorials. Thank you.

Elder sir, well done!

shantti:
People are just talking trash without answering the question, which of them is correct for goodness sake and which of them is wrong.
This is fucking confusing,

This is no longer about mathematics, this is about programming, because both the calculator and the phones are machines with circuitries on which programs are running on.
the calculator is running assembly language while the phone' app which was made with probably java and which get translated into bytecode is essentially still almost running assembly, why aren't they following the same principle, why is the assembly program running on one machine behaving differntly from another assembly program running on another machine, is operator predescence not meant to be similar across machines running assembly language nah, wetin dey happen.

You got the drift!

jpawjpaw:
The Android phone is correct!
When dealing with BODMAS, PEMDAS or BEDMAS, we follow the rules of precedence i.e from left to right for division and multiplication because they have equal precedence.
Let's consider BODMAS.
From 6÷2(2+1)
B = Bracket
(2+1)=3
O = order (there's no order of operation)
so 6÷2(2+1)
implies
=6÷2(3)
implies
=6÷2*3
=3*3(from left to right)
= 9//
....................................................................
Second method.
6÷2(2+1), and it can be written as

6
= ------. (2+1)
2

6
= ---. (3)
2

= 18/2=9 or 3(3) = 9// proved.

Therefore, the Android phone is correct.

Thank you.