48÷2(9+3) = ?

[battle axe]

---

ang answer sa akung calcu kay 2 man.. bogo cguro inyu calcu..hehehe or ang input ang saup

kung gusto mo manual here's the answer..
distribution method:

a. 48/2(9+3)
b. 48/18+6
c. 48/24
=2 hehehehe


kung fraction pa na, this is how it looks


__48__
2(9+3)

=2 gihapon


repost lang naku ha... plus naa pa pic kung calcu gamitun,

kaning calcuha usa ni sa nakapa engr. nako...hehehehe

[cxtknight]

ang answer sa akung calcu kay 2 man.. bogo cguro inyu calcu..hehehe or ang input ang saup

kung gusto mo manual here's the answer..
distribution method:

a. 48/2(9+3)
b. 48/18+6
c. 48/24
=2 hehehehe


kung fraction pa na, this is how it looks


__48__
2(9+3)

=2 gihapon


repost lang naku ha... plus naa pa pic kung calcu gamitun,

kaning calcuha usa ni sa nakapa engr. nako...hehehehe

aw grdistribute diay? dba dapat divide una?

[battle axe]

2(9+3) is the denominator of 48 man gud.... meaning you have to solve 2(9+3) first, madistributive man or dili basta unahon jud na nimu ug solve..

[cxtknight]

2(9+3) is the denominator of 48 man gud.... meaning you have to solve 2(9+3) first, madistributive man or dili basta unahon jud na nimu ug solve..

aaah, unsa ni nga rule bro?

thank you sa pagexplain, karun pako kahibaw ani

[neigyl_noval]

This is my thought when I come into a cool upon reading the comments.


The main debate and confusion here was how the equation is to be understood using the PEMDAS rule. Is it (a) 48÷[2(9+3)] or is it (b) 48÷2(9+3), written in a single line (linear form)?


As cilff has pointed out, when (a) is written in paper, it would become:


48
------
2(9+3)

which is 2.


However, when using digital resources (calculators, computers. etc), the given expression is evaluated from left to right so that:

48/2*(9+3) = 288.


This is analogous to the following expression when using calculator:

16 / 2 * 4 = 32 and not 2; because most calculators solve the expressions in infix notation and the small-sized memory as the stack. This is the reason why calculators solve the expression from left to right in a binary tree-like traversal. (More on infix notation: Evaluating Infix Expressions)


Also, programming languages and computer-aided tools and some calculators usually uses prefix to solve complicated expressions. The given equation answers 288 because there is no parenthesis as in 48÷(2*(9+3)) just like in (a) which might cause the number 2 to be pushed into the stack and popped out when the last closing parenthesis is encountered from parsing which results to 2. Also, when the expression is not clear (eg. no parenthesis for groupings), the parser encloses a parenthesis on MD expressions which allows the expression after the division to be evaluated last. Plus, some calculators tend to add parenthesis on expressions without * between the grouped expression as in 5 / 2(1+1) which differs from 5 / 2* (1+1); parsing on this case is different as it adds parentheses after the division symbol.


Now, the expression should be 48÷(2(9+3)) to result to 2 (using PEMDAS left-to-right rule and proven through digital resources).


This is the primary problem when the given math expression to be solved is written in linear form [eg. 16 / 4 * 2] and not in "professional" way [eg. the expression with a horizontal bar for fractions.] The linear form usually appears when the input field for the expression is a linear prompt (just like in text type html form input, one-line input here in istorya, and the "linear" mode in calculators).


Since the given is written in linear. and having said the above, the answer should be 288 using the PEMDAS left-right rule.



OT:

My previous comments were actually a survey on how Filipinos would react to a harsh, frank, direct-to-the point, heart-blasting, and atrocious comments ('hilas' in Cebuano). I actually encounter many similar comments I have had on Western country sites (eg. Stack Overflow, and the likes) when I tend to post answers which others think is erroneous or needs clarifications. My clear proof that Filipinos are more emotional than logical than other countries are. That is why other countries love Filipinos because we are hospitable. That is also why Filipinos love other countries because of their wit in inventions, technologies, etc. Sorry, and thank you.

[Seraph]

This is my thought when I come into a cool upon reading the comments.


The main debate and confusion here was how the equation is to be understood using the PEMDAS rule. Is it (a) 48÷[2(9+3)] or is it (b) 48÷2(9+3), written in a single line (linear form)?


As cilff has pointed out, when (a) is written in paper, it would become:


48
------
2(9+3)

which is 2.


However, when using digital resources (calculators, computers. etc), the given expression is evaluated from left to right so that:

48/2*(9+3) = 288.


This is analogous to the following expression when using calculator:

16 / 2 * 4 = 32 and not 2; because most calculators solve the expressions in infix notation and the small-sized memory as the stack. This is the reason why calculators solve the expression from left to right in a binary tree-like traversal. (More on infix notation: Evaluating Infix Expressions)


Also, programming languages and computer-aided tools usually uses prefix to solve complicated expressions. The given equation answers 288 because there is no parenthesis as in 48÷(2*(9+3)) just like in (a) which might cause the number 2 to be pushed into the stack and popped out when the last closing parenthesis is encountered from parsing which results to 2.


Now, the expression should be 48÷(2(9+3)) to result to 2 (using PEMDAS left-to-right rule and proven through digital resources).


This is the primary problem when the given math expression to be solved is written in linear form [eg. 16 / 4 * 2] and not in "professional" way [eg. the expression with a horizontal bar for fractions.] The linear form usually appears when the input field for the expression is a linear prompt (just like in text type html form input, one-line input here in istorya, and the "linear" mode in calculators).


Since the given is written in linear. and having said the above, the answer should be 288 using the PEMDAS left-right rule.



OT:

My previous comments were actually a survey on how Filipinos would react to a harsh, frank, direct-to-the point, heart-blasting, and atrocious comments ('hilas' in Cebuano). I actually encounter many similar comments I have had on Western country sites (eg. Stack Overflow, and the likes) when I tend to post answers which others think is erroneous or needs clarifications. My clear proof that Filipinos are more emotional than logical than other countries are. That is why other countries love Filipinos because we are hospitable. That is also why Filipinos love other countries because of their wit in inventions, technologies, etc. Sorry, and thank you.

murag sakto jud ni na tubag dah ehhehehe murag kulang man ang equation, wala na tarung pag group ang numbers.... 48÷(2(9+3)) would result to the answer 2.... pero if imung equation kay 48÷2(9+3) nya using EMDAS rule and the left to right rule, murag possible ang 288 na answer... 48÷2(9+3) alone is a confusing equation and murag ma mis interpret ni sa machines if imu ni ipa compute sa mga machines.... proper grouping of numbers would surely help in solving this equation...

[battle axe]

^^bai ang pangutana kay 48÷2(9+3) dili 48÷2*(9+3) kay daku kaau na ug difference...


48÷2(9+3) ------------------------ given.
= 48 / 2 (12) ------------------------ (P)EMDAS. Parentheses 1st (mdas man kaha nganu giuna man nimu ug divide,, dba multiply paman una.. MDAS gud)
= 24 (12) ------------------------ PE(MD)AS. Solve eqtn from left to right.
= 288 ------------------------ Answer. is wrong

[neigyl_noval]

^^bai ang pangutana kay 48÷2(9+3) dili 48÷2*(9+3) kay daku kaau na ug difference...


48÷2(9+3) ------------------------ given.
= 48 / 2 (12) ------------------------ (P)EMDAS. Parentheses 1st (mdas man kaha nganu giuna man nimu ug divide,, dba multiply paman una.. MDAS gud)
= 24 (12) ------------------------ PE(MD)AS. Solve eqtn from left to right.
= 288 ------------------------ Answer. is wrong

(mdas man kaha nganu giuna man nimu ug divide,, dba multiply paman una.. MDAS gud) --> left-to-right rule. Division and Multiplication can go first either way as long as it is evaluated from left to right.


Read my post on the last page. Also, when written, your arguments are the same as mine. 1(1) is the same as 1 * 1. And 1 / 1(2) is the same as 1 / 1 * 2. Read my last post on the last page on cases on how the traversal and parsing (human and computer) on this expression is done.

[cxtknight]

samot najud ko kalibog hahaha

well ill stick lang sah to 288 kay mau ako nalearn PMDAS with the rule nga equal power ang M and D, whichever comes first

peru i'd like to know more atong geingon ni battle axe nga denominator thingy when it comes ti evaluation...

[battle axe]

samot najud ko kalibog hahaha

well ill stick lang sah to 288 kay mau ako nalearn PMDAS with the rule nga equal power ang M and D, whichever comes first

peru i'd like to know more atong geingon ni battle axe nga denominator thingy when it comes ti evaluation...

kalimot ko sa rule ani bro...hehehe ang 2 dili kabiya nila (9+3) kay naa paman sila isyu, mao nang sulbaron sa nila ni 9 ug 3 and nigawas si 12.. now kay ngunite man sila 9 ug 3 nga niporma na ug 12, so ready na si 2 mo multiply ni 12.. so pag multiply ni 2 ni 12 nahimo sila ug 24... now there ready for the final battle which is they will divide 48... 48 divde by 24 equals 2... and he live happily ever after