48÷2(9+3) = ???

[mo greene]

Originally Posted by kingcrux31

Originally Posted by VietStar

Parentheses first.
48/2(9+3).
48/2(12).
Then divide. If the equation has both a division and multiplication sign, such as this one, then you do whatever occurs first, first. In this problem, division occurs first, so you divide. If it was instead a multiplication sign first, then you would multiply before dividing.
You get:
24(12)
Then multiply it.
Final Answer:
288

This is such an easy equation, but I can understand why and how someone would mess it up. It's just funny how the people who have the wrong answers cannot face the fact that they're wrong, and yet, call others stupid and dumb. They are too ignorant to realize their mistakes.

Sorry for the big font, but after 117 pages of nonsense and arguments, I just wanted to get the point across and show people how do this equation correctly in an easy/understandable format.

BUT THE OG PROBLEM IS 48÷2(9+3)
[font=Arial, Helvetica, sans-serif]
[/font]

crux, i dont get what you're trying to prove.  all you did was write the equation in different ways.
that like me saying:

[h3] 48÷2(9+3) =/= (48/2)(1/(9+3))[/h3]

because  (48/2)(1/(9+3)) = 48/(2(9+3))

 

[mo greene]

Originally Posted by kingcrux31

Originally Posted by balloonoboy

Okay, this will end the thread. The answer is two, not 288 or 8.6 (much to my chagrin).

http://www.purplemath.com/modules/orderops2.htm

This next example displays an issue that almost never arises but, when it does, there seems to be no end to the arguing.

Simplify 16 ÷ 2[8 – 3(4 – 2)] + 1.
16 ÷ 2[8 – 3(4 – 2)] + 1
    = 16 ÷ 2[8 – 3(2)] + 1
    = 16 ÷ 2[8 – 6] + 1
    = 16 ÷ 2[2] + 1   (**)
    = 16 ÷ 4 + 1
    = 4 + 1
    = 5

The confusing part in the above calculation is how "16 divided by 2[2] + 1" (in the line marked with the double-star) becomes "16 divided by 4 + 1", instead of "8 times by 2 + 1". That's because, even though multiplication and division are at the same level (so the left-to-right rule should apply), parentheses outrank division, so the first 2 goes with the [2], rather than with the "16 divided by". That is, multiplication that is indicated by placement against parentheses (or brackets, etc) is "stronger" than "regular" multiplication.

It was posted before and dudes still arguing. Wrap it up.

Spoiler

Spoiler

Spoiler [+]

Spoiler

Elizabeth Stapel's resume is loooong


Elizabeth Stapel's ResumÃ[emoji]169[/emoji]

Teaching Experience

Western International University, Phoenix, Arizona

October 1997 through June 2006: teaching prealgebra, algebra, and business math to students of diverse backgrounds in a business environment.
Winter 2003 through Spring 2004: helped design an introductory proseminar that provides entering students with information and encouragement regarding college success.
12 June 1999: helped lead a faculty study group on the subject of effective lecturing.
Chandler-Gilbert Community College, Chandler, Arizona

Spring and Fall 1999, Spring 2000 semesters: teaching algebra
South Mountain Community College, Phoenix, Arizona

Spring and Summer 1996, Fall 1997, Fall 1998, and Spring 1999 semesters: teaching high school students in a collaborative pilot algebra program; teaching elementary algebra classes; teaching/piloting a reform calculus class.
Arizona State University, Tempe, Arizona

Spring 1996 semester: teaching elementary algebra and elementary linear algebra; assisting department's book-search committee in choosing a new algebra text.
Simply Mathematics Tutoring, Ballwin, Missouri

February 1995 to June 1995: tutoring middle school, high school, and college students in various areas of mathematics.
Saint Louis University, Saint Louis, Missouri

Fall 1994 semester: teaching an evening calculus course for non-traditional, multi-cultural students.
St. Louis Community College of Florissant Valley, Saint Louis, Missouri

Fall 1994 semester: teaching non-traditional, multi-cultural students in remedial arithmetic and beginning algebra.
Southwestern Bell Telephone and Florissant Valley Community College, Saint Louis, Missouri

August 1994: teaching a weekend algebra review session for Southwestern Bell employees, preparing them for a college-administered placement exam (a sufficient score on the exam entered students in a special study program, leading to a promotion within the company).
Sylvan Learning Center, Creve Coeur, Missouri

April 1994 to July 1994: tutoring students of all school grades and of all abilities in Reading, Mathematics, Study Skills, and ACT Prep Programs.
Washington University, Saint Louis, Missouri

August 1992 to May 1994: leading weekly supplementary calculus help sessions, grading quizzes; collecting and assessing student feedback and opinion.
Fall 1993 semester: leading supplementary calculus help-sessions in student dorms.
Wright State University, Dayton, Ohio

August 1991 to June 1992: teaching precalculus algebra students; staffing Math Help Room.
August 1990 to June 1991: proctoring (group tutoring and teaching) for an innovative self-study remedial math program.
March 1990 to August 1991: grading homework for math department; proctoring tests; assisting in developing a departmental homework grading policy.
Summer 1990 quarter: staffing Math Help Room: assisting students in all classes through calculus.
January 1989 to March 1990: working for the University Tutoring Division: tutoring all lower-level math classes and all classifications of students, including disabled and LD.

You know that's too much for 288'ers to comprehend. 
They're just gonna ignore you and shout PEMDAS again as if the knowledge of PEMDAS alone will solve every math problem there is.

(And please do not send me an e-mail either asking for or else proffering a definitive verdict on this issue. As far as I know, there is no such final verdict. And telling me to do this your way will not solve the issue!)



sounding real confident there

 

[mo greene]

Originally Posted by kingcrux31

Originally Posted by balloonoboy

Okay, this will end the thread. The answer is two, not 288 or 8.6 (much to my chagrin).

http://www.purplemath.com/modules/orderops2.htm

This next example displays an issue that almost never arises but, when it does, there seems to be no end to the arguing.

Simplify 16 ÷ 2[8 – 3(4 – 2)] + 1.
16 ÷ 2[8 – 3(4 – 2)] + 1
    = 16 ÷ 2[8 – 3(2)] + 1
    = 16 ÷ 2[8 – 6] + 1
    = 16 ÷ 2[2] + 1   (**)
    = 16 ÷ 4 + 1
    = 4 + 1
    = 5

The confusing part in the above calculation is how "16 divided by 2[2] + 1" (in the line marked with the double-star) becomes "16 divided by 4 + 1", instead of "8 times by 2 + 1". That's because, even though multiplication and division are at the same level (so the left-to-right rule should apply), parentheses outrank division, so the first 2 goes with the [2], rather than with the "16 divided by". That is, multiplication that is indicated by placement against parentheses (or brackets, etc) is "stronger" than "regular" multiplication.

It was posted before and dudes still arguing. Wrap it up.

Spoiler

Spoiler

Spoiler [+]

Spoiler

Elizabeth Stapel's resume is loooong


Elizabeth Stapel's ResumÃ[emoji]169[/emoji]

Teaching Experience

Western International University, Phoenix, Arizona

October 1997 through June 2006: teaching prealgebra, algebra, and business math to students of diverse backgrounds in a business environment.
Winter 2003 through Spring 2004: helped design an introductory proseminar that provides entering students with information and encouragement regarding college success.
12 June 1999: helped lead a faculty study group on the subject of effective lecturing.
Chandler-Gilbert Community College, Chandler, Arizona

Spring and Fall 1999, Spring 2000 semesters: teaching algebra
South Mountain Community College, Phoenix, Arizona

Spring and Summer 1996, Fall 1997, Fall 1998, and Spring 1999 semesters: teaching high school students in a collaborative pilot algebra program; teaching elementary algebra classes; teaching/piloting a reform calculus class.
Arizona State University, Tempe, Arizona

Spring 1996 semester: teaching elementary algebra and elementary linear algebra; assisting department's book-search committee in choosing a new algebra text.
Simply Mathematics Tutoring, Ballwin, Missouri

February 1995 to June 1995: tutoring middle school, high school, and college students in various areas of mathematics.
Saint Louis University, Saint Louis, Missouri

Fall 1994 semester: teaching an evening calculus course for non-traditional, multi-cultural students.
St. Louis Community College of Florissant Valley, Saint Louis, Missouri

Fall 1994 semester: teaching non-traditional, multi-cultural students in remedial arithmetic and beginning algebra.
Southwestern Bell Telephone and Florissant Valley Community College, Saint Louis, Missouri

August 1994: teaching a weekend algebra review session for Southwestern Bell employees, preparing them for a college-administered placement exam (a sufficient score on the exam entered students in a special study program, leading to a promotion within the company).
Sylvan Learning Center, Creve Coeur, Missouri

April 1994 to July 1994: tutoring students of all school grades and of all abilities in Reading, Mathematics, Study Skills, and ACT Prep Programs.
Washington University, Saint Louis, Missouri

August 1992 to May 1994: leading weekly supplementary calculus help sessions, grading quizzes; collecting and assessing student feedback and opinion.
Fall 1993 semester: leading supplementary calculus help-sessions in student dorms.
Wright State University, Dayton, Ohio

August 1991 to June 1992: teaching precalculus algebra students; staffing Math Help Room.
August 1990 to June 1991: proctoring (group tutoring and teaching) for an innovative self-study remedial math program.
March 1990 to August 1991: grading homework for math department; proctoring tests; assisting in developing a departmental homework grading policy.
Summer 1990 quarter: staffing Math Help Room: assisting students in all classes through calculus.
January 1989 to March 1990: working for the University Tutoring Division: tutoring all lower-level math classes and all classifications of students, including disabled and LD.

You know that's too much for 288'ers to comprehend. 
They're just gonna ignore you and shout PEMDAS again as if the knowledge of PEMDAS alone will solve every math problem there is.

(And please do not send me an e-mail either asking for or else proffering a definitive verdict on this issue. As far as I know, there is no such final verdict. And telling me to do this your way will not solve the issue!)



sounding real confident there

 

[spacerace]

balloonoboy wrote:

---

nvm, mo greene beat me to it.

 

[spacerace]

balloonoboy wrote:

---

nvm, mo greene beat me to it.

 

[kingcrux31]

Originally Posted by Mo Greene

Originally Posted by kingcrux31

Originally Posted by VietStar

Parentheses first.
48/2(9+3).
48/2(12).
Then divide. If the equation has both a division and multiplication sign, such as this one, then you do whatever occurs first, first. In this problem, division occurs first, so you divide. If it was instead a multiplication sign first, then you would multiply before dividing.
You get:
24(12)
Then multiply it.
Final Answer:
288

This is such an easy equation, but I can understand why and how someone would mess it up. It's just funny how the people who have the wrong answers cannot face the fact that they're wrong, and yet, call others stupid and dumb. They are too ignorant to realize their mistakes.

Sorry for the big font, but after 117 pages of nonsense and arguments, I just wanted to get the point across and show people how do this equation correctly in an easy/understandable format.

BUT THE OG PROBLEM IS 48÷2(9+3)
[font=Arial, Helvetica, sans-serif]
[/font]

crux, i dont get what you're trying to prove.  all you did was write the equation in different ways.

If you don't understand the difference between the two equations then you will never get the correct answer. 

 

[kingcrux31]

Originally Posted by Mo Greene

Originally Posted by kingcrux31

Originally Posted by VietStar

Parentheses first.
48/2(9+3).
48/2(12).
Then divide. If the equation has both a division and multiplication sign, such as this one, then you do whatever occurs first, first. In this problem, division occurs first, so you divide. If it was instead a multiplication sign first, then you would multiply before dividing.
You get:
24(12)
Then multiply it.
Final Answer:
288

This is such an easy equation, but I can understand why and how someone would mess it up. It's just funny how the people who have the wrong answers cannot face the fact that they're wrong, and yet, call others stupid and dumb. They are too ignorant to realize their mistakes.

Sorry for the big font, but after 117 pages of nonsense and arguments, I just wanted to get the point across and show people how do this equation correctly in an easy/understandable format.

BUT THE OG PROBLEM IS 48÷2(9+3)
[font=Arial, Helvetica, sans-serif]
[/font]

crux, i dont get what you're trying to prove.  all you did was write the equation in different ways.

If you don't understand the difference between the two equations then you will never get the correct answer. 

 

[balloonoboy]

She already said the consensus is that juxtaposition outweighs multiplication and division.

 

[balloonoboy]

She already said the consensus is that juxtaposition outweighs multiplication and division.

 

[kingcrux31]

Team 288 should accept the fact that there's more to math than PEDMAS.

 

[jchambers]

Originally Posted by balloonoboy

I asked (insert someone with a math credential) and they said 2.

I can do it too.

I asked Google and Wolfram Alpha and they said 288.
Mine are verifiable.

 

[kingcrux31]

Team 288 should accept the fact that there's more to math than PEDMAS.

 

[jchambers]

Originally Posted by balloonoboy

I asked (insert someone with a math credential) and they said 2.

I can do it too.

I asked Google and Wolfram Alpha and they said 288.
Mine are verifiable.

 

[shoryuken]

Problem is ambiguous...very tricky...

 

[shoryuken]

Problem is ambiguous...very tricky...

 

[rocky437]

Everything is summed up on that sheet of paper posted above. BTW when you type in 48÷2(9+3)  into Wolfram Alpha it gives you the WRONG INPUT. Again, see the written work posted above for the

correct answer and clarification.
[h3]
[/h3]

 

[rocky437]

Everything is summed up on that sheet of paper posted above. BTW when you type in 48÷2(9+3)  into Wolfram Alpha it gives you the WRONG INPUT. Again, see the written work posted above for the

correct answer and clarification.
[h3]
[/h3]

 

[bc2310]

Originally Posted by JChambers

Originally Posted by balloonoboy

I asked (insert someone with a math credential) and they said 2.

I can do it too.

I asked Google and Wolfram Alpha and they said 288.
Mine are verifiable.

I asked myalgebra.com it said 2 

 

[kingcrux31]

Originally Posted by Rocky437

 BTW when you type in 48÷2(9+3)  into Wolfram Alpha it gives you the WRONG INPUT. 

I've been saying this for 50 plus pages now.

 

[bc2310]

Originally Posted by JChambers

Originally Posted by balloonoboy

I asked (insert someone with a math credential) and they said 2.

I can do it too.

I asked Google and Wolfram Alpha and they said 288.
Mine are verifiable.

I asked myalgebra.com it said 2 

 

[kingcrux31]

Originally Posted by Rocky437

 BTW when you type in 48÷2(9+3)  into Wolfram Alpha it gives you the WRONG INPUT. 

I've been saying this for 50 plus pages now.

 

[balloonoboy]

Originally Posted by JChambers

Originally Posted by balloonoboy

I asked (insert someone with a math credential) and they said 2.

I can do it too.

I asked Google and Wolfram Alpha and they said 288.
Mine are verifiable.

Asking a machine doesn't work. TI calculators, the creme de la creme of computing, aren't valid when handling such problems. Wolfram Alpha totally changes the equation. And you're using google as a computation engine? Seriously?

 

[balloonoboy]

Originally Posted by JChambers

Originally Posted by balloonoboy

I asked (insert someone with a math credential) and they said 2.

I can do it too.

I asked Google and Wolfram Alpha and they said 288.
Mine are verifiable.

Asking a machine doesn't work. TI calculators, the creme de la creme of computing, aren't valid when handling such problems. Wolfram Alpha totally changes the equation. And you're using google as a computation engine? Seriously?

 

[kingcrux31]

I've come to a conclusion that if your answer is 2, you're somewhat good at Math. If your answer is 288, you only know PEDMAS, Wolfram Alpha, Google and pressing numbers on your calculator.

 

[kingcrux31]

I've come to a conclusion that if your answer is 2, you're somewhat good at Math. If your answer is 288, you only know PEDMAS, Wolfram Alpha, Google and pressing numbers on your calculator.