48÷2(9+3) = ???

77d3637a5c2e14104b4bdc0fd9052e1ae394df99.jpg
 
Originally Posted by BC2310

Been trying to explain this for 80 pages now but it's just impossible for some people to see the difference between the two problems. 
 
Originally Posted by BC2310

Been trying to explain this for 80 pages now but it's just impossible for some people to see the difference between the two problems. 
 
Originally Posted by kingcrux31

Originally Posted by BC2310

Been trying to explain this for 80 pages now but it's just impossible for some people to see the difference between the two problems.�
So according to you number 7 on here is wrong? and this entire worksheet is worked out wrong http://www.oceanic.name/m...ttachment.php?attId=362? and his 10 dollar calculator is better than a ti-83?
 
Originally Posted by kingcrux31

Originally Posted by BC2310

Been trying to explain this for 80 pages now but it's just impossible for some people to see the difference between the two problems.�
So according to you number 7 on here is wrong? and this entire worksheet is worked out wrong http://www.oceanic.name/m...ttachment.php?attId=362? and his 10 dollar calculator is better than a ti-83?
 
This order isgenerally clear and unambiguous but problems do occur. One problem isa bug in Casio calculators made before 2007. For example, theexpression
impliedgroupings_html_m59b0ce2b.gif
shouldevaluate to 16 according to the order of operations. The divisionshould be done first. It is evaluated incorrectly to 1 by earlierCasio calculators. If you instead enter
impliedgroupings_html_m4431392a.gif
theCasio will give the correct answer. TI calculators do not have thisproblem. Casio has fixed this problem in newer calculators.

http://www.imperial.edu/~...es/impliedgroupings.html
 
This order isgenerally clear and unambiguous but problems do occur. One problem isa bug in Casio calculators made before 2007. For example, theexpression
impliedgroupings_html_m59b0ce2b.gif
shouldevaluate to 16 according to the order of operations. The divisionshould be done first. It is evaluated incorrectly to 1 by earlierCasio calculators. If you instead enter
impliedgroupings_html_m4431392a.gif
theCasio will give the correct answer. TI calculators do not have thisproblem. Casio has fixed this problem in newer calculators.

http://www.imperial.edu/~...es/impliedgroupings.html
 
CertifiedSW wrote:
Originally Posted by Klipschorn

Originally Posted by kingcrux31


Apparently not.
laugh.gif

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



If you are asked to simplify something like "4 + 2×3", the question that naturally arises is "Which way do I do this? Because there are two options!":

  • Choice 1:  4 + 2×3 = (4 + 2)×3 = 6×3 = 18

    Choice 2:  4 + 2×3 = 4 + (2×3) = 4 + 6 = 10
It seems as though the answer depends on which way you look at the problem. But we can't have this kind of flexibility in mathematics; math won't work if you can't be sure of the answer, or if the exact same problem can calculate to two or more different answers. To eliminate this confusion, we have some rules of precedence, established at least as far back as the 1500s, called the "order of operations". The "operations" are addition, subtraction, multiplication, division, exponentiation, and grouping; the "order" of these operations states which operations take precedence (are taken care of) before which other operations.
A common technique for remembering the order of operations is the abbreviation "PEMDAS", which is turned into the phrase "Please Excuse My Dear Aunt Sally". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". This tells you the ranks of the operations: Parentheses outrank exponents, which outrank multiplication and division (but multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together on the bottom rank). When you have a bunch of operations of the same rank, you just operate from left to right. For instance, 15 Ã· 3 Ã— 4 is not 15 ÷ 12, but is rather 5 × 4, because, going from left to right, you get to the division first. If you're not sure of this, test it in your calculator, which has been programmed with the Order of Operations hierarchy.
http://www.math.com/school/subject2/lessons/S2U1L2GL.html


[font=Verdana, Arial, Helvetica, sans-serif][size=-1][/size][/font]
[font=Verdana, Arial, Helvetica, sans-serif][size=-1]When expressions have more than one operation, we have to follow rules for the order of operations:[/size][/font]
  1. [font=Verdana, Arial, Helvetica, sans-serif][size=-1]First do all operations that lie inside parentheses.[/size][/font]
  2. [font=Verdana, Arial, Helvetica, sans-serif][size=-1]Next, do any work with exponents or radicals.[/size][/font]
  3. [font=Verdana, Arial, Helvetica, sans-serif]Working from left to right, do all multiplication and division.[/font]
  4. [font=Verdana, Arial, Helvetica, sans-serif][size=-1]Finally, working from left to right, do all addition and subtraction[/size][/font]


http://mathforum.org/dr.math/faq/faq.order.operations.html

PEMDAS
  (You might remember this as "Please excuse my dear Aunt Sally.")[sup]1[/sup]
  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction
This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right). If parentheses are enclosed within other parentheses, work from the inside out.
[sup]1[/sup]Some people are taught to remember BEDMAS:
        Brackets
        Exponents
        Division and Multiplication, left to right
        Addition and Subtraction, left to right

Besides the obvious sources Google and Wolfram.. THUS 288.

pimp.gif
pimp.gif
pimp.gif

Finally someone with some common sense. Good post. 




distributive property of multiplication
 
CertifiedSW wrote:
Originally Posted by Klipschorn

Originally Posted by kingcrux31


Apparently not.
laugh.gif

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



If you are asked to simplify something like "4 + 2×3", the question that naturally arises is "Which way do I do this? Because there are two options!":

  • Choice 1:  4 + 2×3 = (4 + 2)×3 = 6×3 = 18

    Choice 2:  4 + 2×3 = 4 + (2×3) = 4 + 6 = 10
It seems as though the answer depends on which way you look at the problem. But we can't have this kind of flexibility in mathematics; math won't work if you can't be sure of the answer, or if the exact same problem can calculate to two or more different answers. To eliminate this confusion, we have some rules of precedence, established at least as far back as the 1500s, called the "order of operations". The "operations" are addition, subtraction, multiplication, division, exponentiation, and grouping; the "order" of these operations states which operations take precedence (are taken care of) before which other operations.
A common technique for remembering the order of operations is the abbreviation "PEMDAS", which is turned into the phrase "Please Excuse My Dear Aunt Sally". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". This tells you the ranks of the operations: Parentheses outrank exponents, which outrank multiplication and division (but multiplication and division are at the same rank), and these two outrank addition and subtraction (which are together on the bottom rank). When you have a bunch of operations of the same rank, you just operate from left to right. For instance, 15 Ã· 3 Ã— 4 is not 15 ÷ 12, but is rather 5 × 4, because, going from left to right, you get to the division first. If you're not sure of this, test it in your calculator, which has been programmed with the Order of Operations hierarchy.
http://www.math.com/school/subject2/lessons/S2U1L2GL.html


[font=Verdana, Arial, Helvetica, sans-serif][size=-1][/size][/font]
[font=Verdana, Arial, Helvetica, sans-serif][size=-1]When expressions have more than one operation, we have to follow rules for the order of operations:[/size][/font]
  1. [font=Verdana, Arial, Helvetica, sans-serif][size=-1]First do all operations that lie inside parentheses.[/size][/font]
  2. [font=Verdana, Arial, Helvetica, sans-serif][size=-1]Next, do any work with exponents or radicals.[/size][/font]
  3. [font=Verdana, Arial, Helvetica, sans-serif]Working from left to right, do all multiplication and division.[/font]
  4. [font=Verdana, Arial, Helvetica, sans-serif][size=-1]Finally, working from left to right, do all addition and subtraction[/size][/font]


http://mathforum.org/dr.math/faq/faq.order.operations.html

PEMDAS
  (You might remember this as "Please excuse my dear Aunt Sally.")[sup]1[/sup]
  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction
This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right). If parentheses are enclosed within other parentheses, work from the inside out.
[sup]1[/sup]Some people are taught to remember BEDMAS:
        Brackets
        Exponents
        Division and Multiplication, left to right
        Addition and Subtraction, left to right

Besides the obvious sources Google and Wolfram.. THUS 288.

pimp.gif
pimp.gif
pimp.gif

Finally someone with some common sense. Good post. 




distributive property of multiplication
 
Originally Posted by MECKS

CertifiedSW wrote:
Originally Posted by Klipschorn


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



http://www.math.com/school/subject2/lessons/S2U1L2GL.html


[font=Verdana, Arial, Helvetica, sans-serif][size=-1][/size][/font]


http://mathforum.org/dr.math/faq/faq.order.operations.html


Besides the obvious sources Google and Wolfram.. THUS 288.
pimp.gif
pimp.gif
pimp.gif

Finally someone with some common sense. Good post. 


distributive property of multiplication








so your saying multiplication comes before division?
 
Originally Posted by MECKS

CertifiedSW wrote:
Originally Posted by Klipschorn


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



http://www.math.com/school/subject2/lessons/S2U1L2GL.html


[font=Verdana, Arial, Helvetica, sans-serif][size=-1][/size][/font]


http://mathforum.org/dr.math/faq/faq.order.operations.html


Besides the obvious sources Google and Wolfram.. THUS 288.
pimp.gif
pimp.gif
pimp.gif

Finally someone with some common sense. Good post. 


distributive property of multiplication








so your saying multiplication comes before division?
 
Who remembers doing identities in trig? Remember when you would see something like sinθ(cosθ+tanθ)? And you had to distribute in order to solve, there was no other way. What's more was that these angles were mostly already known, so they weren't variables in the common sense.

Some of you short bus Team 288 dudes who had remedial math in high school didn't learn that.

So, even if you don't agree that 2 is THE answer, you have to accept it as a possible answer. Since a lot of those who come to the answer of 2 are programmed to see any such coefficient-parenthetical pairing as a flag to, what, DISTRIBUTE.

Morever, accept the fact that you were wrong and not only do you not know as much as you think, but that you put so much time on a poorly written math problem, you should ask god to prevent you from offing thyselves.
 
Who remembers doing identities in trig? Remember when you would see something like sinθ(cosθ+tanθ)? And you had to distribute in order to solve, there was no other way. What's more was that these angles were mostly already known, so they weren't variables in the common sense.

Some of you short bus Team 288 dudes who had remedial math in high school didn't learn that.

So, even if you don't agree that 2 is THE answer, you have to accept it as a possible answer. Since a lot of those who come to the answer of 2 are programmed to see any such coefficient-parenthetical pairing as a flag to, what, DISTRIBUTE.

Morever, accept the fact that you were wrong and not only do you not know as much as you think, but that you put so much time on a poorly written math problem, you should ask god to prevent you from offing thyselves.
 
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