http://www.purplemath.com/modules/orderops.htm
"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 ÷ 3 × 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. For instance, typesetting this into a graphing calculator, you will get:"
It's not open to interpretation.
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Thread: 48÷2(9+3) cliffs?
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04-07-2011, 09:16 PM #61...._______........___________.
../..___..../\...../..___...____../\
./../\__/.././..../../.\_/./\__/.././
/../_/_/.././..../.././../_/././_/./
\______.\/.....\_\/....\_\/..\_\/
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04-07-2011, 09:17 PM #62
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04-07-2011, 09:20 PM #63
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The laws of mathematics that have not changed in eons agree on 288
"Multiplication and division are actually on the same level of importance in order of operations. So when remembering the letters PEMDAS, keep in mind that you should do multiplication and division in the order they appear in the problem. So if division is first and then multiplication, you must do the division first. "
http://www.algebralab.org/lessons/le...Operations.xmlNSCA Certified Strength and Conditioning Specialist
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04-07-2011, 09:20 PM #64
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nah bro, if it was written as 2*(9+3) then I'd be inclined to say 288, but since it's 2(9+3) I take it as the denominator to 42.
if it was written properly on paper, everyone would have the right answer, but the confusion on shorthand is what's causing all the fussPMC - MMMC - 92B
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04-07-2011, 09:21 PM #65
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some of ya people retarded..
PEMDAS
parenthesis, exponential, multiplication AND Division, Adding AND Substracting
thats the order of highearchy on what goes first in math..
when in one equation there are 2 of more of the same level i.e. multiplication and division are both in the same level of importance, then you go from left to right.
these are the laws of math.. there are novariables there, it is clear.
given this the parenthesis is done first, then the division because its the one to the left followed by the multiplication..
its 288...Ratreria.Com <-- Lulz
ThatsDominican.Com Founder.
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04-07-2011, 09:21 PM #66
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04-07-2011, 09:22 PM #67
The division symbol only implies the first operand to the right is divisible by the operand to the left. The equation 48 ÷ 2 (9 + 3) is 48 ÷ 2 * (9 + 3). Thus 42 is only divisible by 2 and not everything else in the equation on the right.
This only says that things INSIDE the parentheses take precedence over other operations. Just because something is next to a set of parentheses doesn't suddenly bump it up in the order of operations. You're applying the rule incorrectly in an attempt to multiply 2 by the results of the parentheses before working the order of operations from left to right.
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04-07-2011, 09:22 PM #68
it is 288 ... I don't know why misc continue to make themselves look stupid by not knowing the order of operations ... learned in 9th or 10th grade ... it would be 2 if 48 / (2(9+3)) but you go left to right on multiplication / division ... once the 9+3 is done you go to 48 / 2 ... not 2 * 12 ... google it ... it is there.
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04-07-2011, 09:23 PM #69
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04-07-2011, 09:24 PM #70
wooowww its 288 get over it. everyone who is saying its 2 is pretending it is 48/(2(9+3)) which it ISNT.
48/2(9+3)
48/2(12) --> THIS IS NOW 48 divided by 2 MULTIPLIED BY 12 = 48/2*12
ORDER OF OPERATIONS -> left to right regarding multiplication and division
24*12 = 288
jesus christ
btw wtf is pemdas lol. in canada is bedmas. wierd hahahaEnrolled in Exercise Science physiology program (BAHSc).
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04-07-2011, 09:25 PM #71
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04-07-2011, 09:26 PM #72
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04-07-2011, 09:26 PM #73
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04-07-2011, 09:27 PM #74
Asked my high school math teacher:
"If the problem is written with a division sign (can't make one, looks like subtraction with two dots), the answer is 288. If it's a fraction with 2(9+3) in the denominator, it's 2. If it is written exactly as you typed it, it's kinda vague, but the answer should be 288.
Even though PEMDAS says to do multiply before divide, because they are the "same" operation, you do them left to right unless there are parenthesis (or numberator/denominator). Hope that helped"Last year I spent more money on spilled liquor in bars than 99% of miscers make in a year.
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04-07-2011, 09:28 PM #75
The two is attached to the parenthesis by basic rule of X(Y+Z) is the same as (XY+XZ)
48/2(9+3)= DOES EQUAL 2
PROOF: Lets take out the 3 inside the parenthesis and replace it with Y, so (y=3) if you solve it backwards.
48/2(9+y)=2 .... ready to check work backwards by providing a solution of 2
48/(18+2y)=2 .... factor in the 2 that is attached to the parentheses
36 + 4y = 48 .... cross multiply
4y = 12 .... subtract 36 from both sides
y = 3 .... solve for y
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04-07-2011, 09:28 PM #76
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04-07-2011, 09:29 PM #77
2*(9+3) = 2(9+3) ... there is not a variable like 2*(9x+3) in algebra ... so what you wrote is the exact same thing ... parentheses are the same thing as * in math ... to an extent but parentheses also represent order as well as multiplication. In your case it is a order so 9+3 = 12 ... 12 * 2 = 24 ...
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04-07-2011, 09:30 PM #78
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04-07-2011, 09:30 PM #79
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04-07-2011, 09:31 PM #80
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04-07-2011, 09:32 PM #81
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04-07-2011, 09:32 PM #82
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04-07-2011, 09:33 PM #83
this^ lol. i had to google to figure out why they were calling it that.
i'm saying 288.
the main argument i'm seeing for 2 (aside from people not understanding order of operations) is that they think 2(12) is stronger then 2x12.
has anyone posted why this would be? otherwise the topics pretty much closed.
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04-07-2011, 09:33 PM #84
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04-07-2011, 09:33 PM #85
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04-07-2011, 09:34 PM #86
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04-07-2011, 09:34 PM #87
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04-07-2011, 09:34 PM #88
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04-07-2011, 09:34 PM #89
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04-07-2011, 09:35 PM #90
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