Originally posted by anthony
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48÷2(9+3) = ????
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Originally posted by our_kid View PostThe distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up. 2(9+3) follows the distributive property which can be rewritten as (2x9+2x3). Let me repeat: The 2 outside of the parenthesis follows the distributive property of multiplication and must be factored and simplified before performing any other operations on it.
See: http://www.math.unt.edu/mathlab/emat...of_multipl.htm
So this can be rewritten as:
48 ÷ (2x9 + 2x3)
Which leaves
48 ÷ 24 = 2
Answer = 2...period.
Most calculators do not understand many theorems or properties so you must explicitly explain what you mean. There is a big difference between 48 ÷ 2 x (9+3) and 48 ÷ 2(9+3). The first notation reads 48 ÷ 2 x 1(9+3) while the second reads 48 ÷ (2x9+2x3). I have two textbooks beside me on the shelf which support this. I teach math for a living.
lmao I can't believe you ripped this right off of yahoo answers.
it says right in that link that "it makes no difference whether you add two or more terms together first, and then multiply the results by a factor, or whether you multiply each term alone by the factor first, and then add up the results."
THE WHOLE EQUATION IS A SINGLE TERM. Terms are separated by addition or subtraction... this is still one term because the would-be "entire term" that "you" speak of is actually separated by a division sign.
You wanna use distributive property? ok, sure.
48÷2(9+3)
=24(9+3)
=(24x9)+(24x3)
=216+72
=288
Again, THIS EQUATION ONLY HAS ONE TERM AND BEDMAS STILL APPLIES WHETHER YOU WANT TO USE DISTRIBUTIVE PROPERTY OR NOT. Like the quote above says taken from the link "you" gave us, IT DOESN'T MATTER BECAUSE THE SAME ANSWER WILL COME UP.
The only reason distributive property exists is to handle UNKNOWNS in the equation, also quoted in that link:
"This is kinda cool, but you might wonder what possible use it might be. I mean, really, why wouldn't you ALWAYS add the terms together first, and avoid all that yukky multiplication? Well, the answer is: It comes in very useful when you have terms that cannot be added together first, because they are not like terms."
math teacher that plagiarizes wrong answers...? This is like grade 11 all over again where I had to teach the class half of the time because the teacher didn't know what the hell they were talking about.
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The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up. 2(9+3) follows the distributive property which can be rewritten as (2x9+2x3). Let me repeat: The 2 outside of the parenthesis follows the distributive property of multiplication and must be factored and simplified before performing any other operations on it.
See: http://www.math.unt.edu/mathlab/emat...of_multipl.htm
So this can be rewritten as:
48 ÷ (2x9 + 2x3)
Which leaves
48 ÷ 24 = 2
Answer = 2...period.
Most calculators do not understand many theorems or properties so you must explicitly explain what you mean. There is a big difference between 48 ÷ 2 x (9+3) and 48 ÷ 2(9+3). The first notation reads 48 ÷ 2 x 1(9+3) while the second reads 48 ÷ (2x9+2x3). I have two textbooks beside me on the shelf which support this. I teach math for a living.
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the people who are getting 2 are the people that are doing this:
48÷2(9+3)
= 48÷2(12)
= 48÷24
= 2
The people who are getting 288 are doing this:
48÷2(9+3)
= 48÷2(12)
= 24(12)
= 288
The people getting 2 are making the mistake of doing the multiplication before the division, which is incorrect because the multiplication occurs AFTER the division; you're supposed to do the division first.
I'm 90% sure if it was written 48÷2*(9+3) instead of 48÷2(9+3), more people would get 288. People are just letting their rusty BEDMAS confuse them because for some reason their brain is saying "DO 2 x 12 FIRST BECAUSE IT'S TOUCHING A BRACKET!!!" No. It's touching a bracket, which means it's simply multiplication.
Also, I've noticed people doing this:
48
2(9+3)
This is incorrectly displaying division; when it is written like this, it is another way of writing this:
48/[2(9+3)]
This way WILL get your 2, but it is not the question, so you're just making a mistake right off the bat.
I hope that clears up the confusion.
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lol this is a funny thread...seems like a lot of ppl still dont understand math! The answer is 288...phone a university or college and talk to a math professor....he will explain it to you
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Heh... Order of operations? I guess no one does comp sci here... it's 288. You do it from left to right, Multiplication/Division are on the same order of importance. You learn that pretty quick when you have to program complex equations.
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The 2 is NOT part of the brackets. Its simply multiplying the bracket and the steps of dividing and multiplying are done left to right in an equation at the same time.
2(9+3) = 2*(9+3)
so it should be completed as
48/2 * (12)
24*(12)
288
if done correctly
1)Brackets
2)Exponents
3)Division and
Multiplication
4)Addition and
SubtractionLast edited by Wolfattak; 04-09-2011, 12:40 PM.
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The only question here is whether the multiplication of the 2 into the (9+3) is part of the B in BEDMAS or the P in PEDMAS. If it's not, 288 is correct both because of BEDMAS and because you start from the left and work your way to the right. If the multiplication of the 2 IS part of the brackets (and some say it is) then the answer is 2. I still say A/B(C+D) -> A/(BC+CD)=2 but it could just as easily be (A/B)C+(A/B)D=288. Still down to whether the 2 is part of the brackets operation as written.Last edited by Joker; 04-09-2011, 11:58 AM.
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Like said before, its just BEDMAS and through following it it would be
1 48/2(12)
2 24(12) This step is because when following bedmas with equivalent functions (multiplication/division) you work from left to right
3 288
Grade 11 University math pays off
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OH GOD, what have you done!?Originally posted by skylinegtr777 View Posti didn't read all the replies but here is my reasoning and break down of the equation:
{48÷2(9+3) =} should be broken down as follows,
48
------- = 2
2(9+3)
no other way to see this.
Good day everyone
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I didn't read all the replies but here is my reasoning and break down of the equation:
{48÷2(9+3) =} should be broken down as follows,
48
------- = 2
2(9+3)
no other way to see this.
good day everyone
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