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48÷2(9+3) = ???

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The answer is …. 6÷2(1+2)= 1… or is it 9

Aww- @#$%@&^@#!!
 

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The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire statement and CANNOT be broken up. 2(9+3) follows the distributive property which can be rewritten as (2*9+2*3). 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. You do NOT compute this expression from left to right until you use Algebra to simplify the statement 2(9+3).

So this can be rewritten as:
48 / (2*9 + 2*3)

Which leaves us with

48 / 24 = 2

Answer = 2.

Lastly for those using Google or any other online calculator. These do not understand many theorems or properties so you must explicitly explain what you mean. There is a difference between 48 / 2 * (9+3) and 48 / 2(9+3). The first notation reads 48 / 2 * 1(9+3) while the second reads 48 / (2*9+2*3). Be very careful with your signs.


Yes, this is clearly copied and pasted from another site. Howerver 2 is the answer I got and this agrees with me so cleary it is correct.
 

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I know 6+3=9 but it bothers me
 

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Order of operations rules put division and multiplication at the same level of priority. (because they are the same operation)

Priority is:

Parenthesis
Exponentiation
Multiplication and division (division is invert and multiple)
Addition and subtraction (subtraction is change sign and add)


Thus, to make it most clear change divide by 2 into multiply by 1/2 (or 0.5)

48*(1/2)*12 =


If this were expressed in the most common computer code it would look like this:

answer = 48/2*(9+3)

The computer WILL return the value 288. As it should.

BTW: The answer is NEVER: both, or undefined, or unclear, or indeterminate. The rules are there to make it clearly defined, and they do.

A strict mathematician will have a slightly different technical explanation and will come up the same results. They will not call it "Order of Operations" but "Implied Parenthesis".
 

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BTW: 5th grade math.
 

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Now for an analysis of the answer statistics.

More got it wrong (145) than got It right (132).

Random guesses should have yielded 50%/50% and these results are statistically within that limit.
 

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I love when these things come up on Linkedin and you get a bunch of people posting their answer for their whole network to see...that they're NOT smarter than a 5th grader.
No, not at all. This has absolutely nothing to do with being smarter or dumber than a 5th grader.

It has to do with forgetting things previously learned but not used in daily life.

It has to do with a poor education system that favors mass manufacturing scale education trying to produce a product for the employment market. It has to do with requiring memorization without understanding or daily life application. It has to do with the education system being satisfied with regurgitated answers, rather than functional knowledge. It has to do with and education system that primarily teaches students to hate education, mostly because the students are bored, disconnected, and unmotivated. It has to do with none size fits all, rather than education customized to the interests and needs of the students.

The simple fact is we need more carpenters than physicists. But we have an education system blinded by the politically correct lie than everyone can be a physicist, (rhetorically and metaphorically speaking)

Then everyone will select the few who perform from the flock and leave others behind.

The extremely simple fact is that we as a population will not learn and remember all the things for which we have no use.

In the end, one types it into a computer and you get the right answer. The low level programmer has no need to understand "implied parenthesis" because the people who created the programming language are more knowledgeable and correct each other. The engineers who create engineering programs are more knowledgeable and experience than the engineers who simply use the programs. Peers and superiors review everyone's work and make sure it's correct. That is how science and engineer work. Not that errors are not made, but that they are actively looked for and then corrected.

So no. No rational person expects the general population of adults to get this correct. That is why it's an interesting puzzle. If everyone knew the answer, the question would never have been asked.
 

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LOL - you do realize this original post is 9 years old, if they haven't agreed on an answer by now - they never will
 

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Wonder how many, in this thread, can bablance a check book?
 
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