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48÷2x=288 is true when x=(9+3)
The equation above indicates "48 divided by twice the value of x equals 288". Since that is the case x would have to equal 1/12 for the equation to be true.
If we wanted to do things "your way" we would have to read the equation as "the quotient of 48 divided by 2, when multiplied by x, equals 288". I can't think of one good reason to interpret the equation that way because if that was the intent then it would have made infinitely more sense to have simply written:
People are interpreting it as either:
I personally think the second option requires more assumptions than the first. If were to follow the order of operations, we'd do the parentheses first and then after that, work the equation from left to right, which means the 48÷2 would be override 2*12.
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Clearly, the answer is 288:
YouTube - 48÷2(9+3) - Hitler parody
This is actually the most political thread ever. It conclusively proves that democracy does not work.
You are partially right. but to make this division (divided by 2) a multiplication, you had to make 2 a fraction and it becomes 1/2, no longer 2!
It is very different!
If you use the division, you get 48/2 = 24
If you use the multiplication WITHOUT changing the 2 to a fraction (1/2), you would get, 48*2 and it would be 96
However, if you make the 2 a fraction you would still get the same result
48*1/2 = 24
So, in order to make a division into a multiplication, you have to CHANGE the original number into a fraction of the original number, which is a lot more complicated and totally unnecessary! Why complicate things?
Sorry, you may be right, but I still don't see it.
Because, to make a division into a multiplication, you need to CHANGE the original number into a fraction of that number!
So, 48/2(9+3) = 2
is very different then 48*2(9+3) =288
but is the same as 48*1/2(9+3)
which can also be written as 48*1/2*(9+3) = 2
You are organizing a tail-gate party and want to make sandwiches.
You expect ~ fifty (50) people.
You call the Deli, and they tell you that an $8.95 pack of cold-cuts and a $2.99 bag or rolls makes two dozen (24) sandwiches.
So... for the party, about how many sandwiches can you pay off for every dollar you collect for supplies?
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48÷2=48*(1/2). that's not changing anything. both sides of that equals sign are exactly the same forever and ever and ever. the definition of division is multiplication by a value's reciprocal. that's just a fact. you don't have to believe me, but i'm right.
writing it as "48*(1/2)(9+3)" is NOT changing anything. both expressions are EXACTLY THE SAME. it's not complicating anything. in fact, it's turning it into a simpler expression.
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