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48÷2(9+3) =


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48÷2(9+3) = 288

48÷(2(9+3)) = 2

 

Case #1: The (9+3) is myltiplied by the numerator

 

48(9+3)

________

2

 

It becomes:

 

48*12

_______

2

 

Then:

 

576

___

2

 

And this gives us "288"

 

Case #2: The (9+3) is myltiplied by the denominator

 

48

_____

2(9+3)

 

This becomes:

 

48

______

2*12

 

Then:

 

48

___

24

 

And this gives us "2".

 

The original problem's form was the problem to everybody here, as it's not clear whether the (9+2) part is multiplied by the numerator or the denominator.

 

This is correct.

Agreed, but you have to admit, it was kinda messy in its original form.

 

lol if there was only 1 correct answer, then there wouldn't be this big debate.

My friend, if that was true, washing machines wouldn't work, planes would fall off the sky and buildings would collapse rapidly... When you find 2 answers in a math problem, it's probably that you have really messed up somewhere.

 

Yes. :thmbup1:

That makes us 3, man. MATHEMATICS RULE!

 

And so it begins...

 

 

MUHAHAHAHA!

 

And so it ends, Q...

 

BHAHAHAHAHAHAHAhAha!!!!!

 

Don't make me start talking about limits, derivatives and integrals, or you're all doomed...

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This is simple.

 

You just rewrite it as:

 

48÷2*(9+3)

= 48÷2*12

= 24*12

= 288

 

There's no rule in mathematics that dictates distribution of a coefficient of numbers in grouping symbols takes any precedence over "normal" multiplication. The reason there's no "x", "*" or "⋅" is because it is simpler to omit them. Everyone analyzing the problem should know what "a(b)" means, it is a formal notation. Of course, in problems like these, it would in fact be simpler to include either, to prevent confusion as to whether it is a fraction with 48 in the numerator and 24 in the denominator, or 24(12), the latter being correct.

 

/thread

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