48÷2(9+3) = ?

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Originally Posted By: Nick R
It's 2.

When you have 48 / 2(9+3) You would do the 9+3 first, since it is in parenthesis. Then you multiply that by 2. (Multiplication first) then, you would divide 48 by that.


So 48 / 2(12)
48 / 24
2


When a number is placed directly beside the outside of a bracket, it is multiplied by the contents of the bracket Nick.

Brackets first: 48÷2(12) =
Then process the rest of the equation:
24(12) = 288
 
Originally Posted By: d00df00d
It's a matter of how you see what is presented.



No it's not. If you follow order of operations, you'll get the correct answer every time. Math isn't subjective. It's not "how you see it".
 
Originally Posted By: Drew99GT
Originally Posted By: d00df00d
It's a matter of how you see what is presented.



No it's not. If you follow order of operations, you'll get the correct answer every time. Math isn't subjective. It's not "how you see it".


EXACTLY....there ISN'T another way to see this...there is one way to do this correctly!

Geeeze, school standards have slipped, if people has been taught that there is more than one way to see this!
 
Originally Posted By: OVERK1LL
When a number is placed directly beside the outside of a bracket, it is multiplied by the contents of the bracket Nick.

Brackets first: 48÷2(12) =
Then process the rest of the equation:
24(12) = 288


You didn't do what you said the rule was. You said the rule was that a number placed directly beside a bracket is multiplied by the contents of the bracket. By this/your explanation, it is:

48 / 2(12)
48 / 24
= 2
 
Originally Posted By: addyguy

Geeeze, school standards have slipped, if people have been taught that there is more than one way to see this!


Fix it quick dude!!!
crackmeup2.gif
 
Originally Posted By: Hokiefyd
Originally Posted By: OVERK1LL
When a number is placed directly beside the outside of a bracket, it is multiplied by the contents of the bracket Nick.

Brackets first: 48÷2(12) =
Then process the rest of the equation:
24(12) = 288


You didn't do what you said the rule was. You said the rule was that a number placed directly beside a bracket is multiplied by the contents of the bracket. By this/your explanation, it is:

48 / 2(12)
48 / 24
= 2


No.... Because the division comes before the multiplication...... We work left to right.

What is in the brackets is done first. Then the equation is processed in order. 48 is divided by 2, then multiplied by the contents of the brackets, giving us 288.
 
I was taught that PEMDAS always trumped left to right order. Therefore:

48/2(9+3)
48/2(12) P
48/24 M
= 2 D
 
Originally Posted By: Drew99GT
Originally Posted By: d00df00d
It's a matter of how you see what is presented.



No it's not. If you follow order of operations, you'll get the correct answer every time. Math isn't subjective. It's not "how you see it".

Sorry, I guess I wasn't clear. I didn't mean to say the correct answer was a matter of perception. I was trying to point out the reasons for why people were getting different answers.
 
Originally Posted By: HollowEyes
I was taught that PEMDAS always trumped left to right order. Therefore:

48/2(9+3)
48/2(12) P
48/24 M
= 2 D

Multiplication and divison have equal priority in the order. Ditto addition and subtraction.
 
Originally Posted By: HollowEyes
I was taught that PEMDAS always trumped left to right order. Therefore:

48/2(9+3)
48/2(12) P
48/24 M
= 2 D


You guys must have different math
wink.gif


We were taught that brackets were done first. Division/multiplication are processed in order, left to right.
Addition/subtraction are done again, in order, left to right. But after the division/multiplication.

There's even a wiki link on this!

http://en.wikipedia.org/wiki/Order_of_operations
 
But once you've added 9+3, you're finished with the parenthetical math. You work from left to right to get 288.

Originally Posted By: HollowEyes
I was taught that PEMDAS always trumped left to right order. Therefore:

48/2(9+3)
48/2(12) P
48/24 M
= 2 D
 
This website:

http://www.purplemath.com/modules/orderops2.htm

Indicates that you'd multiply the brackets by the 2 first, then divide 48 by that, resulting in 2.

Quote:

Simplify 16 ÷ 2[8 – 3(4 – 2)] + 1.
16 ÷ 2[8 – 3(4 – 2)] + 1
= 16 ÷ 2[8 – 3(2)] + 1
= 16 ÷ 2[8 – 6] + 1
= 16 ÷ 2[2] + 1 (**)
= 16 ÷ 4 + 1
= 4 + 1
= 5

The confusing part in the above calculation is how "16 divided by 2[2] + 1" (in the line marked with the double-star) becomes "16 divided by 4 + 1", instead of "8 times by 2 + 1". That's because, even though multiplication and division are at the same level (so the left-to-right rule should apply), parentheses outrank division, so the first 2 goes with the [2], rather than with the "16 divided by".


OVERK1LL, this is how I read your rule earlier, and how I would have completed the formula as well. I get 2 from the OP's formula.
 
Originally Posted By: Hokiefyd
This website:

http://www.purplemath.com/modules/orderops2.htm

Indicates that you'd multiply the brackets by the 2 first, then divide 48 by that, resulting in 2.

Quote:

Simplify 16 ÷ 2[8 – 3(4 – 2)] + 1.
16 ÷ 2[8 – 3(4 – 2)] + 1
= 16 ÷ 2[8 – 3(2)] + 1
= 16 ÷ 2[8 – 6] + 1
= 16 ÷ 2[2] + 1 (**)
= 16 ÷ 4 + 1
= 4 + 1
= 5

The confusing part in the above calculation is how "16 divided by 2[2] + 1" (in the line marked with the double-star) becomes "16 divided by 4 + 1", instead of "8 times by 2 + 1". That's because, even though multiplication and division are at the same level (so the left-to-right rule should apply), parentheses outrank division, so the first 2 goes with the [2], rather than with the "16 divided by".


OVERK1LL, this is how I read your rule earlier, and how I would have completed the formula as well. I get 2 from the OP's formula.


Love this quote from that page:

Quote:
Note that different software will process this differently; even different models of Texas Instruments graphing calculators will process this differently. In cases of ambiguity, be very careful of your parentheses, and make your meaning clear. The general consensus among math people is that "multiplication by juxtaposition" (that is, multiplying by just putting things next to each other, rather than using the "×" sign) indicates that the juxtaposed values must be multiplied together before processing other operations. But not all software is programmed this way, and sometimes teachers view things differently. If in doubt, ask!


Sums it up nicely, LOL
grin.gif


My sister is doing her PhD defense in a couple months... for math. I'm going to ask her how she sees it.

-Chris
 
Possibly 2

but there is no operator between the () and 2 which I cannot recall is legit for an expression.
 
I've seen things like 2(a+b) a lot. You distribute the 2, and it becomes (2a+2b). In this case, you have 2(9+3), and that becomes (2*9 + 2*3), or (18+6), or 24.

I was always taught to distribute first, if distribution is part of the expression. So you can distribute the 2 first and evaluate that, or you can do the 9+3 first and then evaluate the 2(12) before the division; either way, you end up with 2 as an overall result.
 
35.gif
Oh God, no wonder there's so many mistakes.
35.gif
 
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