48÷2(9+3) =

[Matthiasa]

Someone's invoking TI who can't make up their minds between -1²=-1 (correct) and -1²=1 (incorrect)??

Except it is quite clear that's not what they are doing.

Sorry TI? Trying to think what this stands for.

TI is Texas Instruments.

 

[ImDonly1]

See the last example on here
http://www.purplemath.com/modules/orderops2.htm

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". That is, multiplication that is indicated by placement against parentheses (or brackets, etc) is "stronger" than "regular" multiplication. Typesetting the entire problem in a graphing calculator verifies this hierarchy:

According to that answer should be 2.

 

[Mr. Pedantic]

Hold on here...

There is a big difference between 48/2(9+3) and 48/2*(9+3).

Let x=(9+3).

48/2x = ?

Those who are throwing in an extra * are changing the problem.

The answer should still be 288. It's just that a bit more clarity and more parentheses would help.

 

[rcpratt]

See the last example on here
http://www.purplemath.com/modules/orderops2.htm

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". That is, multiplication that is indicated by placement against parentheses (or brackets, etc) is "stronger" than "regular" multiplication. Typesetting the entire problem in a graphing calculator verifies this hierarchy:

According to that answer should be 2.

Oh, well if purplemath says so.

Multiplication OUTSIDE of parenthesis doesn't make the parenthesis rule apply. 2(4) is the same thing as 2*4. Multiplication is multiplication no whether it's written 2(x), 2x, 2*x, whatever.

 

[JS80]

lol i can't believe this is still going

lol @ "implied" brackets

 

[soulcougher73]

Hold on here...

There is a big difference between 48/2(9+3) and 48/2*(9+3).

Let x=(9+3).

48/2x = ?

Those who are throwing in an extra * are changing the problem.

From what ive always been taught their is no difference between those. You still do parentheses first. After that its just simple left to right. Anytime a number is next to parentheses it is multiplication. So putting a "*" there doesnt change anything.

Again this is the way ive always been taught and i always got A+'s in all my math classes that i took. Granted i never got into high level stuff but this is simple Algebra here.

 

[BrokenVisage]

Teh brackets R implied!!!

 

[Tempered81]

looks like TI's choice to make 1980s-1990's graphing calculators give priority to implied multiplication on the brackets (just so it was easier for students to type it in) was a bad choice. It's led to a shitty teaching practice in algebra thats thrown off 50% of us(according to the poll). It kinda goes with the transition of deciphering equations shorthand(pen & pad) to the digital age of calculations done on the computer/calculator(charsets).

/hrm (im confused)

but yea 288 is correct, even though i was taught to think like the ti-85 cuz i was a student using that and input my functions taht way

i failed the poll (chose 2)

 

[FS]

48/2(9+3)

Parenthesis: 9+3 = 12
^ taken care of, so no more 'P' left

Multiplication or Division (whichever comes first, from left to right): 48/2 = 24 and not (2*9) + (2*3) because you're skipping what's on the left. Remember, you got to go from left to right so even though distributing is multiplication you can't solve for that 'M' before you have done the 'M' or 'D' in front of it.

12 * 24 = 288

Whether brackets/parenthesis are implied or not makes no difference as long as you go from left to right and follow PE[M/D][A/S]

 

[Suspicious-Teach8788]

looks like TI's choice to make 1980s-1990's graphing calculators give priority to implied multiplication on the brackets (just so it was easier for students to type it in) was a bad choice. It's led to a shitty teaching practice in algebra thats thrown off 50% of us(according to the poll). It kinda goes with the transition of deciphering equations shorthand(pen & pad) to the digital age of calculations done on the computer/calculator(charsets).

/hrm (im confused)

but yea 288 is correct, even though i was taught to think like the ti-85 cuz i was a student using that and input my functions taht way

i failed the poll (chose 2)

I highly doubt TI's fault is why we're all screwing up on this poll. I think a lot of people are ONLY remembering the acronym PEMDAS, and thus are doing the multiplication before division. I learned PEMDAS in like 7th grade... at least the acronym, but when my parents taught me order of operations, I was always taught division and multiplication are on the same order of importance so you just do them left to right. That's exactly how you're supposed to do it.

I don't really remember learning PEMDAS and that M & D are in the same rank of orders of operation. However, that may because I didn't give a rat's ass in pre-algebra because I learned all that crap at least 2 years before.

 

[Locut0s]

TI is Texas Instruments.

Ahh right shit should have caught that.

 

[Locut0s]

Someone's invoking TI who can't make up their minds between -1²=-1 (correct) and -1²=1 (incorrect)??

I'm not so sure it's invoking so much as showing that as the question is written in the OP there may be enough ambiguity even amongst experts (those who programmed the calculator, as well as people who deal with math daily) that more than one answer may be given. If in doubt brackets should always be added to state exactly what you mean to avoid this kind of problem.

 

[Matthiasa]

Well no, that's the thing there really is no set in stone rule on that... at least in academia. Those below that seem to have some notion of otherwise but they are just trying to deceive themselves into thinking such.
Both are either right or wrong depending on the source that you choose.
If you doubt tha,t look up multiplication by juxtaposition and see what shows up.

 

[JS80]

See the last example on here
http://www.purplemath.com/modules/orderops2.htm

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". That is, multiplication that is indicated by placement against parentheses (or brackets, etc) is "stronger" than "regular" multiplication. Typesetting the entire problem in a graphing calculator verifies this hierarchy:

According to that answer should be 2.

edit:

Since when the hell did they make this up?

edit2:

(And please do not send me an e-mail either asking for or else proffering a definitive verdict on this issue. As far as I know, there is no such final verdict. And telling me to do this your way will not solve the issue!)

lol great

 

[Matthiasa]

Purple math says you're stupid



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

[] =/= ()

Go to the next page...
/fail
Oh and []=() at least for grouping, it is simply a case of clarity.

 

[Newbian]

Fyi... that purple math image is not linking right.

 

[mjrpes3]

hey can please have ANOTHER 1,000 explanations of PEMDAS in this thread. I THINK by then we shall know what PEMDAS MEANS for REALz and GET TEH 288.

K BYAE AND LOL @ implied brackets wtf

 

[nanette1985]

Oh really? Why pretend, we both know perfectly well what this is about. You want me to have an abortion.

Well, he certainly doesn't want you to go forth and multiply.

This thread is one of the funniest I've ever seen on ATOT (computer programmer, BS/MS CS)

 

[SSSnail]

Well, he certainly doesn't want you to go forth and multiply.

This thread is one of the funniest I've ever seen on ATOT (computer programmer, BS/MS CS)

He's certainly not only confused about mathematics, he's also clueless with biology. Ironwing, you silly bastage, you can't get pregnant. And NO, I'm not paying anything.

 

[Born2bwire]

Man, I get 0.5.

 

[qliveur]

ROFLcopter!

OK, at first I got 2, but after thinking about it for a few seconds I got this:

48÷2(9+3) =

48
---(9+3)
2

without a calculator and I went from there. 288's my answer and, right or wrong, I'm sticking to it.




Oh, and I must post this problem elsewhere; if only to start a ginormous troll thread like this one.

 

[sdifox]

Sorry TI? Trying to think what this stands for.

Texas Instruments. You know, the calculators people are referencing? :biggrin: Your company sells them.

http://www.ncix.com/products/?sku=39272&vpn=BAIIPLUS&manufacture=Texas%20Instruments

 

[sdifox]

ROFLcopter!

OK, at first I got 2, but after thinking about it for a few seconds I got this:

48÷2(9+3) =

48
---(9+3)
2

without a calculator and I went from there. 288's my answer and, right or wrong, I'm sticking to it.




Oh, and I must post this problem elsewhere; if only to start a ginormous troll thread like this one.

Did you miss the will it take off thread?

 

[TwiceOver]

I did really poor in all my math classes and still came out with 288. Don't know how people are getting 2 as the answer.

 

[SP33Demon]

11 pages because people don't know order of operations, i.e. left to right. Go back to school.