Recommended Posts

Haha, what are you bringing into this argument, relativism?

Sure there are many ways to interpret this question. But there is only one correct way. Any other way is incorrect.

48?2(9+3) is the same thing as 48/2*(9+3). It is also the same thing as 48*(9+3)/2, 48*0.5*(9+3), 48/2*1*(9+3), etc. It is NOT the same thing as 48/(2(9+3)).

My point was mainly that people seem to be spending lots of post space on solving the equation after you interpret it into a different form, when really what we should be discussing is that interpretation.

I have seen arguments on both sides of this interpretation in this thread, including some that cite that multiplication and juxtaposition as having slightly different precedence, and some that simply do not acknowledge juxtaposition in the order of operations.

I'm mostly saying that we need sources, one way or another, and also the authority of that source needs to be considered.

Anyway, just because an equation can be solved in exactly one correct way doesn't mean that it still can't be criticized for being unclear. I'm pretty sure if I turned in an answer formatted like the original equation in a college math class that I could expect points taken off for not writing it more clearly. I've heard from professors many times that adding more parentheses to better show your intent is a good thing, even if it would be technically correct without them.

My point was mainly that people seem to be spending lots of post space on solving the equation after you interpret it into a different form, when really what we should be discussing is that interpretation.

I have seen arguments on both sides of this interpretation in this thread, including some that cite that multiplication and juxtaposition as having slightly different precedence, and some that simply do not acknowledge juxtaposition in the order of operations.

I'm mostly saying that we need sources, one way or another, and also the authority of that source needs to be considered.

Anyway, just because an equation can be solved in exactly one correct way doesn't mean that it still can't be criticized for being unclear. I'm pretty sure if I turned in an answer formatted like the original equation in a college math class that I could expect points taken off for not writing it more clearly. I've heard from professors many times that adding more parentheses to better show your intent is a good thing, even if it would be technically correct without them.

This is basic Math, with well established rules. There's no "slightly different precedence", and there isnt even room for interpretation. Interpretation? REALLY? The only way an equation expressed that way would be open to interpretation is if it was expressed incorrectly. If it's not, there's only one way to solve it. And I think we have established it IS expressed correctly, albeit in a confusing way. It's still 288.

You could have just said you don't know/recognize juxtaposition instead of writing all that unnecessary junk.

Again the problem is ambiguous. There is no absolute correct answer. It's 2 if you recognize juxtaposition, and 288 if not. No need to be an ass.

If "juxtaposition" means that the juxtaposed number has a higher precedence than multiplication 2x^2 would be 4*x^2 instead of 2*x^2. Which we all know is not the case.

This is basic Math, with well established rules. There's no "slightly different precedence", and there isnt even room for interpretation. Interpretation? REALLY? The only way an equation expressed that way would be open to interpretation is if it was expressed incorrectly. If it's not, there's only one way to solve it. And I think we have established it IS expressed correctly, albeit in a confusing way. It's still 288.

I've seen a couple of sources (not sure of credibility) that cite the rule of juxtaposition as being valid. I've seen people cite their 4th grade teacher and wikipedia in response.

I've seen a couple of sources (not sure of credibility) that cite the rule of juxtaposition as being valid. I've seen people cite their 4th grade teacher and wikipedia in response.

I would like to see those sources. Because all I get using google to look for "Juxtaposition rule" leads me to this very same thread on different forums, all of them with insane amount of pages arguing this. Which makes me think that no such thing even exists in the first place.

In all computer algebra systems, 48/2(9+3) is interpreted to be 48 / 2 * (9 + 3).

For instance, if I write f(x) = 1/2tan(x), the only correct interpretation is f(x) = 1/2*tan(x), not 1/(2*tan(x)). It's a common rule that groups that must be evaluated as a whole ought to be enclosed by brackets to avoid confusion. In writing, there's also no exception. Maths is meant to be universal. The last thing we want is confuse the kids in basic concepts.

This thread makes me sad.

There IS NO ALTERNATE INTERPRETATION or "how you interpret it". It's just right or wrong. Why the hell are we arguing something learned in elementary school?

It is written in a somewhat confusing manner, but that doesn't mean you can interpret it otherwise. It's just wrong, and just because you're confused, doesn't make it right.

The answer is 288. Plain and simple as everyone has explained it over and over again. It is NOT 2.

Then explain to me why in my engineering books 2x is not the same as 2 * x ?

At university i've always did 2(something) first and always got the right answer.

do we need to teach people order of operators again?

Parenthesis first

Exponents second

Multiplication third

Division fourth

Addition fifth

Subtraction sixth

48?2(9+3) turns into (48 / 2) * (9 + 3) which means do it in this order

(48 / 2) = 24

(9 + 3) = 12

24 * 12 = 288

you have to remember to "segment" operations off so when you do that it turns into this

( (48 / 2 ) ( 9 + 3) )

then

( ( 48 / 2) * ( 9 + 3 ))

then

( (24) * (12))

From my own exp in engineering math (electrical engineering degree) 2x or 2() will be considered as juxtaposition and be done first.

we've always been taught to do it the way I did it, even in engineering fields... because the 2 is part of the division statement so you can't move it... are you going to take the denominator of the division statement and multiply it first? no... it in itself is part of a number which is represented by 48 over 2 which is a number represented as a fraction... then that fraction can be multiples.... if you want to multiply the 2 first you have to have it encased in parenthesis first with the other part of the equation like this

48?(2(9+3))

do we need to teach people order of operators again?

Parenthesis first

Exponents second

Multiplication third

Division fourth

Addition fifth

Subtraction sixth

except as multiple people have pointed out through this thread, and any search will show you, that is incorrect

PEDMAS

Parenthsis

Exponents

Multiplication AND Division

Addition AND Subtraction

similarly

BODMAS

Brackets

Orders

Multiplication AND Division

Addition AND Subtraction

Multiplication does not take precedence over division

Addition does not take precedence over subtraction

The problem is you wrote 48 * 1/2 * (9+3). But you cannot do the division before the "of" operator. Again you are showing you don't know the difference between multiplication and "of". The problem can be solved like this:

48 / 2(9+3)

= 48 / 2 of (9+3)

= 48 / 2 of 12

= 48 / 24 ; because of has a higher precedence than division

= 2

if the problem was 48 / 2 * (9+3), then the solution would have been:

48 / 2 * (9+3)

= 48 / 2 * 12

= 24 * 12

= 288

What are children being taught nowadays :huh:

"of" operator?????

WHAT THE HELL IS AN "OF" OPERATOR :unsure:

This topic is now closed to further replies.
  • Recently Browsing   0 members

    • No registered users viewing this page.
  • Posts

    • This is what happens when numerous "twenty somethings" are allowed to run amok with little to no supervision by more senior/knowledgeable people. Apparently, cheaper labor is more important than putting out quality products.
    • yep, had to do somet things w linux tho cuz the nvme was from a system w a 10th gen intel and this is 8th gen so I ran the updater and we shall see if it fixed the display issue or not.   when I opened timeshift last night it had some x display errors...
    • The inconsistencies in the Windows interface have been plaguing us for so long that it has practically become a joke. I just wonder when we'll have a new Windows with a complete UI/UX as it used to be... oh how I miss that... 😔
    • I don't know if the Obamas are still involved with Netflix, but if they are like they were with a lot of influence, they could be the ones nudging Netflix into foreign shows. Just saying, nothing poltical meant by it. Peace
    • Microsoft PC Manager 3.22.1.0 (Offline Installer) by Razvan Serea With Microsoft PC Manager, users can easily perform basic computer maintenance and enhance the speed of their devices with just one click. This app offers a range of features, including disk cleanup, startup app management, virus scanning, Windows Update checks, process monitoring, and storage management. Microsoft PC Manager key features: Storage Manager- easily uninstall infrequently used apps, manage large files, perform a cleanup, and set up Storage Sense to automatically clear temporary files. Health Checkup feature -scans for potential problems, viruses, and startup programs to turn off. It helps you identify unnecessary items to remove, optimizing your system's performance. Pop-up Management - block pop-up windows from appearing in apps. Windows Update - scans your system for any pending updates. Startup Apps - enable or disable startup apps on your PC, allowing you to optimize your system's startup performance. Browser Protection - rest assured that harmful programs cannot alter your default browser. Also enables you to change your default browser. Process Management - allows you to conveniently terminate any active process, ensuring optimal system performance and resource utilization. Anti-virus protection - Fully integrated with Windows Security. Safeguard your PC anytime. Quick Steps: Download Microsoft PC Manager Offline Installer (APPX/MSIX) with Adguard Adguard serves as a third-party online service, offering a user-friendly method for directly downloading appx, appxbundle, and msixbundle files from the Microsoft Store. Official download links will be generated for both the app's various versions and its dependency packages. How to download Microsoft PC Manager Offline Installer (APPX/MSIX) 1. Initially, you must find the app URL within the Microsoft Store. Access the Microsoft Store via your browser and search for "Microsoft PC Manager". Once located, copy the app URL, which includes the product ID, either from the address bar or from the provided link below. https://apps.microsoft.com/detail/9PM860492SZD 2. Now paste the app URL into the designated area, then click the check mark button to produce a direct download link. 3. To download, right-click the relevant link and select “Save link as…” from your browser's menu. Occasionally, Microsoft Edge may flag the download as insecure. In such cases, consider utilizing alternative browsers such as Google Chrome or Firefox to successfully complete the download. Microsoft PC Manager is a completely free tool optimized exclusively for use on Windows 10 (19042.0 and above) and Windows 11. Download: Microsoft PC Manager 3.22.1.0 | from Microsoft Store View: Microsoft PC Manager Home Page | Screenshot Get alerted to all of our Software updates on Twitter at @NeowinSoftware
  • Recent Achievements

    • First Post
      NovaEdgeX earned a badge
      First Post
    • One Month Later
      pahariyaseo earned a badge
      One Month Later
    • Week One Done
      pahariyaseo earned a badge
      Week One Done
    • Week One Done
      hadiaali45 earned a badge
      Week One Done
    • Week One Done
      arone_24 earned a badge
      Week One Done
  • Popular Contributors

    1. 1
      +primortal
      414
    2. 2
      PsYcHoKiLLa
      142
    3. 3
      Nick H.
      89
    4. 4
      +Edouard
      81
    5. 5
      neufuse
      74
  • Tell a friend

    Love Neowin? Tell a friend!