
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
 LinkBack  Thread Tools  Display Modes 
September 22nd, 2019, 10:13 AM  #1 
Newbie Joined: Sep 2019 From: Poland Posts: 3 Thanks: 0  Order of operation
My daughter has a math problem that both me and my wife got incorrect due to order of operations. The problem is: (2 3/4  3.5) * (2^2) Solving each term between the brackets = (11/4  14/4) * (4) = (3/4) * (4) =  12/4 =  3. The correct answer and method according to the key is as follows.... (3/4) * (2^2) = (3/4) * (2^2) = 3..... What is this black magic where you are allowed to multiply each term between brackets by  1 before raising  2 to the powers of 2? Shouldn't powers go before multiplication? Help would be appreciated! 
September 22nd, 2019, 10:33 AM  #2 
Senior Member Joined: Jun 2019 From: USA Posts: 310 Thanks: 162 
We had a discussion about this several weeks ago. I think the consensus was that by convention, 2^2 without brackets does not mean (negative two) squared, but the negative of (two squared). The same as $\displaystyle e^{x^2}$ means $\displaystyle \frac{1}{e^{x^2}}$. Incidentally, I was in the camp that initially thought the same as you. 
September 22nd, 2019, 10:49 AM  #3 
Newbie Joined: Sep 2019 From: Poland Posts: 3 Thanks: 0 
The fun of it is that if you type it out in python you get 3. If you put it into open office calc you get  3. So that could cause a lot of damage ðŸ˜• Since renown software gives different answers I'm not sure how mere mortals should treat this... Thanks for the answer though. It's appreciated 
September 22nd, 2019, 11:08 AM  #4 
Senior Member Joined: Mar 2015 From: Universe 2.71828i3.14159 Posts: 132 Thanks: 49 Math Focus: Area of Circle 
Which means developers of Python are smarter. Although OpenOffice may have been developed in Python, I am not sure.

September 22nd, 2019, 11:13 AM  #5 
Senior Member Joined: Jun 2019 From: USA Posts: 310 Thanks: 162 
Someone went to the trouble of performing a survey of various coding languages' interpretations, and basically the conclusion was: when in doubt, use brackets.

September 22nd, 2019, 11:22 AM  #6  
Newbie Joined: Sep 2019 From: Poland Posts: 3 Thanks: 0  Quote:
Also I deal with a lot of rules and regulations.. That are written in that form. How am I to know in what camp the regulator was when writing the rules.... Really scary stuff...  

Tags 
operation, order 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Reduction of 2nd order PDE to a first order equations system  math2016  Differential Equations  2  October 2nd, 2015 08:04 AM 
Operation Order Problem  Wayfarer  Algebra  1  March 7th, 2015 08:19 PM 
Proof that group of order 2k containts order k subgroup  Kappie  Abstract Algebra  0  April 22nd, 2012 01:52 PM 
Order of operation (division) in algebra  sharp  Algebra  10  December 22nd, 2010 04:50 PM 
Order of Operation Calculator  martsbradley  New Users  0  March 20th, 2009 04:58 PM 