@denki @hayalci @fortyseven @clement_la_baleine @schmutzie
"If highschool mathematics is at odds with ordinary mathematics" - it isn't. I never said it was. I only said University people have forgotten how to do a Year 8 Maths problem. My thread clearly states that #MathsIsNeverAmbiguous, and #DontForgetDistribution
You're just throwing Strawmans at me now. We're done. Bye now.
#mathsisneverambiguous #dontforgetdistribution
1/1
#MathsMonday Order of operations thread index
#Mathematics #Maths #Math
Introduction https://dotnet.social/@SmartmanApps/110807192608472798
1 The Distributive Law #DontForgetDistribution https://dotnet.social/@SmartmanApps/110819283738912144
2 Terms #MathsIsNeverAmbiguous https://dotnet.social/@SmartmanApps/110846452267056791
3 Factorising<->The Distributive Law https://dotnet.social/@SmartmanApps/110886637077371439
Yet to come (in no particular order yet)...
"implicit multiplication", adding brackets, mnemonics, 1/2/3, #Calculators , how we #Teachers #Textbook #Authors could improve #Education , 1917, (more?)
#mathsmonday #mathematics #maths #math #dontforgetdistribution #mathsisneverambiguous #calculators #teachers #textbook #authors #education
1/4 #MathsMonday
Now we'll tie the previous 2 #Math rules together and see why #Mathematics order of operations means #MathsIsNeverAmbiguous provided you #DontForgetDistribution
Start with 1, also the result of any number divided by itself, so let's write 8/8
We can factorise, and 8 is even, so let's take out a 2, 8/2(4)
We can rewrite the stuff in brackets without changing the answer, so let's write 8/2(1+3)
I started with 1,so we have to make sure the rules of #Maths get us back there...
#mathsmonday #math #mathematics #mathsisneverambiguous #dontforgetdistribution #maths
@DevWouter @mattgoldman both got the correct answer of 1 - well done! Let's look at the correct working out, then delve into where people go wrong with their #Maths #math
8/2(1+3)
=8/(2*1+2*3)
=8/(2+6)
=8/8
=1
Also acceptable is...
8/2(1+3)
=8/2(4)
=8/(2*4)
=8/8
=1
If you've seen someone say that it's ambiguous, it isn't - we shall see in coming weeks that #MathsIsNeverAmbiguous they have simply forgotten one or more #Mathematics rules
First, #DontForgetDistribution the Distributive Law...
#maths #math #mathsisneverambiguous #mathematics #dontforgetdistribution