@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.

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?)

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...

@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...