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#dontforgetdistribution

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱

5/9
So let's get to the #poll results...
dotnet.social/@SmartmanApps/11

The first and last option were split evenly, which was expected - when-ever people claim that the expression is ambiguous, and that "you need to add brackets", they usually go for one of those 2 options (and sometimes 8÷(2*(1+3)) in the case of the last).

First I want to re-iterate that the expression is NOT ambiguous - #MathsIsNeverAmbiguous #DontForgetDistribution - but I'll play Devil's Advocate... then debunk... ;-)

dotnet.social💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 (@SmartmanApps@dotnet.social)If you were to add brackets to the expression 8÷2(1+3), where would you add them? Please boost for reach Note: the intention here is to see how well people remember the rules from High School, so please no teachers or current HS students answering. And also please no commenting about answers until the #Poll has closed (yes, I'm only allowing you to pick one) Thanks for voting. Results discussed at https://dotnet.social/@SmartmanApps/111124738119808090 #MathsMonday #Mathematics #Maths #Math [ ] (8÷2)(1+3) [ ] (8)÷2(1+3) [ ] 8÷(2)(1+3) [ ] 8÷(2(1+3))
Replied in thread
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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱

6/6
So remember, the "M" for multiplication in the mnemonics (BEDMAS, PEMDAS, whatever) refers LITERALLY to multiply signs. If there's no multiply sign, then it's NOT "multiplication", it's a Term. If there's a bracketed term which has a coefficient, then the coefficient has to be distributed, and that's part of solving Brackets/obeying The Distributive Law. Anyone who says anything different to that is just #LoudlyNotUnderstandingThings

#MathsIsNeverAmbiguous#DontForgetDistribution
Continued thread
💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱

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...

Continued thread
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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱

@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...

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