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269 posts · Last used 16h

💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 31mo ago
Replying to
1/6 This week for #MathsMonday I'm going do - again - a #mathematics order of operations proof, but the simple version. 🙂 Last time there were people who were claiming that + and - "can be a binary operator", and I was actually addressing that, but in the process proved that #Maths binary operators have to be solved before #Math unary operators, thus proving the order of operations rules, but this time an arithmetic approach, based on the operator definitions...
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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 4mo ago
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1/5 #MathsMonday #Maths #Math This week a commonly-forgotten rule of #Mathematics - because we usually skip these lines of working out and go straight to the solution - when we substitute a value for a pronumeral, the value goes in brackets. i.e. if a=3, then 2a=2(3), not 23, because 2a=6, not 23. We can see this explicitly demonstrated on page 36 of Modern Algebra https://archive.org/details/modernalgebrastr01dolc_2 If showing full working out (which Modern Algebra skips) then the next step is to apply...
archive.org

Modern Algebra: Structure and Method - Book 1, Teacher

v. 25 cm

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💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱 @SmartmanApps@dotnet.social
· 4mo ago
Replying to
1/5 #MathsMonday I'm coming back to a point I've covered before, but this time adding #Mathematics textbooks for the sake of completeness, that being the history of what Division meant in #Maths, with emphasis on what it means now in #Math Up until at least the 17th Century everything that followed a division symbol was in the Divisor. We can see that in Teutsche Algebra (1659), on page 76, where 7÷GG+1 means 7÷(GG+1)....
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