2023-08-14 06:59 UTC
4/4
Most common mistake I see is...
8/2(1+3)
=8/2(4)
=8/2*4
=4*4
=16
The mistake happens when 2 and 4 get separated, which moved 4 into the numerator, instead of staying in the denominator. i.e. ignored that 2(4) is a single Term.
But obeying TDL could've saved it...
8/2(1+3)
=8/2(4)
=8/(2*4)
=8/8
=1
The mistake is regarding distribution as "multiplication", and so lowering it from the high precedence of "brackets". "multiplication" ONLY refers literally to multiplication signs. More next week
Replies (1)
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@SmartmanApps@dotnet.social 2023-08-21 04:39
1/7 This week for #MathsMonday we are going to debunk the "implicit multiplication" (IM) claims (and also look at the mnemonics). I say claims, because there is actually no such thing as IM in #Mathematics. I find invariably the people who say there is have forgotten The Distributive Law (TDL) and/or Terms, but most often both! As we have already seen, these are both rules of #Maths, taught in many #Math textbooks, so that right away debunks any claims that "there is no convention in Maths"...