2023-08-14 06:56 UTC
3/4
So 1+3 has been joined by brackets, and the 2 has been joined to that due to not being separated by an operator, so our second term is 2(1+3) - the standard way of writing factorised expressions - and our 1st Term is 8,which is separated from the 2nd Term by a division. If we wrote out expanding the brackets in full, it would be 2(1+3)=(2*1+2*3). Note that the "multiplication" (distribution) is INSIDE the brackets, hence it is part of Brackets in order of operations, NOT "multiplication"...
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@SmartmanApps@dotnet.social 2023-08-14 06:59
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