Discussion:  All Topics 
Topic:  Order of Operations (BOMDAS) 
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Subject:  RE: Simplify the OOO using terms 
Author:  lukus 
Date:  May 9 2006 
> My students never have problems with Order Of Operations because
> they are told to split all expressions into terms.
A term starts
> with a + or  that is NOT in parentheses.
Thus, to evaluate 5*4
> +3(68)+3^28+5
the student writes 5*4 +3(68) +3^2 8 +5
> Each term is evaluated +20 6 +9 8 +5
The reults are now
> combined according to the rules of Algebra. +34 14 = +10
!!!WRONG***WRONG!!!
> Students discover that the individual terms can be evaluated in ANY
> order.
Creating terms is particularly important with expressions
> such as 103(2) where students tend to write 7(2)=14
Of course,
> all this assumes that students know how to oparte with signed
> numbers.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+34 14 = +20
EASIER TO THINK OF BOMDAS THIS WAY:
BO MD AS
BO MD SA
BO DM AS
BO DM SA
AS LONG AS YOU KNOW THAT "M" & "D" ARE INTERCHANGEABLE AND "A" & "S" LIKEWISE,
BUT "M" OR "D" MUST BE PERFORMED BEFORE "A" OR "S".
IN "MD" IT DOES NOT MATTER WHICH (M OR D) IS DONE FIRST
EX 5x4÷2=? .....20÷2 = 5x2 !
LIKEWISE FOR "AS"
EX 5+42=? .....92 = 5+2
 
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