| 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 |
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> 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(6-8)+3^2-8+5
the student writes 5*4 +3(6-8) +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 10-3(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+4-2=? .....9-2 = 5+2
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