Transcript Order of Operations

Order of Operations
A standard way to
simplify
mathematical
expressions and
equations.
What is the purpose?
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To avoid Confusion
Give Consistency
For example, does
8 + 3 x 4 = 11 x 4 = 44?
Or does it equal
8 + 3 x 4 = 8 + 12 = 20?
Order of operations are a set of
rules that mathematicians have
agreed to follow to avoid mass
CONFUSION, when simplifying
mathematical expressions or
equations.
Without these simple, but important
rules, learning mathematics would
be maddening.
The Rules
1.
Simplify within Grouping
Symbols
( ), { }, [ ], | |
2.
Simplify Indices
Raise to Powers
3.
4.
Complete Multiplication and
Division from Left to Right
Complete Addition and
Subtraction from Left to Right
Back to Our Example
For example:
8 + 3 x 4 = 11 x 4 = 44
Or does it equal
8 + 3 x 4 = 8 + 12 = 20
20
Using order of operations, we do the
multiplication first. So what’s our
answer?
How can we remember it?
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Brackets
Indices (Order)
Division
Multiplication
Addition
Subtraction
-
B
I (O)
D
M
A
S