Transcript Ray Olsen KO Knudson MS Las Vegas, Nv.

Rules for arithmetic and algebra expressions that
describe what sequence to follow to evaluate an
expression involving more than one operation.
Step 1: First perform operations that are within grouping symbols
such as parenthesis (), brackets [], and braces {}, and as indicated
by fraction bars.Parenthesis within parenthesis are called nested
parenthesis (( )).
Step 2: Evaluate Powers (exponents) or roots.
Step 3: Perform multiplication or division operations in order by
reading the problem from left to right.
Step 4: Perform addition or subtraction operations in order by
Performing operations left to
right only
21  6  3  5
21 6  3  5
27  3  5
27  3  5
95
 45
The rules for
order of
operations exist
so that everyone
can perform the
same consistent
operations and
achieve the same
results. Method 2
is the correct
method.
Performing operations using
order of operations
21  6  3  5
21 6  3  5
21  2  5
21 2  5
21  10
 31
Can you imagine
what it would be like
if calculations were
performed differently
by various financial
institutions or what if
doctors prescribed
different doses of
medicine using the
same formulas and
achieving different
results?
54  6  18  2
54  6  18 2
Follow the left to right rule: First solve any
multiplication or division parts left to right. Then
solve any addition or subtraction parts left to right.
Divide
9  18  2
Multiply
A good habit to develop while learning order of operations is to
underline the parts of the expression that you want to solve first.
Then rewrite the expression in order from left to right and solve
the underlined part(s).
9  36
 45
Add
The order of operations must be followed
each time you rewrite the expression.
25 6
2
25 6
2
Follow the left to right rule: First solve
exponent/(powers). Second solve multiplication or
division parts left to right. Then solve any addition or
subtraction parts left to right.
Exponents (powers)
2  25  6
Multiply
50  6
A good habit to develop while learning order of operations is to
underline the parts of the expression that you want to solve first.
Then rewrite the expression in order from left to right and solve
the underlined part(s).
Subtract
 44
The order of operations must be followed
each time you rewrite the expression.
3  42  8  2 Grouping
3  4  8  2
symbols
2
Follow the left to right rule: First solve parts inside
grouping symbols according to the order of operations.
Solve any exponent/(Powers). Then solve multiplication
or division parts left to right. Then solve any addition or
subtraction parts left to right.
Subtract
3  4  6
2
3 16  6
48 6
8
Exponents (powers)
Multiply
Divide
A good habit to develop while learning
order of operations is to underline the parts
of the expression that you want to solve
first. Then rewrite the expression in order
from left to right and solve the underlined
part(s).
The order of operations must be followed
each time you rewrite the expression.
A good habit to develop while learning order of operations is to underline the
parts of the expression that you want to solve first. Then rewrite the expression
in order from left to right and solve the underlined part(s).
3  42
2  (18  4)
3 4
2  (18  4)
2
3  42
Work above the
fraction bar
Work below the
fraction bar
Follow the left to right rule: Follow the order
of operations by working to solve the
problem above the fraction bar. Then follow
the order of operations by working to solve
the problem below the fraction bar. Finally,
recall that fractions are also division
problems – simplify the fraction.
Exponents (powers)
3  16
48
2  (18  4)
Multiply
Grouping symbols
2  (18  4)
2  (14)
Subtract
Add
Simplify:
Divide
The order of operations must be
followed each time you rewrite the
expression.
48
16
48  16
3
A good habit to develop while learning order of operations is to underline the
parts of the expression that you want to solve first. Then rewrite the expression
in order from left to right and solve the underlined part(s).
Evaluate when x=2, y=3, and n=4
( x  y  5)  n  6
3
2
Substitute in the values
for the variables
Grouping symbols
Follow the left to right rule: First
solve parts inside grouping
symbols according to the order of
operations. Solve any
exponent/(Powers). Then solve
multiplication or division parts left
to right. Then solve any addition or
subtraction parts left to right.
( x  y 3  5)  n2  6
Exponents (powers)
33 = (3)(3)(3) = 27
The order of operations must be followed
each time you rewrite the expression.
Add: 2 + 27
(2  33  5)  42  6
(2  27  5)  42  6
Subtract 29 - 5
(29  5)  42  6
Exponents (powers)
62 = (6)(6) = 36
24  4 2  6
Subtract 24 - 16
24  16  6
Add
86
 14