Order of
Operations
(P.E.M.D.A.S F.L.T.R.)
 When you see the symbol on the bottom of the slide,
copy the slide in your notebooks!!!
P.E.M.D.A.S.
“
“
“
“
“
”= Parenthesis
”= Exponent
”= Multiplication
“()”
“22”
“6x8”
”= Division
“9÷3”
”= Addition
“7+5”
 “ ”= Subtraction
“10-4”
 FLTR- Multiply, Divide, Add,
Subtract from Left to Right
What is P.E.M.D.A.S.F.L.T.R and
why do we need it?
P.E.M.D.A.S.F.L.T.R is also know as
the Order of Operations.
Order of Operations is the order in
which you perform mathematical
operations to solve an equation.
We need P.E.M.D.A.S.F.L.T.R
because it helps us solve equations
properly and always the same way.
Remember: Calculate an equation
in the wrong order and you will
get the wrong answer.
What is P.E.M.D.A.S.F.L.T.R and
why do we need it?
Although, we are very familiar with Please,
Excuse, My, Dear, Aunt, Sally,
We sometimes forget that you multiply and
divide from left to right and you add and
subtract from left to right.
What does this mean? I always solve the
expressions inside the grouping symbols
and evaluated the powers first, but if all that
I have is multiplication and division or
addition and subtraction. I solve my
problem from left to right.
Example: 11 – 8 + 2
3+2=5
arenthesis “( )”
 Used to group
equations.
6 (5+3)
 Choose the proper way to solve
 Parenthesis can
also be shown as
brackets.
”[ ] or { }”.
 An example of an
equation with
parenthesis is:
the equation:
 A. 6x5 =30
30 + 3 = 33
 B. 5+3 =8
8 x 6 = 48
Answer:
xponents
 Used to multiply the same
number repeatedly.
 Exponent tells how many
times a base number is
multiplied to itself.
5
3=
5x5x5 =125
 An example of an
equation using exponents
is:
2
“2 ”
5x2
2
Choose the proper way to
solve the equation:
 A. 2 2= 4
4x5 = 20
 B. 5 x 2 = 10
10 = 100
2
Answer:
ultiplication “x”
 Use the table on the right to
help you.
 Multiplication is just a faster
way to add.
 Choose the proper way to solve
the equation:
2 + 5 x 3
 A. 5 x 3 = 15
15 + 2 = 17
 B. 2 + 5 = 7
7 x 3 = 21
Answer:
ivision “÷”
Choose the correct way to solve
the equation:
 Division is splitting a
larger number into
smaller parts.
 Remember to check
your division with
multiplication.
 An example of an
equation with division
in it is:
12
4+2
 A. 4 + 2 = 6
12
6=2
 B. 12
4=3
3+2=5
Answer:
ddition “+”
 It is tempting to want to
always solve addition first
in an equation.
 Remember: Solve
addition first if it is in
parenthesis or when
solving from left to right
 An example of an
equation with addition in
it is:
Choose the proper way to
solve the equation
(113 + 19) + 81 =?
A. 113 + 19 = 132
132 + 81 = 213
B. 19 + 81 = 100
100 + 113 = 213
Answer:
ubtraction
74 – (12”-”
- 4)
 Subtraction is when
you take away an
equal or smaller
amount from a
number.
 You can check your
subtraction with
addition.
 An example of an
equation with
subtraction in it is:
The proper way to solve this
equation is:
A. 74 – 12 = 62
62 – 4 = 58
B. 12 – 4 = 8
74 – 8 = 66
Answer:
Review
arenthesis
xponents
ultiplication
ivision
ddition
ubtraction
FLTR
The Order of
Operations is:
P.E.M.D.A.S.F.L.T.R
Practice
6x4÷2+3=?
24÷2+3
12+3
Answer:
Practice
15÷(6x2-9)=?
15÷(12-9)
15÷(3)
Answer:
Practice
2
(3 +5)÷7=?
(9+5)÷7
14÷7
Answer:
Practice
2
7+(6x5 +3)=?
7+(6x25+3)
7+(150+3)
7+(153)
Answer:
Practice
24 – 8 x 2 + 9 =?
24 – 16 + 9
8+9
Don’t forget FLTR
Answer:
What is P.E.M.D.A.S.F.L.T.R and
why do we need it?
Although, we are very familiar with Please,
Excuse, My, Dear, Aunt, Sally,
We sometimes forget that you multiply and
divide from left to right and you add and
subtract from left to right.
What does this mean? I always solve the
expressions inside the grouping symbols
and evaluated the powers first, but if all that
I have is multiplication and division or
addition and subtraction. I solve my
problem from left to right.
Example: 24 – 16 + 9
8 + 9 = 17
Independent Practice
Study Island
6th Grade
Math
Select: Order of Operations in TEST MODE, keep
working in test mode until the time is up!!!!!