Transcript Order of Operations

Order of
Operations
(P.E.M.D.A.S)
P.E.M.D.A.S.
•“
•“
•“
•“
•“
•“
”= Parenthesis
”= Exponent
”= Multiplication
”= Division
”= Addition
”= Subtraction
“()”
“22”
“6x8”
“9÷3”
“7+5”
“10-4”
What is P.E.M.D.A.S and why
do we need it?
P.E.M.D.A.S. 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 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.
arenthesis “( )”
• Used to group
equations.
• Parenthesis can
also be shown as
brackets.
”[ ] or { }”.
• An example of an
equation with
parenthesis is:
6 (5+3)
• Choose the proper way to solve
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.
2
“2 ”
5x2
Choose the proper way to
solve the equation:
• A. 2 2 = 4
4x5 = 20
3
• 5 = 5x5x5 =125
• An example of an
equation using exponents
is:
2
• B. 5 x 2 = 10
2
10 = 100
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+5x3
• 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
solve addition first in an
equation.
• Remember: only solve
addition first if it is in
parenthesis.
• 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: A or B
ubtraction ”-”
• 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:
74 – (12 - 4)
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
The Order of
Operations is:
P.E.M.D.A.S.
Practice
6x4÷2+3=?
24÷2+3
12+3
Answer: 15
Practice
15÷(6x2-9)=?
15÷(12-9)
15÷(3)
Answer: 5
Practice
2
(3 +5)÷7=?
(9+5)÷7
14÷7
Answer: 2
Practice
2
7+(6x5 +3)=?
7+(6x25+3)
7+(150+3)
7+(153)
Answer: 160
Practice
(18+2)÷5
20÷5
Answer: 4
(3x6+2)÷5=?
Tips to Remember:
An easy way to remember PEMDAS is:
lease
xcuse
y
ear
unt
ally