OBJECTIVES
• The students will perform
the order of operations
on integers by following
GEMDAS rule.
24- GAME
• 3, 8, 10, 4
• 1,1,5,6
• 2,2,6,11
• 1,2,2,4
• 2,3,4,8
VOCABULARY
• order of operations
*operation
• Expression
• grouping symbols
• Brackets
*Braces
*parenthesis
• Exponents
*simplify
Order of
Operations
(G.E.M.D.A.S)
G.E.M.D.A.S.
•“
•“
•“
•“
•“
•“
”= Grouping Symbols ( ), [ ]
”= Exponent
“22”
”= Multiplication “6x8”
”= Division
“9÷3”
”= Addition
“7+5”
”= Subtraction
“10-4”
What is G.E.M.D.A.S and why
do we need it?
G.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.
STEPS
• 1st: Do what is inside of grouping
symbol ( ) or [ ].
• 2nd: Simplify Exponents.
• 3rd: Multiply or divide from left to
right.
• 4th: Add or subtract from left to
right.
GROUPING SYMBOLS
“( )” , ”[ ] or { }”
• Used to group
equations.
6[100 - (5+3)]
• Parenthesis ( ) 6[100 - (8)]
Brackets [ ] or 6 [92]
Braces{ }
Answer:
552
xponents
• Used to multiply the
same number
repeatedly.
5x2
• 53 = 5x5x5 =125
2
Choose the proper way to
solve the equation:
2
• Exponent tells how
many times a base
number is multiplied
to itself.
2
“2 ”
2 =4
4x5 = 20
ultiplication “x”
• Multiplication is just a
faster way to add.
• Choose the proper way to
solve the equation:
•2+5x3
5 x 3 = 15
15 + 2 = 17
Answer: 17
ivision “÷”
• Division is
splitting a larger
number into
smaller parts.
• Remember to
check your
division with
multiplication.
12
4+2
12 4 = 3
3+2=5
Answer: 5
ddition “+”
• It is tempting to want
to solve addition first
in an equation.
(113 + 19) + 81
• Remember: only
solve addition first if
it is in parenthesis.
113 + 19 = 132
132 + 81 = 213
=?
ubtraction ”-”
• Subtraction is
when you take
away an equal
or smaller
amount from a
number.
• You can check
your subtraction
with addition.
74 – (12 - 4)
12 – 4 = 8
74 – 8 = 66
Answer: 66
Review
rouping symbols
xponents
ultiplication
ivision
ddition
ubtraction
The Order of
Operations is:
G.E.M.D.A.S.
Practice
6(4÷2)+3=?
6÷2+3
3+3
Answer:
Practice
2
7+(6x5 +3)=?
7+(6x25+3)
7+(150+3)
7+(153)
Answer:
Practice
2
15÷(6x2-9) =?
2
(12-9)
• 45 ÷
2
• 45 ÷ (3)
• 45 ÷ 9
Answer:
Practice
2
-40-(3 +5)÷7=?
Answer:
Practice
3
(3x6+2) ÷5=?
Answer:
Tips to Remember:
An easy way to remember PEMDAS is:
ranny
xcuse
y
ear
unt
ally
Evaluate the following:
1. 18 + 36 – 32 =
2. 289 – (3 x 5)2 =
3. 45 + 81(-5+4) ÷ (4 -7)2 =
4. 100- (36-6)
-12+ (-3) =
5. 8 + (-2 x -5) x 54 ÷ 5 =