Transcript Order Of Operations

Warm Up
Pick a set of four numbers given and make the number
24 from the four numbers. You can add, subtract,
multiply and divide. Use all four numbers on the card,
but use each number only once. You do not have to
use all four operations.
• 3, 8, 10, 4
• 1,1,5,6
• 1,2,2,4
• 2,3,4,8
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/expression.
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)2]
6
[100
–
(8)2]
• Parenthesis ( )
Brackets [ ] or 6 [100 – 16]
Braces{ }
6 [ 84 ]
Answer: 504
xponents
• Used to multiply the
same number
repeatedly.
• Exponent tells how
many times a base
number is multiplied
by itself.
• 53 = 5x5x5 =125
2
“2 ”
Do multiplication
and division 3rd,
from left to right.
ultiplication “x”
ivision “÷”
Do addition and
subtraction 4th,
from left to right.
ddition “+”
ubtraction “–”
Practice
6(4÷2)+3
Answer:
Practice
7+(2[2x52 ]-3)
Answer:
Practice
2
18÷(6x2-9)
Answer:
Practice
2
40-(3 +5)÷7
Answer:
Practice
3
(3x2-1) ÷5
Answer:
Practice
75 - (36-6)
23 - 3
=
Answer:
Tips to Remember:
An easy way to remember GEMDAS is:
ranny
xcuse
y
ear
unt
ally
Evaluate the following:
18 + 36 – 32 =
289 – (3 x 5)2 =
45 + 81[(5+4) ÷ (7 - 4)2 ]=
100 - (36-6)
12+ 3
=
5. 8 + (2 x 5) x 54 ÷ 5 =
1.
2.
3.
4.