The document discusses the order of operations, known as PEMDAS or P.E.M.D.A.S. It states that PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction and is the proper order to follow when evaluating mathematical expressions. Following PEMDAS is important to get the correct solution and avoid mistakes. Examples are provided to demonstrate how to use PEMDAS to simplify expressions step-by-step.

1. Order of Operations
(P.E.M.D.A.
S)

2. P.E.M.D.A.S.
• “ ”= Parenthesis “()”
• “ ”= Exponent “22
”
• “ ”= Multiplication “6x8”
• “ ”= Division “9÷3”
• “ ”= Addition “7+5”
• “ ”= Subtraction “10-4”

3. 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 expression.
We need P.E.M.D.A.S because it helps
us solve expressions properly and
always the same way.
Remember: Calculate an
expression in the wrong order
and you will get the wrong
answer.

4. arenthesis “( )”
• Used to group
expressions
• Parenthesis can
also be shown as
brackets.
”[ ] or { }”.
• An example of an
expression with
parenthesis is:
6 (5+3)
• Choose the proper way to
simplify the expression:
• A. 6x5 =30
30 + 3 = 33
• B. 5+3 =8
8 x 6 = 48
Answer:

5. xponents “22
”
• Used to multiply the
same number repeatedly.
• Exponent tells how many
times a base number is
multiplied to itself.
• 5 = 5x5x5 =125
• An example of an
expression using
exponents is:
5 x 2
Choose the proper way to
simplify the expression:
• A. 2 = 4
4x5 = 20
• B. 5 x 2 = 10
10 = 100
Answer:
2
2
2
3

6. ultiplication “x”
• Use the table on the right to
help you.
• Multiplication is just a faster
way to add.
• Choose the proper way to
simplify the expression:
• 2 + 5 x 3
• A. 5 x 3 = 15
15 + 2 = 17
• B. 2 + 5 = 7
7 x 3 = 21
Answer:

7. ivision “÷”
• Division is splitting a
larger number into
smaller parts.
• Remember to check
your division with
multiplication.
• An example of an
expression with
division in it is:
Choose the correct way to simplify
the expression:
12 4 + 2
• A. 4 + 2 = 6
12 6 = 2
• B. 12 4 = 3
3 + 2 = 5
Answer:

8. ddition “+”
• It is tempting to want to
solve addition first in an
expression.
• Remember: only solve
addition first if it is in
parenthesis.
• An example of an
expression with addition
in it is:
Choose the proper way to
simplify the equation
(113 + 19) + 81
A. 113 + 19 = 132
132 + 81 = 213
B. 19 + 81 = 100
100 + 113 = 213
Answer: A or B

9. 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
expression with
subtraction in it is:
74 – (12 - 4)
The proper way to simplify this
expression is:
A. 74 – 12 = 62
62 – 4 = 58
B. 12 – 4 = 8
74 – 8 = 66
Answer:

10. Reviewarenthesis
xponents
ultiplication
ivision
ddition
ubtraction
The Order of
Operations is:
P.E.M.D.A.S.

11. Practice
6x4÷2+3
24÷2+3
12+3
Answer: 15

12. Practice
15÷(6x2-9)
15÷(12-9)
15÷(3)
Answer: 5

13. Practice
(32
+5)÷7
(9+5)÷7
14÷7
Answer: 2

14. Practice
7+(6x52
+3)
7+(6x25+3)
7+(150+3)
7+(153)
Answer: 160

15. Practice
(3x6+2)÷5
(18+2)÷5
20÷5
Answer: 4

16. Tips to Remember:
lease xcuse
y
ear unt
ally
An easy way to remember PEMDAS is: