Order of Operations
(P.E.M.D.A.S)
P.E.M.D.A.S.
• “ ”= Parenthesis “()”• “ ”= Exponent
“22”• “ ”= Multiplication “6x8”• “ ”= Division “9÷3”• “ ”= Addition
“7+5”• “ ”= Subtraction “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 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.
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:
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
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:
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:
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
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:
Review arenthesis xponents
ultiplication ivision ddition ubtraction
The Order of Operations is:
P.E.M.D.A.S.
Practice6x4÷2+3
24÷2+3
12+3
Answer: 15
Practice15÷(6x2-9)
15÷(12-9)15÷(3)
Answer: 5
Practice(32+5)÷7
(9+5)÷7
14÷7
Answer: 2
Practice7+(6x52+3)
7+(6x25+3)7+(150+3)7+(153)
Answer: 160
Practice
(3x6+2)÷5
(18+2)÷5
20÷5
Answer: 4
Tips to Remember:
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An easy way to remember PEMDAS is: