Transcript Objectives 4 and 5 Order of operations ©2002 by R. Villar All Rights Reserved.

Objectives 4 and 5
Order of operations
©2002 by R. Villar
All Rights Reserved
Order of Operations
What if you have a problem that has more than
one operation (For example, addition,
multiplication and exponents). Which do you do
first?
Order of Operations gives us an order of which
one to perform 1st, 2nd, 3rd...
Order of Operations: P E M D A S
Please Excuse My Dear Aunt Sally
Here’s the order:
P - parentheses
E - exponents
M -multiplication
D - division
A - addition
S - subtraction
Order of Operations: P E M D A S
Please Excuse My Dear Aunt Sally
Here’s the order:
P - parentheses
E - exponents
M -multiplication Multiplication and Division
go together. Simplify them
D - division
from left to right.
A - addition
S - subtraction
Order of Operations: P E M D A S
Please Excuse My Dear Aunt Sally
Here’s the order:
P - parentheses
E - exponents
M -multiplication
D - division
Addition and Subtraction
A - addition
go together. Simplify them
S - subtraction from left to right.
2
Ex. Simplify 3 • 2 – 9 + (2 + 8)
2
Ex. Simplify 3 • 2 – 9 + (2 + 8)
PEMDAS
2
Ex. Simplify 3 • 2 – 9 + (2 + 8)
PEMDAS
3 • 22 – 9 + 10
2
Ex. Simplify 3 • 2 – 9 + (2 + 8)
PE M DAS
3 • 22 – 9 + 10
3 • 4 – 9 + 10
2
Ex. Simplify 3 • 2 – 9 + (2 + 8)
PEMDAS
3 • 22 – 9 + 10
3 • 4 – 9 + 10
12 – 9 + 10
2
Ex. Simplify 3 • 2 – 9 + (2 + 8)
PEMDAS
3 • 22 – 9 + 10
3 • 4 – 9 + 10
12 – 9 + 10
3 + 10
2
Ex. Simplify 3 • 2 – 9 + (2 + 8)
PEMDAS
3 • 22 – 9 + 10
3 • 4 – 9 + 10
12 – 9 + 10
3 + 10
13
Example: 27 • 3 – 3 • 7
7+3
=
=
=
(27 • 3 – 3 • 7)
(7 + 3)
(81 – 21)
10
60
10
6
The fraction bar is a way of
grouping. Think of the
numerator as having
parentheses around it and
the denominator with
parentheses around it. Then
divide...
Example: 4[21 – (4 + 9)]
=
=
4[21 – (13)]
4[8]
32
Work from the inside out
when there are more than
one set of grouping
symbols...