Transcript 1.3

Order of Operations
Section 1.3
1.3 Order of Operations
What you should learn
GOAL
1
Use the order of operations to evaluate
algebraic expressions.
Why you should learn it
To solve real-life problems, such as calculating the
cost of admission for a family to a state fair.
1.3 Order of Operations
GOAL
1
USING THE ORDER OF OPERATIONS
WHAT IS THE ORDER OF OPERATIONS?
It’s the method we use to evaluate an expression
involving more than one operation:
1. Parenthesis (innermost first, work to the outermost)
2. Powers
3. Multiplication and division left to right
4. Addition and subtraction left to right
Example 1
Evaluate the expression when x = 3.
1. 4 x 2  8
2. 27  x 2  3
4(3)2  8
27  32  3
4(9)  8
27  9  3
33
36  8
28
6
What happens when operations that have the same priority
appear in the same expression, such as 5 – 4 +1?
5–4+1
1+1
5–4+1
Which is
correct?
2
5–5
0
Perform the operations from
left to right!
EXAMPLE 2
Example 2
Example 3
Example 4
Simplify the expression.
Hint: The fraction bar
serves as a grouping
symbol. Simplify the
numerator and
denominator
separately before the
final step.
Click to see each step.
24  3
5  32  2
24  3
592
72
592
72
14  2
Simplify the power.
Simplify the numerator.
Work from left to right.
72
12
Subtract.
6
Simplify.
Checkpoint
1. Evaluate the expression when x = 5.
b. 100 ÷ x2 + 6
10
a. 2x2 + 8
58
2. Simplify the expression.
a. 25 + 10 – 8
27
b. 24 ÷ 2 • 3
36
3. Simplify the expression.
16  2  8
10  22  4
4
Homework
• Worksheet 1.3 B
#’s 1-24 evens
SHOW YOUR WORK!! 
Can use a calculator to CHECK your
answers but you MUST show your
work for each step!