LESSON
Order of Operations
1-5
Lesson Objectives
Use the order of operations to simplify numerical expressions
Vocabulary
numerical expression (p. 23)
order of operations (p. 23)
Additional Examples
Example 1
Simplify each expression.
A. 3 15 5
3 15 5
Divide.
3
Add.
B. 44 14 2
46
44 14 2
46
and
from left
to right.
44 46
44 6
and
from left to right.
6
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
11
Holt Mathematics
LESSON
Order of Operations
1-5
Lesson Objectives
Use the order of operations to simplify numerical expressions
Vocabulary
numerical expression (p. 23) An expression made up of numbers and
operations.
order of operations (p. 23) A rule for evaluating expressions: first perform the
operations within grouping symbols, then evaluate powers, then multiply and
divide from left to right, and then add and subtract from left to right.
Additional Examples
Example 1
Simplify each expression.
A. 3 15 5
3 15 5
Divide.
3 3
Add.
6
B. 44 14 2
46
44 14 2
46
Divide
and multiply
from left
to right.
44 7
46
44 28
6
16
Subtract
and add
from left to right.
6
22
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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Holt Mathematics
LESSON 1-5 CONTINUED
Example 2
Simplify each expression.
4) 6
42 (3 4) 6
A. 42 (3
42 Perform the operation inside the
.
6
42 5) 6]2
[(26 4 5) 6]2
B. [(26 4
[(26 ) 6]2
The parentheses are inside the brackets, so
perform the operations inside the
first.
[
]2
2
Example 3
Sandy runs 4 miles per day. She ran 5 days during the first week of the
month. She ran only 3 days each week for the next 3 weeks. Simplify the
expression (5 3 3) 4 to find how many miles she ran last month.
(5 3
3) 4
Perform the operations inside the
first.
(5 )
4
Add.
4
Sandy ran
Multiply.
miles last month.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
12
Holt Mathematics
LESSON 1-5 CONTINUED
Example 2
Simplify each expression.
4) 6
42 (3 4) 6
A. 42 (3
42 12
6
Perform the operation inside the
parentheses
.
42 2
40
5) 6]2
[(26 4 5) 6]2
B. [(26 4
[(26 20
[ 6
) 6]2
The parentheses are inside the brackets, so
perform the operations inside the
parentheses
first.
6 ]2
2
12
144
Example 3
Sandy runs 4 miles per day. She ran 5 days during the first week of the
month. She ran only 3 days each week for the next 3 weeks. Simplify the
expression (5 3 3) 4 to find how many miles she ran last month.
(5 3
3) 4
Perform the operations inside the
parenthesis
(5 9 )
14
4
first.
Add.
4
Multiply.
56
Sandy ran 56
miles last month.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
12
Holt Mathematics