Transcript 1CH1L4 - VincentPienaar

LESSON 1-4
ORDER OF OPERATIONS
Warm Up
Lesson Presentation
Warm Up
Perform the operations in order from
left to right.
1.
2.
3.
4.
8+4–2
93+1
7–3+5
20 ÷ 4 + 6
10
28
9
11
GOAL
Learn to use the order of operations.
Vocabulary
numerical expressions
evaluate
order of operations
A numerical expression is a mathematical
phrase that includes only numbers and operation
symbols.
Numerical
4+8÷2
Expressions
 6 371 – 203 + 2 5,006  19
When you evaluate a numerical expression, you
find its value.
When an expression has more than one
operation, you must know which operation to do
first. To make sure that everyone gets the same
answer, we use the order of operations.
ORDER OF OPERATIONS
1. Perform operations in parentheses.
2. Find the values of numbers with exponents.
3. Multiply or divide from left to right as
ordered in the problem.
4. Add or subtract from left to right as ordered
in the problem.
Helpful Hint
The first letters of these words
can help you remember the
order of operations.
Please
Parentheses
Excuse
Exponents
My
Multiply
Dear
Divide
Aunt
Add
Sally
Subtract
Additional Example 1A: Using the Order of
Operations
Evaluate each expression.
A. 15 – 10 ÷ 2
15 –
10
5
There are no parentheses or
exponents.
Divide.
Subtract.
Additional Example 1B: Using the Order of
Operations
B. 8 + 14 ÷ 2 + 6 
33
8 + 14 ÷ 2 + 6  27
There are no parentheses.
Find the value of the
number with exponents.
8+
7
+ 6  27
Divide.
8+
7
+
162
Multiply.
+
162
Add.
15
177
Add.
Additional Example 1C: Using the Order of
Operations
C. 3  (4 + 7) + 22
3  11
3  11
+ 22
Perform operations within
parentheses.
+4
Find the value of the
number with exponents.
33
+4
37
Multiply.
Add.
Try This: Example 1A
Evaluate each expression.
A. 12 – 6 ÷ 2
12 –
9
3
There are no parentheses or
exponents.
Divide.
Subtract.
Try This: Example 1B
B. 4 + 14 ÷ 2 + 4  23
4+
5
+48
There are no parentheses.
Find the value of the
number with exponents.
Divide.
4+
5
+
32
Multiply.
+
32
Add.
4 + 10 ÷ 2 + 4  8
9
41
Add.
Try This: Example 1C
C. 2  (3 + 6) + 42
2
9
2
9
18
34
+ 42
Perform operations within
parentheses.
+ 16
Find the value of the
number with exponents.
+ 16
Multiply.
Add.
Additional Example 2: Consumer Application
Mr. Kellett bought 6 used CDs for $4 each and
5 used CDs for $3 each. Evaluate the
following expression to find the amount Mr.
Kellett spent on CDs.
64+53
24
+
15
39
Mr. Kellett spent $39 on CDs.
Try This: Example 2
Ms. Nivia bought 4 new CDs for $8 each and 6
used CDs for $4 each. Evaluate the following
expression to find the amount Ms. Nivia spent
on CDs.
48+64
32 +
24
56
Ms. Nivia spent $56 on CDs.
Lesson Quiz
Evaluate each expression.
1. 15 + 4  2
23
2. (12 – 5)2 – 10
39
3. 3 + 9  2 – 5
16
4. 43 – 30 ÷ 2
49
5. Chaz bought 4 football cards for $2 each and 8
baseball cards for $3 each. Evaluate the
expression to find the amount Chaz spent on
cards: 4  2 + 8  3. $32