Transcript hc1 order off operations ppt_ch01_04

1-4
1-4 Order
OrderofofOperations
Operations
Warm Up
Problem of the Day
Lesson Presentation
Course
Course
11
1-4 Order of Operations
Warm Up
Perform the operations in order from
left to right.
1.
2.
3.
4.
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8+4–2
93+1
7–3+5
20 ÷ 4 + 6
10
28
9
11
1-4 Order of Operations
Problem of the Day
0123456789=1
Put the appropriate plus or minus signs
between the numbers so that the total
equals 1.
0 + 1 – 23 + 45 + 67 – 89 = 1
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1-4 Order of Operations
Learn to use the order of operations.
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1-4 Order of Operations
Vocabulary
numerical expressions
evaluate
order of operations
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1-4 Order of Operations
A numerical expression is a mathematical
phrase that includes only numbers and operation
symbols.
Numerical
Expressions
4+8÷2
371 – 203 + 2
6
5,006  19
When you evaluate a numerical expression, you
find its value.
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1-4 Order of Operations
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.
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1-4 Order of Operations
Helpful Hint
The first letters of these words
can help you remember the
order of operations.
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Please
Parentheses
Excuse
Exponents
My
Multiply
Dear
Divide
Aunt
Add
Sally
Subtract
1-4 Order of Operations
Additional Example 1A: Using the Order of
Operations
Evaluate the expression.
15 – 10 ÷ 2
15 – 10 ÷ 2
There are no parentheses or
exponents.
15 –
Divide.
5
10
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Subtract.
1-4 Order of Operations
Additional Example 1B: Using the Order of
Operations
Evaluate the expression.
9 + (21 ÷ 7)  5
9 + (21 ÷ 7)  5
9+
9+
24
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3
5
15
Perform operations within
parentheses.
Multiply.
Add.
1-4 Order of Operations
Check It Out: Example 1A
Evaluate the expression.
12 – 6 ÷ 2
12 – 6 ÷ 2
There are no parentheses or
exponents.
12 –
Divide.
9
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3
Subtract.
1-4 Order of Operations
Check It Out: Example 1B
Evaluate the expression.
7 + (24 ÷ 6)  3
7 + (24 ÷ 6)  3
7+43
Perform operations within
parentheses.
7 + 12
Multiply.
19
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Add.
1-4 Order of Operations
Additional Example 2A: Using the Order of
Operations with Exponents
Evaluate the expression.
24 + 6  4
2 +64
There are no parentheses.
16 + 6  4
Find the value of the number
with the exponent.
16 + 24
Multiply.
4
40
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Add.
1-4 Order of Operations
Additional Example 2B: Using the Order of
Operations with Exponents
Evaluate the expression.
24 ÷ (9 – 6)  32 – 10
24 ÷ (9 – 6)  32 – 10
Perform operations within
24 ÷ 3  32 – 10
parentheses.
Find the value of the
24 ÷ 3  9 – 10
number with the exponent.
8  9 – 10
Divide.
72 – 10
62
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Multiply.
Subtract.
1-4 Order of Operations
Check It Out: Example 2A
Evaluate the expression.
42 + 3  7
42 + 3  7
There are no parentheses.
16 + 3  7
Find the value of the number
with the exponent.
16 + 21
Multiply.
37
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Add.
1-4 Order of Operations
Check It Out: Example 2B
Evaluate the expression.
32 ÷ (8 – 4)  22 – 12
32 ÷ (8 – 4)  22 – 12
32 ÷ 4 
22
– 12
32 ÷ 4  4 – 12
8
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 4 – 12
Perform operations within
parentheses.
Find the value of the
number with the exponent.
Divide.
32 – 12
Multiply.
20
Subtract.
1-4 Order of Operations
Additional Example 3: 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.
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1-4 Order of Operations
Check It Out: Example 3
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.
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1-4 Order of Operations
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
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