Order of Operations

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Transcript Order of Operations

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
4+8÷2
Expressions
 6 371 – 203 + 2 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
Order of Operations (Hop Scotch)
Parenthesis
( )
Exponents
Whichever comes
first when you
read left to right
Mulitplication
•
Addition
+
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Subtraction
-
Whichever comes
first when you
read left to right
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
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
Lesson Quiz
23
Evaluate each expression.
1. 15 + 4  2
39
2. (12 – 5)2 – 10
16
3. 3 + 9  2 – 5
49
4. 43 – 30 ÷ 2
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