PEMDAS - Mrs. Wendtmrswendt.weebly.com/uploads/8/7/1/9/8719318/9.3.pdf · PEMDAS 9/12/01 8:12 AM...

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9.3.notebook 1 January 04, 2017 Jan 142:56 PM Module 9 lesson 3: Order of Operations Objective: Write and evaluate expressions involving whole number exponents 9/12/01 8:06 AM Animal Cost Anteater 500 Spider Monkey 50 Hippo 100 Owl 50 Tapir 100 Fishing Cat 50 How much would it cost to adopt 1 hippo, 4 fishing cats, and 3 tapirs? 9/12/01 8:09 AM When more than one operation is used, we need to know which one to perform first so that everyone gets the same results. 9/12/01 8:10 AM 1. Do all operations within grouping symbols ( ) 2. Evaluate all powers before other operation 3. Multiply and divide in order from left to right 4. Add and Subtract from left to right Order of operations: PEMDAS 9/12/01 8:12 AM Find the value of each expression (15 + 7) 3 3 + 6 x (4 2) 9/12/01 8:11 AM 83 2+7

Transcript of PEMDAS - Mrs. Wendtmrswendt.weebly.com/uploads/8/7/1/9/8719318/9.3.pdf · PEMDAS 9/12/01 8:12 AM...

Page 1: PEMDAS - Mrs. Wendtmrswendt.weebly.com/uploads/8/7/1/9/8719318/9.3.pdf · PEMDAS 9/12/01 8:12 AM Find the value of each expression (15 + 7) 3 3 + 6 x (4 2) 9/12/01 8:11 AM 8 3 2 +

9.3.notebook

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January 04, 2017

Jan 14­2:56 PM

Module 9 lesson 3:

Order of Operations

Objective:  Write and evaluate expressions involving whole number exponents

9/12/01  8:06 AM

Animal CostAnteater 500Spider Monkey 50Hippo 100Owl 50Tapir 100Fishing Cat 50

How much would it cost to adopt 1 hippo, 4 fishing cats, and 3 tapirs?

9/12/01  8:09 AM

When more than one operation is used, we need to know which one to perform first so that everyone gets the same results.

9/12/01  8:10 AM

1.  Do all operations within grouping symbols (  )2.  Evaluate all powers before other operation3.  Multiply and divide in order from left to right4.  Add and Subtract from left to right

Order of operations:

PEMDAS

9/12/01  8:12 AM

Find the value of each expression

(15 + 7) ­ 3 3 + 6 x (4 ­ 2)

9/12/01  8:11 AM

8 ­ 3  2 + 7

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9/12/01  8:11 AM

14  7 + 12 x 3 ­ 9

9/12/01  8:14 AM

14 + 3(7­2)­ 2  5

Sep 12 ­ 8:38 AM

24     3 + 5 3

Sep 12 ­ 8:39 AM

7 + (8 ­ 7 + 2)2

Sep 12 ­ 8:40 AM

(2 + 10)      4 2

Jan 14­3:03 PM

12 + [(16 ­ 4) + (12 ­ 9)]

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January 04, 2017

Jan 15­7:19 AM

5 x [(26 ­ 4) ­ (4 +6)]

Jan 15­7:20 AM

4 + [(16­4) + (12 ­ 9)]

Jan 15­7:20 AM Jan 15­7:21 AM

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Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Additional Example 1                                                          

Simplify each expression.                                                                     

1/7

A 30 – 3 × 23                                                                                               

B 128 ÷ (4 × 2)2                                                                                                                                   

2

2/7

Simplify each expression.                                      

C 32

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Additional Example 1                                                          

_______         (7 – 5)3

40 –     

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A 128 ÷ (4 × 2)2                                                                                                                                                                 

B

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Additional Example 2                                                          

82 – (5 + 3)2                                                                                                                                                                                                   

Additional Example 2                                                          Simplify each expression using the order of operations.                           

4

4/7

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

C

Additional Example 2                                                          

Additional Example 2                                                          Simplify each expression using the order of operations.                           

(1 + 3)2_______                 2

15 –                             

5

Lesson Quiz

5/7

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Simplify each expression using the order of operations.                                      

1. 3 + (7 – 5)2 × 6                                                                                                                                         

2. 25_______        (4 + 4)

× 2         

6

6/7

Lesson Quiz

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Simplify each expression using the order of operations.                                      

3. 8 – 6 ÷ 2 + 3 × 5                                                                                                                                                                                                                 

4. 7 × 3 – 15 ÷ 5

7

7/7

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Lesson Quiz

Simplify each expression using the order of operations.                                      

5. 8 + 2(1 + 12 ÷ 2)2                                                                                                                                                                                                                                                                                       

a1

1/7

6

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Simplify each expression.                                                                     

30 – 3 × 23                                                                                               

128 ÷ (4 × 2)2                                                                                                                                   

Additional Example 1                                                          

A

B

2

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a2

2/7

36                    

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Simplify each expression.                                      

C 32

Additional Example 1                                                          

_______         (7 – 5)3

40 –     

a3

3/7

0                                            

2      

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Simplify each expression using the order of operations.                           

A 128 ÷ (4 × 2)2                                                                                                                                                                 

B

Additional Example 2                                                          

82 – (5 + 3)2                                                                                                                                                                                                   

a4

4/7

7                                                                                                                          

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

C

Simplify each expression using the order of operations.                           

Additional Example 2                                                          

(1 + 3)2_______                 2

15 –                             

a5

5/7

27

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Lesson Quiz

Simplify each expression using the order of operations.                                      

1. 3 + (7 – 5)2 × 6                                                                                                                                         

2. 25_______       (4 + 4)

× 2             

8

a6

6/7

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

Lesson Quiz

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Simplify each expression using the order of operations.                                      

3. 8 – 6 ÷ 2 + 3 × 5                                                                                                                                                                                                                 

4. 7 × 3 – 15 ÷ 5

18

a7

7/7

Lesson Quiz

Order of Operations                                                                                                                                                                                                                                                                                                                                                                                      

57

Simplify each expression using the order of operations.                                      

5. 8 + 2(1 + 12 ÷ 2)2