notes 1.6 commutative & associative properties...sol 4.22 algebra commutative & associative...
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![Page 1: Notes 1.6 Commutative & Associative Properties...SOL 4.22 Algebra Commutative & Associative Properties Author: 3255 Created Date: 9/10/2012 12:30:49 PM](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f7dd09eed9d773f3578a020/html5/thumbnails/1.jpg)
Notes 1.6 Commutative &
Associative Properties
![Page 2: Notes 1.6 Commutative & Associative Properties...SOL 4.22 Algebra Commutative & Associative Properties Author: 3255 Created Date: 9/10/2012 12:30:49 PM](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f7dd09eed9d773f3578a020/html5/thumbnails/2.jpg)
1. Commutative Property
The order in which you add or multiply numbers does not change their sum or
product. a + b = b + a Example: 7+2=2+7 ab = ba Example: 3 x 2 = 2 x 3
![Page 3: Notes 1.6 Commutative & Associative Properties...SOL 4.22 Algebra Commutative & Associative Properties Author: 3255 Created Date: 9/10/2012 12:30:49 PM](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f7dd09eed9d773f3578a020/html5/thumbnails/3.jpg)
2. Associative Property
Definition – The way you group three or more numbers when adding or
multiplying does not change their sum or product.
(a + b) + c = a + (b + c) Example: 2+(3+4)=(2+3)+4 (ab)c = a(bc) (5•3)4 = 5(3•4)
![Page 4: Notes 1.6 Commutative & Associative Properties...SOL 4.22 Algebra Commutative & Associative Properties Author: 3255 Created Date: 9/10/2012 12:30:49 PM](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f7dd09eed9d773f3578a020/html5/thumbnails/4.jpg)
Question 1 What property is shown here?
34 + 27 = 27 + 34
A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication
![Page 5: Notes 1.6 Commutative & Associative Properties...SOL 4.22 Algebra Commutative & Associative Properties Author: 3255 Created Date: 9/10/2012 12:30:49 PM](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f7dd09eed9d773f3578a020/html5/thumbnails/5.jpg)
Question 2 What property is shown here?
48 + (73 + 16) = (48 + 73) + 16
A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication
![Page 6: Notes 1.6 Commutative & Associative Properties...SOL 4.22 Algebra Commutative & Associative Properties Author: 3255 Created Date: 9/10/2012 12:30:49 PM](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f7dd09eed9d773f3578a020/html5/thumbnails/6.jpg)
Question 3 What property is shown here?
18 x (22 x 49) = (18 x 22) x 49
A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication
![Page 7: Notes 1.6 Commutative & Associative Properties...SOL 4.22 Algebra Commutative & Associative Properties Author: 3255 Created Date: 9/10/2012 12:30:49 PM](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f7dd09eed9d773f3578a020/html5/thumbnails/7.jpg)
Question 4 What property is shown here?
66 x 37 = 37 x 66
A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication
![Page 8: Notes 1.6 Commutative & Associative Properties...SOL 4.22 Algebra Commutative & Associative Properties Author: 3255 Created Date: 9/10/2012 12:30:49 PM](https://reader034.vdocuments.us/reader034/viewer/2022042622/5f7dd09eed9d773f3578a020/html5/thumbnails/8.jpg)
Question 5 Which shows the Commutative
Property of Addition?
A. 7+2+3=3+7+8 B. 7+(2+3)=(2+2)+7 C. 7+2+3=2+3+7 D. 7+2+3=5+7+2
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Question 6 Which shows the Associative
Property of Multiplication?
A. (6 x 5) x 2 = 6 x (5 x 2) B. 6 x 5 x 2 = 5 x 6 x 2 C. 5 x (6 x 2) = 5 x (6 x 2) D. 5 x 6 x 2 = 6 x 10
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Question 7 Which shows the Commutative
Property of Multiplication?
A. 7 x 8 x 4 = 7 x 16 x 2 B. (7 x 8) x 4 = 7 x (2 x 16) C. 7 x 8 x 4 = 8 x 4 x 7 D. 7 x (8 x 4) = (7 x 8) x 4
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Question 8 Which shows the Associative
Property of Addition?
A. 6 + 9 + 12 = 12 + 6 + 9 B. 6 + (9 + 12) = (6 + 9) + 12 C. 6 + 9 + 12 = 15 + 12 D. 6 + (9 + 12) = (9 + 12) + 6
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Question 9 Which is the best answer for:
62 + (13 + 4) = ______ A. 82 B. 79 C. 74 D. 88
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Question 10 Which is the best answer for:
43 x (2 x 5) = _____ A. 86 B. 345 C. 430 D. 215