Give the commutative property of multiplication and illustrate the property with an example.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7
Give the commutative property of multiplication and illustrate the property with an example.
Choose the correct answer below.
O A. For any element a, 1•a= a•1 = a. An example of this is 1.9 =9•1= 9.
O B. For any elements a and b, a•b=b•a. An example of this is 2.3 = 3•2.
OC. For any element a, 0•a= a•0= 0. An example of this is 0•9 =9•0= 0.
D. For any elements a, b, and c, (a • b) • c = a• (b• c). An example of this is (2•5) • 3 = 2• (5• 3).
O E.
1
1 1
For any element a, a.-=-•a = 1. An example of this is 3.=5
3
3
1
•3 = 1.
a
a
Transcribed Image Text:Give the commutative property of multiplication and illustrate the property with an example. Choose the correct answer below. O A. For any element a, 1•a= a•1 = a. An example of this is 1.9 =9•1= 9. O B. For any elements a and b, a•b=b•a. An example of this is 2.3 = 3•2. OC. For any element a, 0•a= a•0= 0. An example of this is 0•9 =9•0= 0. D. For any elements a, b, and c, (a • b) • c = a• (b• c). An example of this is (2•5) • 3 = 2• (5• 3). O E. 1 1 1 For any element a, a.-=-•a = 1. An example of this is 3.=5 3 3 1 •3 = 1. a a
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