Give the commutative property of multiplication and illustrate the property with an example. Choose the correct answer below. A. For any element a, 0•a = a•0 = 0. An example of this is 0•9 = 9•0= 0. O B. For any elements a, b, and c, (a•b)•c= a• (b• c). An example of this is (2•5) • 3 = 2• (5• 3). C. For any element a, 1.a = a•1= a. An example of this is 1.9 =9 1=9. O D. For any elements a and b, a•b =b•a. An example of this is 2• 3 = 3• 2. OE. 1 1 =- •a = 1. An example of this is 3• a a 1 1 For any element a, a• •3 = 1. 3
Give the commutative property of multiplication and illustrate the property with an example. Choose the correct answer below. A. For any element a, 0•a = a•0 = 0. An example of this is 0•9 = 9•0= 0. O B. For any elements a, b, and c, (a•b)•c= a• (b• c). An example of this is (2•5) • 3 = 2• (5• 3). C. For any element a, 1.a = a•1= a. An example of this is 1.9 =9 1=9. O D. For any elements a and b, a•b =b•a. An example of this is 2• 3 = 3• 2. OE. 1 1 =- •a = 1. An example of this is 3• a a 1 1 For any element a, a• •3 = 1. 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Give the commutative property of multiplication and illustrate the property with an example.
Choose the correct answer below.
A. For any element a, 0•a = a•0 = 0. An example of this is 0•9 = 9•0= 0.
O B. For any elements a, b, and c, (a• b) •c= a• (b•c). An example of this is (2• 5) • 3 = 2•(5• 3).
C. For any element a, 1.a = a•1=a. An example of this is 1•9 = 9•1=9.
O D. For any elements a and b, a•b =b• a. An example of this is 2• 3 = 3• 2.
OE.
1
1
=- •a = 1. An example of this is 3•
a
a
1 1
For any element a, a•
•3 = 1.
3
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Step 1
The commutative property states that the change in the order of two numbers while adding and multiplying them does not affect the result
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