Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 1.3, Problem 37WE

To determine

To explain:

The negative rational set is a field or not.

Expert Solution & Answer

Answer to Problem 37WE

The negative rational number set is not a field.

Explanation of Solution

Definition of identity property of the addition:

The identity property of the addition is that if the number n is added to zero, the result is the number itself i.e. n .

Thus, from the property of identity that for any real number a , such that a+0=a .

−1+0=−1

The number 0 is not a negative rational number. We know that to satisfy the property of identity a negative rational number is to be added with 0 . The number 0 is not a negative rational number.

Therefore, negative rational number set is not a field.

Chapter 1.3, Problem 36WE

Chapter 1.3, Problem 1MRE

Chapter 1 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 1.1 - Prob. 1OE Ch. 1.1 - Prob. 2OE Ch. 1.1 - Prob. 3OE Ch. 1.1 - Prob. 4OE Ch. 1.1 - Prob. 5OE Ch. 1.1 - Prob. 6OE Ch. 1.1 - Prob. 7OE Ch. 1.1 - Prob. 8OE Ch. 1.1 - Prob. 9OE Ch. 1.1 - Prob. 10OE

Ch. 1.1 - Prob. 11OE Ch. 1.1 - Prob. 12OE Ch. 1.1 - Prob. 13OE Ch. 1.1 - Prob. 14OE Ch. 1.1 - Prob. 15OE Ch. 1.1 - Prob. 16OE Ch. 1.1 - Prob. 17OE Ch. 1.1 - Prob. 18OE Ch. 1.1 - Prob. 19OE Ch. 1.1 - Prob. 1WE Ch. 1.1 - Prob. 2WE Ch. 1.1 - Prob. 3WE Ch. 1.1 - Prob. 4WE Ch. 1.1 - Prob. 5WE Ch. 1.1 - Prob. 6WE Ch. 1.1 - Prob. 7WE Ch. 1.1 - Prob. 8WE Ch. 1.1 - Prob. 9WE Ch. 1.1 - Prob. 10WE Ch. 1.1 - Prob. 11WE Ch. 1.1 - Prob. 12WE Ch. 1.1 - Prob. 13WE Ch. 1.1 - Prob. 14WE Ch. 1.1 - Prob. 15WE Ch. 1.1 - Prob. 16WE Ch. 1.1 - Prob. 17WE Ch. 1.1 - Prob. 18WE Ch. 1.1 - Prob. 19WE Ch. 1.1 - Prob. 20WE Ch. 1.1 - Prob. 21WE Ch. 1.1 - Prob. 22WE Ch. 1.1 - Prob. 23WE Ch. 1.1 - Prob. 24WE Ch. 1.1 - Prob. 25WE Ch. 1.1 - Prob. 26WE Ch. 1.1 - Prob. 27WE Ch. 1.1 - Prob. 28WE Ch. 1.1 - Prob. 29WE Ch. 1.1 - Prob. 30WE Ch. 1.1 - Prob. 31WE Ch. 1.1 - Prob. 32WE Ch. 1.1 - Prob. 33WE Ch. 1.1 - Prob. 34WE Ch. 1.1 - Prob. 35WE Ch. 1.1 - Prob. 36WE Ch. 1.1 - Prob. 37WE Ch. 1.1 - Prob. 38WE Ch. 1.1 - Prob. 39WE Ch. 1.1 - 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The negative rational set is a field or not.

Videos

To explain: The negative rational set is a field or not.

Answer to Problem 37WE

Explanation of Solution

Chapter 1 Solutions

Additional Math Textbook Solutions

To explain:

The negative rational set is a field or not.