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 36WE

To determine

To explain:

The rational numbers are a field or not.

Expert Solution & Answer

Answer to Problem 36WE

The rational numbers are a field.

Explanation of Solution

Definition of rational numbers:

A rational number is a number that can be expressed as two integers, a numerator p and a non-zero denominator q , as a quotient or fraction pq .

Thus, from the above definition,

The rational numbers are a field under the operations of addition and multiplication, because the rational numbers obey all field properties.

Chapter 1.3, Problem 35WE

Chapter 1.3, Problem 37WE

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 - Prob. 40WE Ch. 1.1 - Prob. 1MRE Ch. 1.1 - Prob. 2MRE Ch. 1.1 - Prob. 3MRE Ch. 1.1 - Prob. 4MRE Ch. 1.1 - Prob. 5MRE Ch. 1.1 - Prob. 6MRE Ch. 1.1 - Prob. 7MRE Ch. 1.1 - Prob. 8MRE Ch. 1.1 - Prob. 9MRE Ch. 1.1 - Prob. 10MRE Ch. 1.1 - Prob. 11MRE Ch. 1.1 - Prob. 12MRE Ch. 1.1 - Prob. 1CE Ch. 1.1 - Prob. 2CE Ch. 1.1 - Prob. 3CE Ch. 1.1 - Prob. 4CE Ch. 1.2 - Prob. 1OE Ch. 1.2 - Prob. 2OE Ch. 1.2 - Prob. 3OE Ch. 1.2 - Prob. 4OE Ch. 1.2 - Prob. 5OE Ch. 1.2 - Prob. 6OE Ch. 1.2 - Prob. 7OE Ch. 1.2 - Prob. 8OE Ch. 1.2 - Prob. 9OE Ch. 1.2 - Prob. 10OE Ch. 1.2 - Prob. 11OE Ch. 1.2 - Prob. 12OE Ch. 1.2 - Prob. 13OE Ch. 1.2 - Prob. 14OE Ch. 1.2 - Prob. 15OE Ch. 1.2 - Prob. 16OE Ch. 1.2 - Prob. 17OE Ch. 1.2 - Prob. 18OE Ch. 1.2 - Prob. 19OE Ch. 1.2 - Prob. 20OE Ch. 1.2 - Prob. 21OE Ch. 1.2 - Prob. 22OE Ch. 1.2 - Prob. 23OE Ch. 1.2 - Prob. 24OE Ch. 1.2 - Prob. 1WE Ch. 1.2 - Prob. 2WE Ch. 1.2 - Prob. 3WE Ch. 1.2 - Prob. 4WE Ch. 1.2 - Prob. 5WE Ch. 1.2 - Prob. 6WE Ch. 1.2 - Prob. 7WE Ch. 1.2 - Prob. 8WE Ch. 1.2 - 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Prob. 3ST Ch. 1.2 - Prob. 4ST Ch. 1.2 - Prob. 5ST Ch. 1.2 - Prob. 6ST Ch. 1.2 - Prob. 7ST Ch. 1.2 - Prob. 8ST Ch. 1.2 - Prob. 9ST Ch. 1.2 - Prob. 10ST Ch. 1.3 - Prob. 1OE Ch. 1.3 - Prob. 2OE Ch. 1.3 - Prob. 3OE Ch. 1.3 - Prob. 4OE Ch. 1.3 - Prob. 5OE Ch. 1.3 - Prob. 6OE Ch. 1.3 - Prob. 7OE Ch. 1.3 - Prob. 8OE Ch. 1.3 - Prob. 9OE Ch. 1.3 - Prob. 10OE Ch. 1.3 - Prob. 11OE Ch. 1.3 - Prob. 12OE Ch. 1.3 - Prob. 13OE Ch. 1.3 - Prob. 14OE Ch. 1.3 - Prob. 15OE Ch. 1.3 - Prob. 16OE Ch. 1.3 - Prob. 17OE Ch. 1.3 - Prob. 18OE Ch. 1.3 - Prob. 19OE Ch. 1.3 - Prob. 20OE Ch. 1.3 - Prob. 21OE Ch. 1.3 - Prob. 22OE Ch. 1.3 - Prob. 23OE Ch. 1.3 - Prob. 24OE Ch. 1.3 - Prob. 1WE Ch. 1.3 - Prob. 2WE Ch. 1.3 - Prob. 3WE Ch. 1.3 - Prob. 4WE Ch. 1.3 - Prob. 5WE Ch. 1.3 - Prob. 6WE Ch. 1.3 - Prob. 7WE Ch. 1.3 - Prob. 8WE Ch. 1.3 - Prob. 9WE Ch. 1.3 - Prob. 10WE Ch. 1.3 - Prob. 11WE Ch. 1.3 - Prob. 12WE Ch. 1.3 - Prob. 13WE Ch. 1.3 - Prob. 14WE Ch. 1.3 - Prob. 15WE Ch. 1.3 - Prob. 16WE Ch. 1.3 - Prob. 17WE Ch. 1.3 - 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Prob. 2CE Ch. 1.5 - Prob. 3CE Ch. 1.5 - Prob. 4CE Ch. 1.6 - Prob. 1OE Ch. 1.6 - Prob. 2OE Ch. 1.6 - Prob. 3OE Ch. 1.6 - Prob. 4OE Ch. 1.6 - Prob. 5OE Ch. 1.6 - Prob. 6OE Ch. 1.6 - Prob. 7OE Ch. 1.6 - Prob. 8OE Ch. 1.6 - Prob. 9OE Ch. 1.6 - Prob. 10OE Ch. 1.6 - Prob. 11OE Ch. 1.6 - Prob. 12OE Ch. 1.6 - Prob. 13OE Ch. 1.6 - Prob. 14OE Ch. 1.6 - Prob. 15OE Ch. 1.6 - Prob. 16OE Ch. 1.6 - Prob. 17OE Ch. 1.6 - Prob. 18OE Ch. 1.6 - Prob. 19OE Ch. 1.6 - Prob. 1WE Ch. 1.6 - Prob. 2WE Ch. 1.6 - Prob. 3WE Ch. 1.6 - Prob. 4WE Ch. 1.6 - Prob. 5WE Ch. 1.6 - Prob. 6WE Ch. 1.6 - Prob. 7WE Ch. 1.6 - Prob. 8WE Ch. 1.6 - Prob. 9WE Ch. 1.6 - Prob. 10WE Ch. 1.6 - Prob. 11WE Ch. 1.6 - Prob. 12WE Ch. 1.6 - Prob. 13WE Ch. 1.6 - Prob. 14WE Ch. 1.6 - Prob. 15WE Ch. 1.6 - Prob. 16WE Ch. 1.6 - Prob. 17WE Ch. 1.6 - Prob. 18WE Ch. 1.6 - Prob. 19WE Ch. 1.6 - Prob. 20WE Ch. 1.6 - Prob. 21WE Ch. 1.6 - Prob. 22WE Ch. 1.6 - Prob. 23WE Ch. 1.6 - Prob. 24WE Ch. 1.6 - Prob. 25WE Ch. 1.6 - Prob. 26WE Ch. 1.6 - Prob. 27WE Ch. 1.6 - 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The rational numbers are a field or not.

Videos

To explain: The rational numbers are a field or not.

Answer to Problem 36WE

Explanation of Solution

Chapter 1 Solutions

Additional Math Textbook Solutions

To explain:

The rational numbers are a field or not.