(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Videos

Question

Chapter 3.8, Problem 11WE

To determine

To prove the given statement.

Expert Solution & Answer

Explanation of Solution

Given:

Statement: If a and b are non-zero real numbers, then 1ab=ba

Consider a fraction ab,

Consider the reciprocal of the fraction ba ,

Multiply both the fraction with the reciprocal.

ab⋅ba=a⋅bb⋅a=1

Therefore,

ab⋅ba=1

Dividing ab on both sides,

ab⋅baab=1abba=1ab

Conclusion:

Therefore, the given statement is proved.

Chapter 3.8, Problem 10WE

Chapter 3.8, Problem 1MRE

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

Ch. 3.1 - Prob. 1OE Ch. 3.1 - Prob. 2OE Ch. 3.1 - Prob. 3OE Ch. 3.1 - Prob. 4OE Ch. 3.1 - Prob. 5OE Ch. 3.1 - Prob. 6OE Ch. 3.1 - Prob. 7OE Ch. 3.1 - Prob. 8OE Ch. 3.1 - Prob. 9OE Ch. 3.1 - Prob. 10OE

Ch. 3.1 - Prob. 11OE Ch. 3.1 - Prob. 12OE Ch. 3.1 - Prob. 13OE Ch. 3.1 - Prob. 14OE Ch. 3.1 - Prob. 15OE Ch. 3.1 - Prob. 16OE Ch. 3.1 - Prob. 17OE Ch. 3.1 - Prob. 18OE Ch. 3.1 - Prob. 19OE Ch. 3.1 - Prob. 20OE Ch. 3.1 - Prob. 21OE Ch. 3.1 - Prob. 1WE Ch. 3.1 - Prob. 2WE Ch. 3.1 - Prob. 3WE Ch. 3.1 - Prob. 4WE Ch. 3.1 - Prob. 5WE Ch. 3.1 - Prob. 6WE Ch. 3.1 - Prob. 7WE Ch. 3.1 - Prob. 8WE Ch. 3.1 - Prob. 9WE Ch. 3.1 - Prob. 10WE Ch. 3.1 - Prob. 11WE Ch. 3.1 - Prob. 12WE Ch. 3.1 - Prob. 13WE Ch. 3.1 - Prob. 14WE Ch. 3.1 - Prob. 15WE Ch. 3.1 - Prob. 16WE Ch. 3.1 - Prob. 17WE Ch. 3.1 - Prob. 18WE Ch. 3.1 - Prob. 19WE Ch. 3.1 - Prob. 20WE Ch. 3.1 - Prob. 21WE Ch. 3.1 - Prob. 22WE Ch. 3.1 - Prob. 23WE Ch. 3.1 - Prob. 24WE Ch. 3.1 - Prob. 25WE Ch. 3.1 - Prob. 26WE Ch. 3.1 - Prob. 27WE Ch. 3.1 - Prob. 28WE Ch. 3.1 - Prob. 29WE Ch. 3.1 - Prob. 30WE Ch. 3.1 - Prob. 31WE Ch. 3.1 - Prob. 32WE Ch. 3.1 - Prob. 33WE Ch. 3.1 - Prob. 34WE Ch. 3.1 - Prob. 35WE Ch. 3.1 - Prob. 36WE Ch. 3.1 - Prob. 37WE Ch. 3.1 - Prob. 38WE Ch. 3.1 - Prob. 39WE Ch. 3.1 - Prob. 40WE Ch. 3.1 - Prob. 41WE Ch. 3.1 - Prob. 42WE Ch. 3.1 - Prob. 43WE Ch. 3.1 - Prob. 44WE Ch. 3.1 - Prob. 45WE Ch. 3.1 - Prob. 46WE Ch. 3.1 - Prob. 47WE Ch. 3.1 - Prob. 48WE Ch. 3.1 - Prob. 49WE Ch. 3.1 - Prob. 50WE Ch. 3.1 - Prob. 51WE Ch. 3.1 - Prob. 52WE Ch. 3.1 - Prob. 53WE Ch. 3.1 - Prob. 54WE Ch. 3.1 - Prob. 55WE Ch. 3.1 - Prob. 56WE Ch. 3.1 - Prob. 57WE Ch. 3.1 - Prob. 58WE Ch. 3.1 - Prob. 59WE Ch. 3.1 - Prob. 60WE Ch. 3.1 - Prob. 1P Ch. 3.1 - Prob. 2P Ch. 3.1 - Prob. 3P Ch. 3.1 - Prob. 4P Ch. 3.1 - Prob. 5P Ch. 3.1 - Prob. 6P Ch. 3.1 - Prob. 7P Ch. 3.1 - Prob. 8P Ch. 3.1 - Prob. 9P Ch. 3.1 - Prob. 10P Ch. 3.1 - Prob. 11P Ch. 3.1 - Prob. 12P Ch. 3.1 - Prob. 13P Ch. 3.1 - Prob. 14P Ch. 3.1 - Prob. 15P Ch. 3.1 - Prob. 16P Ch. 3.1 - Prob. 17P Ch. 3.1 - Prob. 18P Ch. 3.1 - Prob. 19P Ch. 3.1 - Prob. 20P Ch. 3.1 - Prob. 1MRE Ch. 3.1 - Prob. 2MRE Ch. 3.1 - Prob. 3MRE Ch. 3.1 - Prob. 4MRE Ch. 3.1 - Prob. 5MRE Ch. 3.1 - Prob. 6MRE Ch. 3.1 - Prob. 7MRE Ch. 3.1 - Prob. 8MRE Ch. 3.1 - Prob. 9MRE Ch. 3.1 - Prob. 10MRE Ch. 3.1 - Prob. 11MRE Ch. 3.1 - Prob. 12MRE Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.2 - Prob. 1OE Ch. 3.2 - Prob. 2OE Ch. 3.2 - Prob. 3OE Ch. 3.2 - Prob. 4OE Ch. 3.2 - Prob. 5OE Ch. 3.2 - Prob. 6OE Ch. 3.2 - Prob. 7OE Ch. 3.2 - Prob. 8OE Ch. 3.2 - Prob. 9OE Ch. 3.2 - Prob. 10OE Ch. 3.2 - Prob. 11OE Ch. 3.2 - Prob. 12OE Ch. 3.2 - Prob. 13OE Ch. 3.2 - Prob. 14OE Ch. 3.2 - Prob. 15OE Ch. 3.2 - Prob. 16OE Ch. 3.2 - Prob. 17OE Ch. 3.2 - Prob. 18OE Ch. 3.2 - Prob. 1WE Ch. 3.2 - Prob. 2WE Ch. 3.2 - Prob. 3WE Ch. 3.2 - Prob. 4WE Ch. 3.2 - Prob. 5WE Ch. 3.2 - Prob. 6WE Ch. 3.2 - Prob. 7WE Ch. 3.2 - Prob. 8WE Ch. 3.2 - Prob. 9WE Ch. 3.2 - Prob. 10WE Ch. 3.2 - Prob. 11WE Ch. 3.2 - Prob. 12WE Ch. 3.2 - Prob. 13WE Ch. 3.2 - Prob. 14WE Ch. 3.2 - Prob. 15WE Ch. 3.2 - Prob. 16WE Ch. 3.2 - Prob. 17WE Ch. 3.2 - Prob. 18WE Ch. 3.2 - Prob. 19WE Ch. 3.2 - Prob. 20WE Ch. 3.2 - Prob. 21WE Ch. 3.2 - Prob. 22WE Ch. 3.2 - Prob. 23WE Ch. 3.2 - Prob. 24WE Ch. 3.2 - Prob. 25WE Ch. 3.2 - Prob. 26WE Ch. 3.2 - Prob. 27WE Ch. 3.2 - Prob. 28WE Ch. 3.2 - Prob. 29WE Ch. 3.2 - Prob. 30WE Ch. 3.2 - Prob. 31WE Ch. 3.2 - Prob. 32WE Ch. 3.2 - Prob. 33WE Ch. 3.2 - Prob. 34WE Ch. 3.2 - Prob. 35WE Ch. 3.2 - Prob. 36WE Ch. 3.2 - Prob. 37WE Ch. 3.2 - Prob. 38WE Ch. 3.2 - Prob. 39WE Ch. 3.2 - Prob. 40WE Ch. 3.2 - Prob. 41WE Ch. 3.2 - Prob. 42WE Ch. 3.2 - Prob. 43WE Ch. 3.2 - Prob. 44WE Ch. 3.2 - Prob. 45WE Ch. 3.2 - Prob. 46WE Ch. 3.2 - Prob. 47WE Ch. 3.2 - Prob. 48WE Ch. 3.2 - Prob. 49WE Ch. 3.2 - Prob. 50WE Ch. 3.2 - Prob. 51WE Ch. 3.2 - Prob. 52WE Ch. 3.2 - Prob. 1P Ch. 3.2 - Prob. 2P Ch. 3.2 - Prob. 3P Ch. 3.2 - Prob. 4P Ch. 3.2 - Prob. 5P Ch. 3.2 - Prob. 6P Ch. 3.2 - Prob. 7P Ch. 3.2 - Prob. 8P Ch. 3.2 - Prob. 9P Ch. 3.2 - Prob. 10P Ch. 3.2 - Prob. 11P Ch. 3.2 - Prob. 12P Ch. 3.2 - Prob. 13P Ch. 3.2 - Prob. 14P Ch. 3.2 - Prob. 15P Ch. 3.2 - Prob. 16P Ch. 3.2 - Prob. 17P Ch. 3.2 - Prob. 18P Ch. 3.2 - Prob. 19P Ch. 3.2 - Prob. 20P Ch. 3.2 - Prob. 1MRE Ch. 3.2 - Prob. 2MRE Ch. 3.2 - Prob. 3MRE Ch. 3.2 - Prob. 4MRE Ch. 3.2 - Prob. 5MRE Ch. 3.2 - Prob. 6MRE Ch. 3.2 - Prob. 7MRE Ch. 3.2 - Prob. 8MRE Ch. 3.2 - Prob. 9MRE Ch. 3.2 - Prob. 10MRE Ch. 3.2 - Prob. 11MRE Ch. 3.2 - Prob. 12MRE Ch. 3.3 - Prob. 1OE Ch. 3.3 - Prob. 2OE Ch. 3.3 - Prob. 3OE Ch. 3.3 - Prob. 4OE Ch. 3.3 - Prob. 5OE Ch. 3.3 - Prob. 6OE Ch. 3.3 - Prob. 7OE Ch. 3.3 - Prob. 8OE Ch. 3.3 - Prob. 9OE Ch. 3.3 - Prob. 10OE Ch. 3.3 - Prob. 11OE Ch. 3.3 - Prob. 12OE Ch. 3.3 - Prob. 13OE Ch. 3.3 - Prob. 14OE Ch. 3.3 - Prob. 15OE Ch. 3.3 - Prob. 16OE Ch. 3.3 - Prob. 17OE Ch. 3.3 - Prob. 18OE Ch. 3.3 - Prob. 1WE Ch. 3.3 - Prob. 2WE Ch. 3.3 - Prob. 3WE Ch. 3.3 - Prob. 4WE Ch. 3.3 - Prob. 5WE Ch. 3.3 - Prob. 6WE Ch. 3.3 - Prob. 7WE Ch. 3.3 - Prob. 8WE Ch. 3.3 - Prob. 9WE Ch. 3.3 - Prob. 10WE Ch. 3.3 - Prob. 11WE Ch. 3.3 - Prob. 12WE Ch. 3.3 - Prob. 13WE Ch. 3.3 - Prob. 14WE Ch. 3.3 - Prob. 15WE Ch. 3.3 - Prob. 16WE Ch. 3.3 - Prob. 17WE Ch. 3.3 - 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Prob. 6MRE Ch. 3.3 - Prob. 7MRE Ch. 3.3 - Prob. 8MRE Ch. 3.3 - Prob. 9MRE Ch. 3.3 - Prob. 10MRE Ch. 3.3 - Prob. 11MRE Ch. 3.3 - Prob. 12MRE Ch. 3.3 - Prob. 1E Ch. 3.3 - Prob. 2E Ch. 3.3 - Prob. 3E Ch. 3.4 - Prob. 1P Ch. 3.4 - Prob. 2P Ch. 3.4 - Prob. 3P Ch. 3.4 - Prob. 4P Ch. 3.4 - Prob. 5P Ch. 3.4 - Prob. 6P Ch. 3.4 - Prob. 7P Ch. 3.4 - Prob. 8P Ch. 3.4 - Prob. 9P Ch. 3.4 - Prob. 10P Ch. 3.4 - Prob. 11P Ch. 3.4 - Prob. 12P Ch. 3.4 - Prob. 13P Ch. 3.4 - Prob. 14P Ch. 3.4 - Prob. 15P Ch. 3.4 - Prob. 16P Ch. 3.4 - Prob. 17P Ch. 3.4 - Prob. 18P Ch. 3.4 - Prob. 19P Ch. 3.4 - Prob. 20P Ch. 3.4 - Prob. 21P Ch. 3.4 - Prob. 22P Ch. 3.4 - Prob. 23P Ch. 3.4 - Prob. 24P Ch. 3.4 - Prob. 25P Ch. 3.4 - Prob. 26P Ch. 3.4 - Prob. 27P Ch. 3.4 - Prob. 28P Ch. 3.4 - Prob. 29P Ch. 3.4 - Prob. 30P Ch. 3.4 - Prob. 31P Ch. 3.4 - Prob. 32P Ch. 3.4 - Prob. 33P Ch. 3.4 - Prob. 1MRE Ch. 3.4 - Prob. 2MRE Ch. 3.4 - Prob. 3MRE Ch. 3.4 - Prob. 4MRE Ch. 3.4 - Prob. 5MRE Ch. 3.4 - Prob. 6MRE Ch. 3.4 - Prob. 7MRE Ch. 3.4 - Prob. 8MRE Ch. 3.4 - Prob. 9MRE Ch. 3.4 - Prob. 10MRE Ch. 3.4 - Prob. 11MRE Ch. 3.4 - Prob. 12MRE Ch. 3.5 - Prob. 1OE Ch. 3.5 - Prob. 2OE Ch. 3.5 - Prob. 3OE Ch. 3.5 - Prob. 4OE Ch. 3.5 - Prob. 5OE Ch. 3.5 - Prob. 6OE Ch. 3.5 - Prob. 7OE Ch. 3.5 - Prob. 8OE Ch. 3.5 - Prob. 9OE Ch. 3.5 - Prob. 10OE Ch. 3.5 - Prob. 11OE Ch. 3.5 - Prob. 12OE Ch. 3.5 - Prob. 1WE Ch. 3.5 - Prob. 2WE Ch. 3.5 - Prob. 3WE Ch. 3.5 - Prob. 4WE Ch. 3.5 - Prob. 5WE Ch. 3.5 - Prob. 6WE Ch. 3.5 - Prob. 7WE Ch. 3.5 - Prob. 8WE Ch. 3.5 - Prob. 9WE Ch. 3.5 - Prob. 10WE Ch. 3.5 - Prob. 11WE Ch. 3.5 - Prob. 12WE Ch. 3.5 - Prob. 13WE Ch. 3.5 - Prob. 14WE Ch. 3.5 - Prob. 15WE Ch. 3.5 - Prob. 16WE Ch. 3.5 - Prob. 17WE Ch. 3.5 - Prob. 18WE Ch. 3.5 - Prob. 19WE Ch. 3.5 - Prob. 20WE Ch. 3.5 - Prob. 21WE Ch. 3.5 - Prob. 22WE Ch. 3.5 - Prob. 23WE Ch. 3.5 - Prob. 24WE Ch. 3.5 - Prob. 25WE Ch. 3.5 - Prob. 26WE Ch. 3.5 - Prob. 27WE Ch. 3.5 - Prob. 28WE Ch. 3.5 - Prob. 29WE Ch. 3.5 - Prob. 30WE Ch. 3.5 - Prob. 31WE Ch. 3.5 - Prob. 32WE Ch. 3.5 - 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