Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 2.6, Problem 24WE
To determine

To convince : That why 0 has no reciprocal.

Expert Solution & Answer
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Answer to Problem 24WE

The explanation is shown below.

Explanation of Solution

Given information :

Use the zero-product property to give a convincing argument why 0 has no reciprocal.

Calculation :

Since, zero- product property states that if the product of two factors is zero, than one or both of them are zero.

Also, the product of any number and its multiplicative inverse is always equal to 1.

So, if 0 has a reciprocal of 10 , then its product will violate both these rules as 0×10 is neither equal to 0 nor 1 .

Hence,

It is concluded that the reciprocal of 0 does not exist.

Chapter 2 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 2.1 - Prob. 11OECh. 2.1 - Prob. 12OECh. 2.1 - Prob. 13OECh. 2.1 - Prob. 14OECh. 2.1 - Prob. 15OECh. 2.1 - Prob. 16OECh. 2.1 - Prob. 17OECh. 2.1 - Prob. 1WECh. 2.1 - Prob. 2WECh. 2.1 - Prob. 3WECh. 2.1 - Prob. 4WECh. 2.1 - Prob. 5WECh. 2.1 - Prob. 6WECh. 2.1 - Prob. 7WECh. 2.1 - Prob. 8WECh. 2.1 - Prob. 9WECh. 2.1 - Prob. 10WECh. 2.1 - Prob. 11WECh. 2.1 - Prob. 12WECh. 2.1 - Prob. 13WECh. 2.1 - Prob. 14WECh. 2.1 - Prob. 15WECh. 2.1 - Prob. 16WECh. 2.1 - Prob. 17WECh. 2.1 - Prob. 18WECh. 2.1 - Prob. 19WECh. 2.1 - Prob. 20WECh. 2.1 - Prob. 21WECh. 2.1 - Prob. 22WECh. 2.1 - Prob. 23WECh. 2.1 - Prob. 24WECh. 2.1 - Prob. 25WECh. 2.1 - Prob. 26WECh. 2.1 - Prob. 27WECh. 2.1 - Prob. 28WECh. 2.1 - Prob. 29WECh. 2.1 - Prob. 30WECh. 2.1 - Prob. 31WECh. 2.1 - Prob. 32WECh. 2.1 - Prob. 33WECh. 2.1 - Prob. 1MRECh. 2.1 - Prob. 2MRECh. 2.1 - Prob. 3MRECh. 2.1 - Prob. 4MRECh. 2.1 - Prob. 5MRECh. 2.1 - Prob. 6MRECh. 2.1 - Prob. 7MRECh. 2.1 - Prob. 8MRECh. 2.1 - Prob. 9MRECh. 2.1 - Prob. 10MRECh. 2.1 - Prob. 11MRECh. 2.1 - Prob. 12MRECh. 2.1 - Prob. 1CECh. 2.1 - Prob. 2CECh. 2.1 - Prob. 3CECh. 2.1 - Prob. 4CECh. 2.2 - Prob. 1OECh. 2.2 - Prob. 2OECh. 2.2 - Prob. 3OECh. 2.2 - Prob. 4OECh. 2.2 - Prob. 5OECh. 2.2 - Prob. 6OECh. 2.2 - Prob. 7OECh. 2.2 - Prob. 8OECh. 2.2 - Prob. 9OECh. 2.2 - Prob. 10OECh. 2.2 - Prob. 11OECh. 2.2 - Prob. 12OECh. 2.2 - Prob. 13OECh. 2.2 - Prob. 14OECh. 2.2 - Prob. 1WECh. 2.2 - Prob. 2WECh. 2.2 - Prob. 3WECh. 2.2 - Prob. 4WECh. 2.2 - Prob. 5WECh. 2.2 - Prob. 6WECh. 2.2 - Prob. 7WECh. 2.2 - Prob. 8WECh. 2.2 - Prob. 9WECh. 2.2 - Prob. 10WECh. 2.2 - Prob. 11WECh. 2.2 - Prob. 12WECh. 2.2 - Prob. 13WECh. 2.2 - Prob. 14WECh. 2.2 - Prob. 15WECh. 2.2 - Prob. 16WECh. 2.2 - Prob. 17WECh. 2.2 - Prob. 18WECh. 2.2 - Prob. 19WECh. 2.2 - Prob. 20WECh. 2.2 - Prob. 21WECh. 2.2 - Prob. 22WECh. 2.2 - Prob. 23WECh. 2.2 - Prob. 24WECh. 2.2 - Prob. 25WECh. 2.2 - Prob. 26WECh. 2.2 - Prob. 27WECh. 2.2 - Prob. 28WECh. 2.2 - Prob. 29WECh. 2.2 - Prob. 30WECh. 2.2 - Prob. 31WECh. 2.2 - Prob. 32WECh. 2.2 - Prob. 33WECh. 2.2 - Prob. 34WECh. 2.2 - Prob. 35WECh. 2.2 - Prob. 36WECh. 2.3 - Prob. 1OECh. 2.3 - Prob. 2OECh. 2.3 - Prob. 3OECh. 2.3 - Prob. 4OECh. 2.3 - Prob. 5OECh. 2.3 - Prob. 6OECh. 2.3 - Prob. 7OECh. 2.3 - Prob. 8OECh. 2.3 - Prob. 9OECh. 2.3 - Prob. 10OECh. 2.3 - Prob. 11OECh. 2.3 - Prob. 12OECh. 2.3 - Prob. 13OECh. 2.3 - Prob. 14OECh. 2.3 - Prob. 15OECh. 2.3 - Prob. 16OECh. 2.3 - Prob. 1MRECh. 2.3 - Prob. 2MRECh. 2.3 - Prob. 3MRECh. 2.3 - Prob. 4MRECh. 2.3 - Prob. 5MRECh. 2.3 - Prob. 6MRECh. 2.3 - Prob. 7MRECh. 2.3 - Prob. 8MRECh. 2.3 - Prob. 9MRECh. 2.3 - Prob. 10MRECh. 2.3 - Prob. 1STCh. 2.3 - Prob. 2STCh. 2.3 - Prob. 3STCh. 2.3 - Prob. 4STCh. 2.3 - Prob. 5STCh. 2.3 - Prob. 6STCh. 2.3 - Prob. 7STCh. 2.4 - Prob. 1OECh. 2.4 - Prob. 2OECh. 2.4 - Prob. 3OECh. 2.4 - Prob. 4OECh. 2.4 - Prob. 5OECh. 2.4 - Prob. 6OECh. 2.4 - Prob. 7OECh. 2.4 - Prob. 8OECh. 2.4 - Prob. 9OECh. 2.4 - Prob. 10OECh. 2.4 - Prob. 11OECh. 2.4 - Prob. 1WECh. 2.4 - Prob. 2WECh. 2.4 - Prob. 3WECh. 2.4 - Prob. 4WECh. 2.4 - Prob. 5WECh. 2.4 - Prob. 6WECh. 2.4 - Prob. 7WECh. 2.4 - Prob. 8WECh. 2.4 - Prob. 9WECh. 2.4 - Prob. 10WECh. 2.4 - Prob. 11WECh. 2.4 - Prob. 12WECh. 2.4 - Prob. 13WECh. 2.4 - Prob. 14WECh. 2.4 - Prob. 15WECh. 2.4 - Prob. 16WECh. 2.4 - Prob. 17WECh. 2.4 - Prob. 18WECh. 2.4 - Prob. 19WECh. 2.4 - Prob. 20WECh. 2.4 - Prob. 21WECh. 2.4 - Prob. 22WECh. 2.4 - Prob. 23WECh. 2.4 - Prob. 24WECh. 2.4 - Prob. 25WECh. 2.4 - Prob. 26WECh. 2.4 - Prob. 27WECh. 2.4 - Prob. 28WECh. 2.4 - Prob. 29WECh. 2.4 - Prob. 30WECh. 2.4 - Prob. 31WECh. 2.4 - Prob. 32WECh. 2.4 - Prob. 33WECh. 2.4 - Prob. 34WECh. 2.4 - Prob. 1CECh. 2.4 - Prob. 2CECh. 2.5 - Prob. 1OECh. 2.5 - Prob. 2OECh. 2.5 - Prob. 3OECh. 2.5 - Prob. 4OECh. 2.5 - Prob. 5OECh. 2.5 - Prob. 6OECh. 2.5 - Prob. 7OECh. 2.5 - Prob. 8OECh. 2.5 - Prob. 9OECh. 2.5 - Prob. 10OECh. 2.5 - Prob. 11OECh. 2.5 - Prob. 12OECh. 2.5 - Prob. 13OECh. 2.5 - Prob. 14OECh. 2.5 - Prob. 15OECh. 2.5 - Prob. 16OECh. 2.5 - Prob. 17OECh. 2.5 - Prob. 18OECh. 2.5 - Prob. 19OECh. 2.5 - Prob. 20OECh. 2.5 - Prob. 21OECh. 2.5 - Prob. 22OECh. 2.5 - Prob. 23OECh. 2.5 - Prob. 24OECh. 2.5 - Prob. 1WECh. 2.5 - Prob. 2WECh. 2.5 - Prob. 3WECh. 2.5 - Prob. 4WECh. 2.5 - Prob. 5WECh. 2.5 - Prob. 6WECh. 2.5 - Prob. 7WECh. 2.5 - Prob. 8WECh. 2.5 - Prob. 9WECh. 2.5 - Prob. 10WECh. 2.5 - Prob. 11WECh. 2.5 - Prob. 12WECh. 2.5 - Prob. 13WECh. 2.5 - Prob. 14WECh. 2.5 - Prob. 15WECh. 2.5 - Prob. 16WECh. 2.5 - Prob. 17WECh. 2.5 - Prob. 18WECh. 2.5 - Prob. 19WECh. 2.5 - Prob. 20WECh. 2.5 - Prob. 21WECh. 2.5 - Prob. 22WECh. 2.5 - Prob. 23WECh. 2.5 - Prob. 24WECh. 2.5 - Prob. 25WECh. 2.5 - Prob. 26WECh. 2.5 - Prob. 27WECh. 2.5 - Prob. 28WECh. 2.5 - Prob. 29WECh. 2.5 - Prob. 30WECh. 2.5 - Prob. 31WECh. 2.5 - Prob. 32WECh. 2.5 - Prob. 33WECh. 2.5 - Prob. 1MRECh. 2.5 - Prob. 2MRECh. 2.5 - Prob. 3MRECh. 2.5 - Prob. 4MRECh. 2.5 - Prob. 5MRECh. 2.5 - Prob. 6MRECh. 2.5 - Prob. 7MRECh. 2.5 - Prob. 8MRECh. 2.5 - Prob. 9MRECh. 2.5 - Prob. 1STCh. 2.5 - Prob. 2STCh. 2.5 - Prob. 3STCh. 2.5 - Prob. 4STCh. 2.5 - Prob. 5STCh. 2.5 - Prob. 6STCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.6 - Prob. 1OECh. 2.6 - Prob. 2OECh. 2.6 - Prob. 3OECh. 2.6 - Prob. 4OECh. 2.6 - Prob. 5OECh. 2.6 - Prob. 6OECh. 2.6 - Prob. 7OECh. 2.6 - Prob. 8OECh. 2.6 - Prob. 1WECh. 2.6 - Prob. 2WECh. 2.6 - Prob. 3WECh. 2.6 - Prob. 4WECh. 2.6 - Prob. 5WECh. 2.6 - Prob. 6WECh. 2.6 - Prob. 7WECh. 2.6 - Prob. 8WECh. 2.6 - Prob. 9WECh. 2.6 - Prob. 10WECh. 2.6 - Prob. 11WECh. 2.6 - Prob. 12WECh. 2.6 - Prob. 13WECh. 2.6 - Prob. 14WECh. 2.6 - Prob. 15WECh. 2.6 - Prob. 16WECh. 2.6 - Prob. 17WECh. 2.6 - Prob. 18WECh. 2.6 - Prob. 19WECh. 2.6 - Prob. 20WECh. 2.6 - Prob. 21WECh. 2.6 - Prob. 22WECh. 2.6 - Prob. 23WECh. 2.6 - Prob. 24WECh. 2.6 - Prob. 25WECh. 2.7 - Prob. 1OECh. 2.7 - Prob. 2OECh. 2.7 - Prob. 3OECh. 2.7 - Prob. 1WECh. 2.7 - Prob. 2WECh. 2.7 - Prob. 3WECh. 2.7 - Prob. 4WECh. 2.7 - Prob. 5WECh. 2.7 - Prob. 6WECh. 2.7 - Prob. 7WECh. 2.7 - Prob. 8WECh. 2.7 - Prob. 9WECh. 2.7 - Prob. 10WECh. 2.7 - Prob. 11WECh. 2.7 - Prob. 12WECh. 2.7 - Prob. 13WECh. 2.7 - Prob. 14WECh. 2.7 - Prob. 15WECh. 2.7 - Prob. 16WECh. 2.7 - Prob. 17WECh. 2.7 - Prob. 18WECh. 2.7 - Prob. 1MRECh. 2.7 - Prob. 2MRECh. 2.7 - Prob. 3MRECh. 2.7 - Prob. 4MRECh. 2.7 - Prob. 5MRECh. 2.7 - Prob. 6MRECh. 2.7 - Prob. 7MRECh. 2.7 - Prob. 8MRECh. 2.7 - Prob. 9MRECh. 2.7 - Prob. 1STCh. 2.7 - Prob. 2STCh. 2.7 - Prob. 3STCh. 2 - Prob. 1CRCh. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - Prob. 4CRCh. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 10CTCh. 2 - Prob. 11CTCh. 2 - Prob. 12CTCh. 2 - Prob. 13CTCh. 2 - Prob. 14CTCh. 2 - Prob. 15CTCh. 2 - Prob. 16CTCh. 2 - Prob. 1ECh. 2 - Prob. 2ECh. 2 - Prob. 3ECh. 2 - Prob. 4ECh. 2 - Prob. 5ECh. 2 - Prob. 6ECh. 2 - Prob. 7ECh. 2 - Prob. 8ECh. 2 - Prob. 9ECh. 2 - Prob. 10ECh. 2 - Prob. 11ECh. 2 - Prob. 12ECh. 2 - Prob. 13ECh. 2 - Prob. 14ECh. 2 - Prob. 15ECh. 2 - Prob. 16ECh. 2 - Prob. 17ECh. 2 - Prob. 18ECh. 2 - Prob. 1MPSCh. 2 - Prob. 2MPSCh. 2 - Prob. 3MPSCh. 2 - Prob. 4MPSCh. 2 - Prob. 5MPSCh. 2 - Prob. 6MPSCh. 2 - Prob. 7MPSCh. 2 - Prob. 8MPSCh. 2 - Prob. 9MPSCh. 2 - Prob. 10MPSCh. 2 - Prob. 11MPSCh. 2 - Prob. 12MPSCh. 2 - Prob. 13MPSCh. 2 - Prob. 14MPS
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