Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 1.2, Problem 33PPS
To determine

To find: the additive and multiplicative inverse of the given number.

Expert Solution & Answer
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Answer to Problem 33PPS

The additive and multiplicative inverse of the given number is 613 and 136 respectively.

Explanation of Solution

Given information:

A real number is given as

  613

Concept used:

For any real numbers a,b , and c real numbers properties are tabulated below:

    Property Addition Multiplication
    Commutative a+b=b+aab=ba
    Associative (a+b)+c=a+(b+c)(ab)c=a(bc)
    Identity a+0=0+a=a 0 is identity element for addition a1=1a=a 1 is identity element for Multiplication
    Inverse a+(a)=(a)+a=0

      (a) is inverse element for addition

    a1a=1aa=1

      1a is inverse element for Multiplication

    Closure a+b is real number ab is real number
    Distributive a(b+c)=ab+bc(b+c)a=ba+caa(b+c)=ab+bc(b+c)a=ba+ca

Calculation:

Consider the given number.

  613

Let the additive inverse of the number be a .

  613+a=0613+a613=0613a=613

Hence, the additive inverse of the number is 613 .

Now, let the multiplicative inverse of the number be b .

  613b=1613b613=1613b=136

Hence, the multiplicative inverse of the number is (136) .

Chapter 1 Solutions

Algebra 2

Ch. 1.1 - Prob. 5CYUCh. 1.1 - Prob. 6CYUCh. 1.1 - Prob. 7CYUCh. 1.1 - Prob. 8CYUCh. 1.1 - Prob. 9CYUCh. 1.1 - Prob. 10CYUCh. 1.1 - Prob. 11PPSCh. 1.1 - Prob. 12PPSCh. 1.1 - Prob. 13PPSCh. 1.1 - Prob. 14PPSCh. 1.1 - Prob. 15PPSCh. 1.1 - Prob. 16PPSCh. 1.1 - Prob. 17PPSCh. 1.1 - Prob. 18PPSCh. 1.1 - Prob. 19PPSCh. 1.1 - Prob. 20PPSCh. 1.1 - Prob. 21PPSCh. 1.1 - Prob. 22PPSCh. 1.1 - Prob. 23PPSCh. 1.1 - Prob. 24PPSCh. 1.1 - Prob. 25PPSCh. 1.1 - Prob. 26PPSCh. 1.1 - Prob. 27PPSCh. 1.1 - Prob. 28PPSCh. 1.1 - Prob. 29PPSCh. 1.1 - Prob. 30PPSCh. 1.1 - Prob. 31PPSCh. 1.1 - Prob. 32PPSCh. 1.1 - Prob. 33PPSCh. 1.1 - Prob. 34PPSCh. 1.1 - Prob. 35PPSCh. 1.1 - Prob. 36PPSCh. 1.1 - Prob. 37PPSCh. 1.1 - Prob. 38PPSCh. 1.1 - Prob. 39PPSCh. 1.1 - Prob. 40PPSCh. 1.1 - Prob. 41PPSCh. 1.1 - Prob. 42PPSCh. 1.1 - Prob. 43HPCh. 1.1 - Prob. 44HPCh. 1.1 - Prob. 45HPCh. 1.1 - Prob. 46HPCh. 1.1 - Prob. 47HPCh. 1.1 - Prob. 48HPCh. 1.1 - Prob. 49HPCh. 1.1 - Prob. 50HPCh. 1.1 - Prob. 51HPCh. 1.1 - Prob. 52HPCh. 1.1 - Prob. 53HPCh. 1.1 - Prob. 54STPCh. 1.1 - Prob. 55STPCh. 1.1 - Prob. 56STPCh. 1.1 - Prob. 57STPCh. 1.1 - Prob. 58STPCh. 1.1 - Prob. 59STPCh. 1.1 - Prob. 60SCh. 1.1 - Prob. 61SCh. 1.1 - Prob. 62SCh. 1.1 - Prob. 63SCh. 1.1 - Prob. 64SCh. 1.1 - Prob. 65SCh. 1.1 - Prob. 66SCh. 1.1 - Prob. 67SCh. 1.2 - Prob. 1ACYPCh. 1.2 - Prob. 1BCYPCh. 1.2 - Prob. 1CCYPCh. 1.2 - Prob. 1DCYPCh. 1.2 - Prob. 2CYPCh. 1.2 - Prob. 3ACYPCh. 1.2 - Prob. 3BCYPCh. 1.2 - Prob. 4CYPCh. 1.2 - Prob. 5CYPCh. 1.2 - Prob. 1CYUCh. 1.2 - Prob. 2CYUCh. 1.2 - Prob. 3CYUCh. 1.2 - Prob. 4CYUCh. 1.2 - Prob. 5CYUCh. 1.2 - Prob. 6CYUCh. 1.2 - Prob. 7CYUCh. 1.2 - Prob. 8CYUCh. 1.2 - Prob. 9CYUCh. 1.2 - Prob. 10CYUCh. 1.2 - Prob. 11CYUCh. 1.2 - Prob. 12CYUCh. 1.2 - Prob. 13CYUCh. 1.2 - Prob. 14CYUCh. 1.2 - Prob. 15CYUCh. 1.2 - Prob. 16CYUCh. 1.2 - Prob. 17CYUCh. 1.2 - Prob. 18PPSCh. 1.2 - Prob. 19PPSCh. 1.2 - Prob. 20PPSCh. 1.2 - Prob. 21PPSCh. 1.2 - Prob. 22PPSCh. 1.2 - Prob. 23PPSCh. 1.2 - Prob. 24PPSCh. 1.2 - Prob. 25PPSCh. 1.2 - 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Prob. 73STPCh. 1.3 - Prob. 74STPCh. 1.3 - Prob. 75SCh. 1.3 - Prob. 76SCh. 1.3 - Prob. 77SCh. 1.3 - Prob. 78SCh. 1.3 - Prob. 79SCh. 1.3 - Prob. 80SCh. 1.3 - Prob. 81SCh. 1.3 - Prob. 82SCh. 1.4 - Prob. 1ACYPCh. 1.4 - Prob. 1BCYPCh. 1.4 - Prob. 2ACYPCh. 1.4 - Prob. 2BCYPCh. 1.4 - Prob. 3ACYPCh. 1.4 - Prob. 3BCYPCh. 1.4 - Prob. 4ACYPCh. 1.4 - Prob. 4BCYPCh. 1.4 - Prob. 1CYUCh. 1.4 - Prob. 2CYUCh. 1.4 - Prob. 3CYUCh. 1.4 - Prob. 4CYUCh. 1.4 - Prob. 5CYUCh. 1.4 - Prob. 6CYUCh. 1.4 - Prob. 7CYUCh. 1.4 - Prob. 8CYUCh. 1.4 - Prob. 9CYUCh. 1.4 - Prob. 10CYUCh. 1.4 - Prob. 11CYUCh. 1.4 - Prob. 12CYUCh. 1.4 - Prob. 13CYUCh. 1.4 - Prob. 14PPSCh. 1.4 - Prob. 15PPSCh. 1.4 - Prob. 16PPSCh. 1.4 - Prob. 17PPSCh. 1.4 - Prob. 18PPSCh. 1.4 - Prob. 19PPSCh. 1.4 - Prob. 20PPSCh. 1.4 - Prob. 21PPSCh. 1.4 - Prob. 22PPSCh. 1.4 - Prob. 23PPSCh. 1.4 - Prob. 24PPSCh. 1.4 - Prob. 25PPSCh. 1.4 - Prob. 26PPSCh. 1.4 - Prob. 27PPSCh. 1.4 - Prob. 28PPSCh. 1.4 - Prob. 29PPSCh. 1.4 - Prob. 30PPSCh. 1.4 - Prob. 31PPSCh. 1.4 - 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Prob. 3CCYPCh. 1.5 - Prob. 3DCYPCh. 1.5 - Prob. 4CYPCh. 1.5 - Prob. 1CYUCh. 1.5 - Prob. 2CYUCh. 1.5 - Prob. 3CYUCh. 1.5 - Prob. 4CYUCh. 1.5 - Prob. 5CYUCh. 1.5 - Prob. 6CYUCh. 1.5 - Prob. 7CYUCh. 1.5 - Prob. 8CYUCh. 1.5 - Prob. 9CYUCh. 1.5 - Prob. 10PPSCh. 1.5 - Prob. 11PPSCh. 1.5 - Prob. 12PPSCh. 1.5 - Prob. 13PPSCh. 1.5 - Prob. 14PPSCh. 1.5 - Prob. 15PPSCh. 1.5 - Prob. 16PPSCh. 1.5 - Prob. 17PPSCh. 1.5 - Prob. 18PPSCh. 1.5 - Prob. 19PPSCh. 1.5 - Prob. 20PPSCh. 1.5 - Prob. 21PPSCh. 1.5 - Prob. 22PPSCh. 1.5 - Prob. 23PPSCh. 1.5 - Prob. 24PPSCh. 1.5 - Prob. 25PPSCh. 1.5 - Prob. 26PPSCh. 1.5 - Prob. 27PPSCh. 1.5 - Prob. 28PPSCh. 1.5 - Prob. 29PPSCh. 1.5 - Prob. 30PPSCh. 1.5 - Prob. 31PPSCh. 1.5 - Prob. 32PPSCh. 1.5 - Prob. 33PPSCh. 1.5 - Prob. 34PPSCh. 1.5 - Prob. 35PPSCh. 1.5 - Prob. 36PPSCh. 1.5 - Prob. 37PPSCh. 1.5 - Prob. 38PPSCh. 1.5 - Prob. 39PPSCh. 1.5 - Prob. 40PPSCh. 1.5 - Prob. 41PPSCh. 1.5 - Prob. 42PPSCh. 1.5 - Prob. 43PPSCh. 1.5 - Prob. 44HPCh. 1.5 - Prob. 45HPCh. 1.5 - Prob. 46HPCh. 1.5 - Prob. 47HPCh. 1.5 - Prob. 48HPCh. 1.5 - Prob. 49HPCh. 1.5 - Prob. 50HPCh. 1.5 - Prob. 51HPCh. 1.5 - Prob. 52HPCh. 1.5 - Prob. 53HPCh. 1.5 - Prob. 54STPCh. 1.5 - Prob. 55STPCh. 1.5 - Prob. 56STPCh. 1.5 - Prob. 57STPCh. 1.5 - Prob. 58STPCh. 1.5 - Prob. 59STPCh. 1.5 - Prob. 60STPCh. 1.5 - Prob. 61SCh. 1.5 - Prob. 62SCh. 1.5 - Prob. 63SCh. 1.5 - Prob. 64SCh. 1.5 - Prob. 65SCh. 1.5 - Prob. 66SCh. 1.5 - Prob. 1ECh. 1.5 - Prob. 2ECh. 1.5 - Prob. 3ECh. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - Prob. 6ECh. 1.5 - Prob. 7ECh. 1.5 - Prob. 8ECh. 1.5 - Prob. 9ECh. 1.5 - Prob. 10ECh. 1.5 - Prob. 11ECh. 1.5 - Prob. 12ECh. 1.5 - Prob. 13ECh. 1.5 - Prob. 14ECh. 1.5 - Prob. 15ECh. 1.5 - Prob. 16ECh. 1.5 - Prob. 17ECh. 1.5 - Prob. 18ECh. 1.6 - Prob. 1ACYPCh. 1.6 - Prob. 1BCYPCh. 1.6 - Prob. 2ACYPCh. 1.6 - Prob. 2BCYPCh. 1.6 - Prob. 3ACYPCh. 1.6 - Prob. 3BCYPCh. 1.6 - Prob. 3CCYPCh. 1.6 - Prob. 3DCYPCh. 1.6 - Prob. 4ACYPCh. 1.6 - Prob. 4BCYPCh. 1.6 - Prob. 5CYPCh. 1.6 - Prob. 1CYUCh. 1.6 - Prob. 2CYUCh. 1.6 - Prob. 3CYUCh. 1.6 - Prob. 4CYUCh. 1.6 - Prob. 5CYUCh. 1.6 - Prob. 6CYUCh. 1.6 - Prob. 7CYUCh. 1.6 - Prob. 8CYUCh. 1.6 - Prob. 9CYUCh. 1.6 - Prob. 10CYUCh. 1.6 - Prob. 11CYUCh. 1.6 - Prob. 12PPSCh. 1.6 - Prob. 13PPSCh. 1.6 - Prob. 14PPSCh. 1.6 - Prob. 15PPSCh. 1.6 - Prob. 16PPSCh. 1.6 - Prob. 17PPSCh. 1.6 - Prob. 18PPSCh. 1.6 - Prob. 19PPSCh. 1.6 - Prob. 20PPSCh. 1.6 - Prob. 21PPSCh. 1.6 - Prob. 22PPSCh. 1.6 - Prob. 23PPSCh. 1.6 - Prob. 24PPSCh. 1.6 - Prob. 25PPSCh. 1.6 - Prob. 26PPSCh. 1.6 - Prob. 27PPSCh. 1.6 - Prob. 28PPSCh. 1.6 - Prob. 29PPSCh. 1.6 - Prob. 30PPSCh. 1.6 - Prob. 31PPSCh. 1.6 - Prob. 32PPSCh. 1.6 - Prob. 33PPSCh. 1.6 - Prob. 34PPSCh. 1.6 - Prob. 35PPSCh. 1.6 - Prob. 36PPSCh. 1.6 - Prob. 37PPSCh. 1.6 - Prob. 38PPSCh. 1.6 - Prob. 39PPSCh. 1.6 - Prob. 40PPSCh. 1.6 - Prob. 41PPSCh. 1.6 - Prob. 42PPSCh. 1.6 - Prob. 43PPSCh. 1.6 - Prob. 44PPSCh. 1.6 - Prob. 45PPSCh. 1.6 - Prob. 46PPSCh. 1.6 - Prob. 47PPSCh. 1.6 - Prob. 48PPSCh. 1.6 - Prob. 49PPSCh. 1.6 - Prob. 50PPSCh. 1.6 - Prob. 51PPSCh. 1.6 - Prob. 52PPSCh. 1.6 - Prob. 53HPCh. 1.6 - Prob. 54HPCh. 1.6 - Prob. 55HPCh. 1.6 - Prob. 56HPCh. 1.6 - Prob. 57HPCh. 1.6 - Prob. 58HPCh. 1.6 - Prob. 59HPCh. 1.6 - Prob. 60HPCh. 1.6 - Prob. 61HPCh. 1.6 - Prob. 62HPCh. 1.6 - Prob. 63HPCh. 1.6 - Prob. 64HPCh. 1.6 - Prob. 65HPCh. 1.6 - Prob. 66HPCh. 1.6 - Prob. 67STPCh. 1.6 - Prob. 68STPCh. 1.6 - Prob. 69STPCh. 1.6 - Prob. 70STPCh. 1.6 - Prob. 71STPCh. 1.6 - Prob. 72SCh. 1.6 - Prob. 73SCh. 1.6 - Prob. 74SCh. 1 - Prob. 1QCCh. 1 - Prob. 2QCCh. 1 - Prob. 3QCCh. 1 - Prob. 4QCCh. 1 - Prob. 5QCCh. 1 - Prob. 6QCCh. 1 - Prob. 7QCCh. 1 - Prob. 8QCCh. 1 - Prob. 9QCCh. 1 - Prob. 10QCCh. 1 - Prob. 11QCCh. 1 - Prob. 12QCCh. 1 - Prob. 13QCCh. 1 - Prob. 14QCCh. 1 - Prob. 15QCCh. 1 - Prob. 16QCCh. 1 - Prob. 17QCCh. 1 - Prob. 18QCCh. 1 - Prob. 19QCCh. 1 - Prob. 20QCCh. 1 - Prob. 21QCCh. 1 - Prob. 22QCCh. 1 - Prob. 23QCCh. 1 - Prob. 1MCQCh. 1 - Prob. 2MCQCh. 1 - Prob. 3MCQCh. 1 - Prob. 4MCQCh. 1 - Prob. 5MCQCh. 1 - Prob. 6MCQCh. 1 - Prob. 7MCQCh. 1 - 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