Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 0.5, Problem 29E
To determine

To find: The reciprocal of the number 513 .

Expert Solution & Answer
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Answer to Problem 29E

The reciprocal of the number 513 is 316 .

Explanation of Solution

Given information:

The number 513 .

Formula used:

Mixed fractions of the form mpq can be converted into proper fractions as,

  mpq=(m×q)+pq

Reciprocal of any real number (except 0) is obtained when 1 is divided by the number.

  ab=1÷ab=1ba=ba

Here, ba is called the multiplicative inverse of ab .

When a number is multiplied with its reciprocal, then the result is always 1.

  abba=1

Product of two negative integers is always positive.

Calculation:

Consider the expression 513 .

Recall that mixed fractions of the form mpq can be converted into proper fractions as,

  mpq=(m×q)+pq

So, 513 will be converted as,

  513=(5×3)+13=163

Reciprocal of any real number (except 0) is obtained when 1 is divided by the number.

  ab=1÷ab=1ba=ba

Here, ba is called the multiplicative inverse of ab .

So, the reciprocal of 163 is evaluated as,

  163=1÷(163)=1(316)=316

Recall when a number is multiplied with its reciprocal, then the result is always 1.

  abba=1

So, when 163 is multiplied by 316 , the result should be 1.

  163(316)=1

Thus, the reciprocal of the number 163 is 316 .

Chapter 0 Solutions

Algebra 1

Ch. 0.2 - Prob. 5ECh. 0.2 - Prob. 6ECh. 0.2 - Prob. 7ECh. 0.2 - Prob. 8ECh. 0.2 - Prob. 9ECh. 0.2 - Prob. 10ECh. 0.2 - Prob. 11ECh. 0.2 - Prob. 12ECh. 0.2 - Prob. 13ECh. 0.2 - Prob. 14ECh. 0.2 - Prob. 15ECh. 0.2 - Prob. 16ECh. 0.2 - Prob. 17ECh. 0.2 - Prob. 18ECh. 0.2 - Prob. 19ECh. 0.2 - Prob. 20ECh. 0.2 - Prob. 21ECh. 0.2 - Prob. 22ECh. 0.2 - Prob. 23ECh. 0.2 - Prob. 24ECh. 0.2 - Prob. 25ECh. 0.2 - Prob. 26ECh. 0.2 - Prob. 27ECh. 0.2 - Prob. 28ECh. 0.2 - Prob. 29ECh. 0.2 - Prob. 30ECh. 0.2 - Prob. 31ECh. 0.2 - Prob. 32ECh. 0.2 - Prob. 33ECh. 0.2 - Prob. 34ECh. 0.2 - Prob. 35ECh. 0.3 - Prob. 1ECh. 0.3 - Prob. 2ECh. 0.3 - Prob. 3ECh. 0.3 - Prob. 4ECh. 0.3 - Prob. 5ECh. 0.3 - Prob. 6ECh. 0.3 - Prob. 7ECh. 0.3 - Prob. 8ECh. 0.3 - Prob. 9ECh. 0.3 - Prob. 10ECh. 0.3 - Prob. 11ECh. 0.3 - Prob. 12ECh. 0.3 - Prob. 13ECh. 0.3 - Prob. 14ECh. 0.3 - Prob. 15ECh. 0.3 - Prob. 16ECh. 0.3 - Prob. 17ECh. 0.3 - Prob. 18ECh. 0.3 - Prob. 19ECh. 0.3 - Prob. 20ECh. 0.3 - Prob. 21ECh. 0.3 - Prob. 22ECh. 0.3 - 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