Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 0.2, Problem 2E
To determine

To find: The set or sets of numbers to which real number 83 belong.

Expert Solution & Answer
Check Mark

Answer to Problem 2E

The real number 83 is a rational number.

Explanation of Solution

Given information:

The real number 83 .

Formula used:

Real numbers are categorized as follows:

Natural number are the positive numbers (integer) which start from 1.

Whole number are positive numbers which start from 0.

Integers are numbers which is not a fraction (whole number).

Rational numbers are number which are in the form of pq where p and q are integers, q0 .

Irrational numbers are those number which cannot be expressed in the form of pq where q0 .

Calculation:

Consider the providedreal number 83 .

Recall that real numbers are categorized as follows:

Natural number are the positive numbers (integer) which start from 1.

Therefore, it is not a natural number.

Whole number are positive numbers which start from 0.

Therefore, it is not a whole number.

Integers are numbers which is not a fraction (whole number).

Thereforeit is not an integer.

Rational numbers are number which are in the form of pq where p and q are integers, q0 .

Therefore, it is a rational number.

Irrational numbers are those number which cannot be expressed in the form of pq where q0 .

Therefore, it is not an irrational number.

Thus, the real number 83 is a rational number.

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 - Prob. 23ECh. 0.4 - Prob. 1ECh. 0.4 - Prob. 2ECh. 0.4 - Prob. 3ECh. 0.4 - Prob. 4ECh. 0.4 - Prob. 5ECh. 0.4 - Prob. 6ECh. 0.4 - Prob. 7ECh. 0.4 - Prob. 8ECh. 0.4 - Prob. 9ECh. 0.4 - Prob. 10ECh. 0.4 - Prob. 11ECh. 0.4 - Prob. 12ECh. 0.4 - Prob. 13ECh. 0.4 - Prob. 14ECh. 0.4 - Prob. 15ECh. 0.4 - Prob. 16ECh. 0.4 - Prob. 17ECh. 0.4 - Prob. 18ECh. 0.4 - Prob. 19ECh. 0.4 - Prob. 20ECh. 0.4 - Prob. 21ECh. 0.4 - Prob. 22ECh. 0.4 - Prob. 23ECh. 0.4 - Prob. 24ECh. 0.4 - Prob. 25ECh. 0.4 - Prob. 26ECh. 0.4 - Prob. 27ECh. 0.4 - Prob. 28ECh. 0.4 - Prob. 29ECh. 0.4 - Prob. 30ECh. 0.4 - Prob. 31ECh. 0.4 - Prob. 32ECh. 0.4 - Prob. 33ECh. 0.4 - Prob. 34ECh. 0.4 - Prob. 35ECh. 0.4 - Prob. 36ECh. 0.4 - Prob. 37ECh. 0.4 - Prob. 38ECh. 0.4 - Prob. 39ECh. 0.4 - Prob. 40ECh. 0.4 - Prob. 41ECh. 0.5 - Prob. 1ECh. 0.5 - Prob. 2ECh. 0.5 - Prob. 3ECh. 0.5 - Prob. 4ECh. 0.5 - Prob. 5ECh. 0.5 - Prob. 6ECh. 0.5 - Prob. 7ECh. 0.5 - Prob. 8ECh. 0.5 - Prob. 9ECh. 0.5 - Prob. 10ECh. 0.5 - Prob. 11ECh. 0.5 - Prob. 12ECh. 0.5 - Prob. 13ECh. 0.5 - Prob. 14ECh. 0.5 - Prob. 15ECh. 0.5 - Prob. 16ECh. 0.5 - Prob. 17ECh. 0.5 - Prob. 18ECh. 0.5 - Prob. 19ECh. 0.5 - Prob. 20ECh. 0.5 - Prob. 21ECh. 0.5 - Prob. 22ECh. 0.5 - Prob. 23ECh. 0.5 - Prob. 24ECh. 0.5 - Prob. 25ECh. 0.5 - Prob. 26ECh. 0.5 - Prob. 27ECh. 0.5 - Prob. 28ECh. 0.5 - Prob. 29ECh. 0.5 - Prob. 30ECh. 0.5 - Prob. 31ECh. 0.5 - Prob. 32ECh. 0.5 - Prob. 33ECh. 0.5 - Prob. 34ECh. 0.5 - Prob. 35ECh. 0.5 - Prob. 36ECh. 0.5 - Prob. 37ECh. 0.5 - Prob. 38ECh. 0.5 - Prob. 39ECh. 0.5 - Prob. 40ECh. 0.5 - Prob. 41ECh. 0.5 - Prob. 42ECh. 0.5 - Prob. 43ECh. 0.5 - Prob. 44ECh. 0.5 - Prob. 45ECh. 0.5 - Prob. 46ECh. 0.5 - Prob. 47ECh. 0.6 - Prob. 1ECh. 0.6 - Prob. 2ECh. 0.6 - Prob. 3ECh. 0.6 - Prob. 4ECh. 0.6 - Prob. 5ECh. 0.6 - Prob. 6ECh. 0.6 - Prob. 7ECh. 0.6 - Prob. 8ECh. 0.6 - Prob. 9ECh. 0.6 - Prob. 10ECh. 0.6 - Prob. 11ECh. 0.6 - Prob. 12ECh. 0.6 - Prob. 13ECh. 0.6 - Prob. 14ECh. 0.6 - Prob. 15ECh. 0.6 - Prob. 16ECh. 0.6 - Prob. 17ECh. 0.6 - Prob. 18ECh. 0.6 - Prob. 19ECh. 0.6 - Prob. 20ECh. 0.6 - Prob. 21ECh. 0.6 - Prob. 22ECh. 0.6 - Prob. 23ECh. 0.6 - Prob. 24ECh. 0.6 - Prob. 25ECh. 0.6 - Prob. 26ECh. 0.6 - Prob. 27ECh. 0.6 - Prob. 28ECh. 0.6 - Prob. 29ECh. 0.6 - Prob. 30ECh. 0.6 - Prob. 31ECh. 0.7 - Prob. 1ECh. 0.7 - Prob. 2ECh. 0.7 - Prob. 3ECh. 0.7 - Prob. 4ECh. 0.7 - Prob. 5ECh. 0.7 - Prob. 6ECh. 0.7 - Prob. 7ECh. 0.7 - Prob. 8ECh. 0.7 - Prob. 9ECh. 0.7 - Prob. 10ECh. 0.7 - Prob. 11ECh. 0.7 - Prob. 12ECh. 0.7 - Prob. 13ECh. 0.7 - Prob. 14ECh. 0.7 - Prob. 15ECh. 0.7 - Prob. 16ECh. 0.7 - Prob. 17ECh. 0.7 - Prob. 18ECh. 0.7 - Prob. 19ECh. 0.7 - Prob. 20ECh. 0.8 - Prob. 1ECh. 0.8 - Prob. 2ECh. 0.8 - Prob. 3ECh. 0.8 - Prob. 4ECh. 0.8 - Prob. 5ECh. 0.8 - Prob. 6ECh. 0.8 - Prob. 7ECh. 0.8 - Prob. 8ECh. 0.8 - Prob. 9ECh. 0.8 - Prob. 10ECh. 0.8 - Prob. 11ECh. 0.8 - Prob. 12ECh. 0.8 - Prob. 13ECh. 0.8 - Prob. 14ECh. 0.8 - Prob. 15ECh. 0.8 - Prob. 16ECh. 0.8 - Prob. 17ECh. 0.8 - Prob. 18ECh. 0.8 - Prob. 19ECh. 0.8 - Prob. 20ECh. 0.8 - Prob. 21ECh. 0.8 - Prob. 22ECh. 0.8 - Prob. 23ECh. 0.9 - Prob. 1ECh. 0.9 - Prob. 2ECh. 0.9 - Prob. 3ECh. 0.9 - Prob. 4ECh. 0.9 - Prob. 5ECh. 0.9 - Prob. 6ECh. 0.9 - Prob. 7ECh. 0.9 - Prob. 8ECh. 0.9 - Prob. 9ECh. 0.9 - Prob. 10ECh. 0.9 - Prob. 11ECh. 0.9 - Prob. 12ECh. 0.9 - Prob. 13ECh. 0.9 - Prob. 14ECh. 0.9 - Prob. 15ECh. 0.9 - Prob. 16ECh. 0.9 - Prob. 17ECh. 0.9 - Prob. 18ECh. 0.9 - Prob. 19ECh. 0.10 - Prob. 1ECh. 0.10 - Prob. 2ECh. 0.10 - Prob. 3ECh. 0.10 - Prob. 4ECh. 0.10 - Prob. 5ECh. 0.10 - Prob. 6ECh. 0.10 - Prob. 7ECh. 0.10 - Prob. 8ECh. 0.10 - Prob. 9ECh. 0.10 - Prob. 10ECh. 0.10 - Prob. 11ECh. 0.10 - Prob. 12ECh. 0.10 - Prob. 13ECh. 0.10 - Prob. 14ECh. 0.10 - Prob. 15ECh. 0.10 - Prob. 16ECh. 0.10 - Prob. 17ECh. 0.10 - Prob. 18ECh. 0.11 - Prob. 1ECh. 0.11 - Prob. 2ECh. 0.11 - Prob. 3ECh. 0.11 - Prob. 4ECh. 0.11 - Prob. 5ECh. 0.11 - Prob. 6ECh. 0.11 - Prob. 7ECh. 0.11 - Prob. 8ECh. 0.11 - Prob. 9ECh. 0.11 - Prob. 10ECh. 0.11 - Prob. 11ECh. 0.11 - Prob. 12ECh. 0.11 - Prob. 13ECh. 0.11 - Prob. 14ECh. 0.11 - Prob. 15ECh. 0.11 - Prob. 16ECh. 0.11 - Prob. 17ECh. 0.11 - Prob. 18ECh. 0.11 - Prob. 19ECh. 0.11 - Prob. 20ECh. 0.11 - Prob. 21ECh. 0.11 - Prob. 22ECh. 0.12 - Prob. 1ECh. 0.12 - Prob. 2ECh. 0.12 - Prob. 3ECh. 0.12 - Prob. 4ECh. 0.12 - Prob. 5ECh. 0.12 - Prob. 6ECh. 0.12 - Prob. 7ECh. 0.12 - Prob. 8ECh. 0.12 - Prob. 9ECh. 0.12 - Prob. 10ECh. 0.12 - Prob. 11ECh. 0.12 - Prob. 12ECh. 0.12 - Prob. 13ECh. 0.12 - Prob. 14ECh. 0.12 - Prob. 15ECh. 0.12 - Prob. 16ECh. 0.12 - Prob. 17ECh. 0.12 - Prob. 18ECh. 0.12 - Prob. 19ECh. 0.12 - Prob. 20ECh. 0.12 - Prob. 21ECh. 0.12 - Prob. 22ECh. 0.13 - Prob. 1ECh. 0.13 - Prob. 2ECh. 0.13 - Prob. 3ECh. 0.13 - Prob. 4ECh. 0.13 - Prob. 5ECh. 0.13 - Prob. 6ECh. 0.13 - Prob. 7ECh. 0 - Prob. 1PRCh. 0 - Prob. 2PRCh. 0 - Prob. 3PRCh. 0 - Prob. 4PRCh. 0 - Prob. 5PRCh. 0 - Prob. 6PRCh. 0 - Prob. 7PRCh. 0 - Prob. 8PRCh. 0 - Prob. 9PRCh. 0 - Prob. 10PRCh. 0 - Prob. 11PRCh. 0 - Prob. 12PRCh. 0 - Prob. 13PRCh. 0 - Prob. 14PRCh. 0 - Prob. 15PRCh. 0 - Prob. 16PRCh. 0 - Prob. 17PRCh. 0 - Prob. 18PRCh. 0 - Prob. 19PRCh. 0 - Prob. 20PRCh. 0 - Prob. 21PRCh. 0 - Prob. 22PRCh. 0 - Prob. 23PRCh. 0 - Prob. 24PRCh. 0 - Prob. 25PRCh. 0 - Prob. 26PRCh. 0 - Prob. 27PRCh. 0 - Prob. 28PRCh. 0 - Prob. 29PRCh. 0 - Prob. 30PRCh. 0 - Prob. 31PRCh. 0 - Prob. 32PRCh. 0 - Prob. 33PRCh. 0 - Prob. 34PRCh. 0 - Prob. 35PRCh. 0 - Prob. 36PRCh. 0 - Prob. 37PRCh. 0 - Prob. 38PRCh. 0 - Prob. 39PRCh. 0 - Prob. 40PRCh. 0 - Prob. 41PRCh. 0 - Prob. 42PRCh. 0 - Prob. 43PRCh. 0 - Prob. 44PRCh. 0 - Prob. 45PRCh. 0 - Prob. 46PRCh. 0 - Prob. 47PRCh. 0 - Prob. 48PRCh. 0 - Prob. 49PRCh. 0 - Prob. 50PRCh. 0 - Prob. 51PRCh. 0 - Prob. 52PRCh. 0 - Prob. 1POCh. 0 - Prob. 2POCh. 0 - Prob. 3POCh. 0 - Prob. 4POCh. 0 - Prob. 5POCh. 0 - Prob. 6POCh. 0 - Prob. 7POCh. 0 - Prob. 8POCh. 0 - Prob. 9POCh. 0 - Prob. 10POCh. 0 - Prob. 11POCh. 0 - Prob. 12POCh. 0 - Prob. 13POCh. 0 - Prob. 14POCh. 0 - Prob. 15POCh. 0 - Prob. 16POCh. 0 - Prob. 17POCh. 0 - Prob. 18POCh. 0 - Prob. 19POCh. 0 - Prob. 20POCh. 0 - Prob. 21POCh. 0 - Prob. 22POCh. 0 - Prob. 23POCh. 0 - Prob. 24POCh. 0 - Prob. 25POCh. 0 - Prob. 26POCh. 0 - Prob. 27POCh. 0 - Prob. 28POCh. 0 - Prob. 29POCh. 0 - Prob. 30POCh. 0 - Prob. 31POCh. 0 - Prob. 32POCh. 0 - Prob. 33POCh. 0 - Prob. 34POCh. 0 - Prob. 35POCh. 0 - Prob. 36POCh. 0 - Prob. 37POCh. 0 - Prob. 38POCh. 0 - Prob. 39POCh. 0 - Prob. 40POCh. 0 - Prob. 41POCh. 0 - Prob. 42POCh. 0 - Prob. 43POCh. 0 - Prob. 44POCh. 0 - Prob. 45POCh. 0 - Prob. 46POCh. 0 - Prob. 47POCh. 0 - Prob. 48POCh. 0 - Prob. 49POCh. 0 - Prob. 50POCh. 0 - Prob. 51POCh. 0 - Prob. 52POCh. 0 - Prob. 53POCh. 0 - Prob. 54POCh. 0 - Prob. 55POCh. 0 - Prob. 56POCh. 0 - Prob. 57POCh. 0 - Prob. 58POCh. 0 - Prob. 59POCh. 0 - Prob. 60POCh. 0 - Prob. 61POCh. 0 - Prob. 62POCh. 0 - Prob. 63POCh. 0 - Prob. 64POCh. 0 - Prob. 53PRCh. 0 - Prob. 54PRCh. 0 - Prob. 55PRCh. 0 - Prob. 56PRCh. 0 - Prob. 57PRCh. 0 - Prob. 58PRCh. 0 - Prob. 59PRCh. 0 - Prob. 65POCh. 0 - Prob. 66POCh. 0 - Prob. 67POCh. 0 - Prob. 68POCh. 0 - Prob. 69POCh. 0 - Prob. 70POCh. 0 - Prob. 71PO
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