The Real Number System

May 28th, 2015
Studypool Tutor
Price: $10 USD

Tutor description

•Real numbers consist of all the rational and irrational numbers.•The real number system has many subsets:–Natural Numbers – Whole Numbers – Integers

Word Count: 1282
Showing Page: 1/13
The Real Number SystemReal numbers consist of all the rational and irrational numbers.The real number system has many subsets:Natural Numbers Whole Numbers Integers 1. Natural numbers are the set of counting numbers.{1, 2, 3,}2. Whole numbers are the set of numbers that include 0 plus the set of natural numbers.{0, 1, 2, 3, 4, 5,}3. Integers are the set of whole numbers and their opposites.{,-3, -2, -1, 0, 1, 2, 3,}4. Rational numbers are any numbers that can be expressed in the form of , where a and b are integers, and b 0. They can always be expressed by using terminating decimals or repeating decimals. Terminating decimals are decimals that contain a finite number of digits.Examples:a. 36.8b. 0.125c. 4.55. Repeating decimals are decimals that contain a infinite number of digits.Examples:a. 0.333b. 1.9c. 7.6896896. Irrational numbers are any numbers that cannot be expressed as . They are expressed as non-terminating, non-repeating decimals; decimals that go on forever without repeating a pattern.Examples of irrational numbers:a. 0.34334333433334b. 45.86745893c. (pi)d. Other Vocabulary Associated with the Real Number System(ellipsis)continues without end{ } (set)a collection of objects or numbers. Sets are notated by using braces { }.Finitehaving bounds; limitedInfinitehaving no boundaries or limitsVenn diagrama diagram consisting of circles or squares to show rela

Review from student

Studypool Student
" Top quality work from this guy! I'll be back! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1827 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors