Properties of Real Numbers
Upcoming SlideShare
Loading in...5
×
 

Properties of Real Numbers

on

  • 109,716 views

Students review some of the properties of Real Numbers.

Students review some of the properties of Real Numbers.

Statistics

Views

Total Views
109,716
Views on SlideShare
105,411
Embed Views
4,305

Actions

Likes
17
Downloads
1,758
Comments
12

28 Embeds 4,305

http://pvschools.mrooms2.net 1784
http://learn.pvschools.net 1189
http://elearning.yuc.edu.sa:8081 413
http://www.slideshare.net 376
http://dranglin.net 160
http://www.leadlms.com.sg 151
http://elearning.yuc.edu.sa 84
https://tasks.crowdflower.com 27
http://jujo00obo2o234ungd3t8qjfcjrs3o6k-a-sites-opensocial.googleusercontent.com 21
http://hollenbeckms.org 18
http://robertfant.com 17
http://www.hollenbeckms.org 15
http://pvschools.yourmoodle.com 9
http://www.dranglin.net 7
http://blendedschools.blackboard.com 7
http://hullmathteacher.blogspot.com 7
http://www.edmodo.com 3
http://profiles.friendster.com 3
http://nrmps.edmodo.com 3
http://www.plataformaeleven.com 2
http://www.robertfant.com 2
https://www.coursesites.com 1
http://moodle.goshenschools.org 1
http://translate.googleusercontent.com 1
https://clev.blackboard.com 1
http://www.isilkroute.com 1
file:// 1
http://www.slideee.com 1
More...

Accessibility

Categories

Upload Details

Uploaded via as Microsoft PowerPoint

Usage Rights

CC Attribution-ShareAlike LicenseCC Attribution-ShareAlike License

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel

110 of 12 Post a comment

  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
  • @undefined
    Are you sure you want to
    Your message goes here
    Processing…
  • it is verrrrrrrrrrrrrrryyyyyyyyyyyy nice presetation
    Are you sure you want to
    Your message goes here
    Processing…
  • how to download presentation?
    Are you sure you want to
    Your message goes here
    Processing…
  • Very easy to download any presentation.
    Very interesting
    Very helpful
    Are you sure you want to
    Your message goes here
    Processing…
  • Awesome.
    Are you sure you want to
    Your message goes here
    Processing…

110 of 12

Post Comment
Edit your comment

Properties of Real Numbers Properties of Real Numbers Presentation Transcript

  • Properties of Real Numbers
  • You'll Learn To: Properties of Real Numbers Vocabulary 1) real numbers 2) rational numbers 3) irrational numbers
    • Classify real numbers.
    • Use the properties of real numbers to evaluate expressions.
  • All of the numbers that you use in everyday life are real numbers . Properties of Real Numbers
  • All of the numbers that you use in everyday life are real numbers . Each real number corresponds to exactly one point on the number line, and Properties of Real Numbers
  • All of the numbers that you use in everyday life are real numbers . Each real number corresponds to exactly one point on the number line, and Properties of Real Numbers x
  • All of the numbers that you use in everyday life are real numbers . Each real number corresponds to exactly one point on the number line, and Properties of Real Numbers x 0 1 2 3 4 5 -5 -4 -2 -1 -3
  • All of the numbers that you use in everyday life are real numbers . Each real number corresponds to exactly one point on the number line, and every point on the number line represents one real number. Properties of Real Numbers x 0 1 2 3 4 5 -5 -4 -2 -1 -3
  • All of the numbers that you use in everyday life are real numbers . Each real number corresponds to exactly one point on the number line, and every point on the number line represents one real number. Properties of Real Numbers x 0 1 2 3 4 5 -5 -4 -2 -1 -3
  • Real numbers can be classified a either _______ or ________. Properties of Real Numbers
  • Real numbers can be classified a either _______ or ________. rational irrational Properties of Real Numbers
  • Real numbers can be classified a either _______ or ________. rational irrational zero Properties of Real Numbers Ratio nal numbers can be expressed as a ratio , where a and b are integers and b is not ____!
  • Real numbers can be classified a either _______ or ________. rational irrational zero The decimal form of a rational number is either a terminating or repeating decimal. Properties of Real Numbers Ratio nal numbers can be expressed as a ratio , where a and b are integers and b is not ____!
  • Real numbers can be classified a either _______ or ________. rational irrational zero The decimal form of a rational number is either a terminating or repeating decimal. Examples: ratio form decimal form Properties of Real Numbers Ratio nal numbers can be expressed as a ratio , where a and b are integers and b is not ____!
  • Real numbers can be classified a either _______ or ________. rational irrational zero The decimal form of a rational number is either a terminating or repeating decimal. Examples: ratio form decimal form Properties of Real Numbers Ratio nal numbers can be expressed as a ratio , where a and b are integers and b is not ____!
  • Real numbers can be classified a either _______ or ________. rational irrational zero The decimal form of a rational number is either a terminating or repeating decimal. Examples: ratio form decimal form Properties of Real Numbers Ratio nal numbers can be expressed as a ratio , where a and b are integers and b is not ____!
  • Real numbers can be classified a either _______ or ________. rational irrational zero The decimal form of a rational number is either a terminating or repeating decimal. Examples: ratio form decimal form Properties of Real Numbers Ratio nal numbers can be expressed as a ratio , where a and b are integers and b is not ____!
  • Real numbers can be classified a either _______ or ________. rational irrational A real number that is not rational is irrational. Properties of Real Numbers
  • Real numbers can be classified a either _______ or ________. rational irrational A real number that is not rational is irrational. The decimal form of an irrational number neither __________ nor ________. Properties of Real Numbers
  • Real numbers can be classified a either _______ or ________. rational irrational A real number that is not rational is irrational. The decimal form of an irrational number neither __________ nor ________. terminates repeats Properties of Real Numbers
  • Real numbers can be classified a either _______ or ________. rational irrational A real number that is not rational is irrational. The decimal form of an irrational number neither __________ nor ________. terminates repeats Examples: Properties of Real Numbers
  • Real numbers can be classified a either _______ or ________. rational irrational A real number that is not rational is irrational. The decimal form of an irrational number neither __________ nor ________. terminates repeats Examples: More Digits of PI? Properties of Real Numbers
  • Real numbers can be classified a either _______ or ________. rational irrational A real number that is not rational is irrational. The decimal form of an irrational number neither __________ nor ________. terminates repeats Examples: More Digits of PI? Do you notice a pattern within this group of numbers? Properties of Real Numbers
  • Real numbers can be classified a either _______ or ________. rational irrational A real number that is not rational is irrational. The decimal form of an irrational number neither __________ nor ________. terminates repeats Examples: More Digits of PI? Do you notice a pattern within this group of numbers? Properties of Real Numbers
  • Real numbers can be classified a either _______ or ________. rational irrational A real number that is not rational is irrational. The decimal form of an irrational number neither __________ nor ________. terminates repeats Examples: More Digits of PI? Do you notice a pattern within this group of numbers? They’re all PRIME numbers! Properties of Real Numbers
  • Relationships among the real numbers - ( sets and subsets ). Properties of Real Numbers
  • Q = rationals I = irrationals Relationships among the real numbers - ( sets and subsets ). Properties of Real Numbers Q I
  • Q = rationals I = irrationals Z = integers Relationships among the real numbers - ( sets and subsets ). Properties of Real Numbers Q I Z
  • Q = rationals I = irrationals Z = integers W = wholes Relationships among the real numbers - ( sets and subsets ). Properties of Real Numbers Q I Z W
  • The square root of any whole number is either whole or irrational. Properties of Real Numbers
  • The square root of any whole number is either whole or irrational. Properties of Real Numbers For example, is a whole number, but , since it lies between 5 and 6, must be irrational.
  • The square root of any whole number is either whole or irrational. Properties of Real Numbers x 0 1 3 2 4 5 6 7 9 8 10 For example, is a whole number, but , since it lies between 5 and 6, must be irrational.
  • The square root of any whole number is either whole or irrational. Common Misconception: Do not assume that a number is irrational just because it is expressed using the square root symbol. Find its value first! Properties of Real Numbers x 0 1 3 2 4 5 6 7 9 8 10 For example, is a whole number, but , since it lies between 5 and 6, must be irrational.
  • The square root of any whole number is either whole or irrational. Common Misconception: Do not assume that a number is irrational just because it is expressed using the square root symbol. Find its value first! Study Tip: KNOW and recognize (at least) these numbers, Properties of Real Numbers x 0 1 3 2 4 5 6 7 9 8 10 For example, is a whole number, but , since it lies between 5 and 6, must be irrational.
  • The real number system is an example of a mathematical structure called a field . Some of the properties of a field are summarized in the table below: Properties of Real Numbers
  • The real number system is an example of a mathematical structure called a field . Some of the properties of a field are summarized in the table below: Associative Identity Inverse Distributive Properties of Real Numbers Commutative Real Number Properties For any real numbers a , b , and c . Property Addition Multiplication
  • The real number system is an example of a mathematical structure called a field . Some of the properties of a field are summarized in the table below: Commutative Associative Identity Inverse Distributive Properties of Real Numbers Real Number Properties For any real numbers a , b , and c . Property Addition Multiplication
  • The real number system is an example of a mathematical structure called a field . Some of the properties of a field are summarized in the table below: Commutative Associative Identity Inverse Distributive Properties of Real Numbers Real Number Properties For any real numbers a , b , and c . Property Addition Multiplication
  • The real number system is an example of a mathematical structure called a field . Some of the properties of a field are summarized in the table below: Commutative Associative Identity Inverse Distributive Properties of Real Numbers Real Number Properties For any real numbers a , b , and c . Property Addition Multiplication
  • The real number system is an example of a mathematical structure called a field . Some of the properties of a field are summarized in the table below: Commutative Associative Identity Inverse Distributive Properties of Real Numbers Real Number Properties For any real numbers a , b , and c . Property Addition Multiplication
  • The real number system is an example of a mathematical structure called a field . Some of the properties of a field are summarized in the table below: Commutative Associative Identity Inverse Distributive Properties of Real Numbers Real Number Properties For any real numbers a , b , and c . Property Addition Multiplication
  • Consider these Java Applets to better understand the Distributive Property Algebra Tiles 1 Algebra Tiles 2 End of Lesson
  • Credits PowerPoint created by Using Glencoe’s Algebra 2 text, © 2005 Robert Fant