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## Discussion

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### The Real Number System

Important subsets of the real numbers are: the natural numbers, the whole numbers, the integers, the rationals, and the irrationals.

The number line can be used to graph sets of numbers.

Each positive number has 2 square roots. The positive one is called the principal square root.

Use decimal approximations of irrational numbers to compare and order a set of real numbers that includes some irrationals.

### The Real Number System

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- The Real Number System 0:21
- Natural Numbers
- Whole Numbers
- Integers
- Rational Numbers
- Example: Decimals
- The Real Number System, Cont. 5:00
- Square Roots
- Principle Square Root
- Irrational Numbers
- The Real Number System, Cont. 9:11
- Picture Representation
- Lecture Example 1 11:54
- Lecture Example 2 14:10
- Additional Example 3
- Additional Example 4

0 answers

Post by Kang-Il Kim on May 9, 2012

On the first section, when it says b is not= to 0 does that same thing apply to a???????????

0 answers

Post by Ronnie Niven on April 12, 2012

On example 1 there is an explanation that square roots of any numbers that are not a perfect square are irrational and then go on to give examples but include the square root of 4. This is surely wrong since the square root of 4 = 2, a rational number..

3 answers

Last reply by: Jeanette Akers

Fri Jan 20, 2012 8:51 AM

Post by Timothy miranda on March 24, 2010

At 8:40 you say pi seems "like an irrational number" but "in fact it's not". Can you explain what makes pi exempt from being classified as an irrational number when it does seem to have all the traits irrational number have. Thanks