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INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith
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For more information, please see full course syllabus of Algebra 1
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Lecture Comments (7)

1 answer

Last reply by: Dr Carleen Eaton
Wed Jan 14, 2015 11:50 PM

Post by Harlan Reece on December 30, 2014

How did you arrive at 3.1459 as the repeated pattern of Pi?

1 answer

Last reply by: Dr Carleen Eaton
Sat Sep 14, 2013 2:35 PM

Post by Prince Dalieh on August 6, 2013

In the lecture,you said that irrational numbers can not be express as A/B an example of irrational number is Pi,and Pi is  22/7 or 3.14.

My question is is 22/7 is rational or irrational and does it in the form of A/B or not?

2 answers

Last reply by: Taylor Wright
Mon Jun 17, 2013 11:36 PM

Post by Taylor Wright on June 17, 2013

How did you approximate it to 1.73 ? Is there a specific method for figuring this out?

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.

Real Number System

To what sets of numbers does the following number belong?
- 8
Real, Integer, Rational
To what sets of numbers does the following number belong?
− [22/60]
Real, Rational
To what sets of numbers does the following number belong?
√5
Real, Irrational
Order the numbers from largest to smallest value:
π, [28/9] , 3.5 , √{10}
[28/9] , π, √{10} , 3.5
To what sets of numbers does the following number belong?
- 2
real, integer, rational
To what sets of numbers does the following number belong?
[5/15]
real, rational
To what sets of numbers does the following number belong?
√{50}
real, irrational
To what sets of numbers does the following number belong?
- 67
real, rational, integer
To what sets of numbers does the following number belong?
− [1/8]
real, rational
To what sets of numbers does the following number belong?
√{100}
real, irrational

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

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
  • Real Number System 0:31
    • Natural Numbers
    • Whole Numbers
    • Integers
    • Rational Numbers
    • Cannot Divide by Zero
    • Decimals
    • Example: Terminating or Repeating
  • Real Number System, Cont. 3:37
    • Square Roots
    • Examples
    • Irrational Numbers
    • Examples
    • Perfect Square
  • Real Number System, Cont. 6:49
    • Example: Number Line
  • Example 1: Which Set of Numbers 7:54
  • Example 2: Graph on Number Line 10:04
  • Example 3: Approximate Irrational Number 12:47
  • Example 4: Order Largest to Smallest 13:57