perfect numbers designed by the countesses jill, kathy, bev, karen & sarah
Post on 22-Dec-2015
215 views
TRANSCRIPT
![Page 1: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/1.jpg)
Perfect Numbers
Designed by The CountessesJill, Kathy, Bev, Karen & Sarah
![Page 2: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/2.jpg)
Perfect Numbers
In this presentation you will learn what perfect numbers are and how to identify them. You will look at whole numbers,
fractions, and negative numbers.
![Page 3: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/3.jpg)
Definition
A Perfect Number is a number that has
equal factors.
![Page 4: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/4.jpg)
Examples of perfect numbers
4 = 2x2 25 = 5x5 1= 1x1
64 = 8x8 81 = 9x9 36 = 6x6
The numbers in black are all perfect squares because they have 2 equal factors.
![Page 5: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/5.jpg)
More Examples of Perfect Numbers
8 = 2x2x2 1000 = 10x10x10
125 = 5x5x5
The numbers in black are perfect cubes because they have 3 equal factors.
![Page 6: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/6.jpg)
TRY THESE !!!
Three of the following numbers are perfect squares. Two of the following numbers are perfect cubes? Find both of the perfect cubes before you go on.
49
144
27
125
![Page 7: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/7.jpg)
No This is a Perfect Square.
This number has two equal factors.
Return
![Page 8: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/8.jpg)
Yes This is a Perfect Cube.
This number has three equal factors.
![Page 9: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/9.jpg)
Factor A factor is a number that divides
into another with no remainder. 2 is a factor of 6 because:
2 divides into 6 three times with no remainder
2 is not a factor of 7 because: 2 divides into 7 three times with a
remainder of one
![Page 10: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/10.jpg)
Special numbers
In addition to whole numbers, you will look at fractions and negative numbers. The Rule for perfect numbers still applies to fractions and negative numbers.
Remember – Numbers can be perfect squares or perfect cubes.
![Page 11: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/11.jpg)
Remember !!!
A Perfect Number is a number that has
equal factors.
![Page 12: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/12.jpg)
Fractions that are perfect numbers
If both the numerator and denominator are perfect squares or if both are perfect cubes, then the fraction is perfect.
¼ = ½ x ½ 9/25 = 3/5 x 3/5
8/27 = 2/3 x 2/3 x 2/3
3/25 is not perfect because 3 is not perfect.
4/27 is not perfect because 4 is a perfect square and 27 is a perfect cube.
![Page 13: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/13.jpg)
Which two fractions are perfect?
9/25 16/21
1/36 23
25
8/25
![Page 14: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/14.jpg)
Good Job !!!
This number is
Perfect.
Return
![Page 15: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/15.jpg)
Sorry
Review the Rules
This number is not
Perfect.
Back to the quiz
![Page 16: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/16.jpg)
Remember !!
Note: If both the numerator and denominator are perfect squares or if both are perfect cubes, then the fraction is perfect.
A Perfect Number is a number that has equal factors.
![Page 17: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/17.jpg)
Negative Numbers that are Perfect
Perfect cubes can be negative.
-8 is perfect because -8 = -2 x -2 x -2
Perfect squares cannot be negative.
-4 is not perfect because -4 does not have two equal factors.
(-2 x -2 -4 and 2 x 2 -4)
![Page 18: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/18.jpg)
Which two are perfect?
-25 -27
-16-1000
![Page 19: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/19.jpg)
Good Job !!!
This number is
Perfect.
Return
![Page 20: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/20.jpg)
Sorry
Review the Rules
This number is not
Perfect.
Back to the quiz
![Page 21: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/21.jpg)
Remember !!
Perfect cubes can be negative.
Perfect squares cannot be negative.
A Perfect Number is a number that has equal factors.
![Page 22: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/22.jpg)
Final Quiz
End
Click on numbers that are perfect. ( There are 6.)
100
49/81
1711
- 9
1/7- 8/27
![Page 23: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/23.jpg)
Good job!!
Find More
This number is Perfect!!!
![Page 24: Perfect Numbers Designed by The Countesses Jill, Kathy, Bev, Karen & Sarah](https://reader035.vdocument.in/reader035/viewer/2022062516/56649d785503460f94a5aa00/html5/thumbnails/24.jpg)
Sorry
TRY AGAIN
This number is
Not Perfect!!