unit6.ppt unit6.ppt unit6.pptunit6.pptunit6.pptunit6.pptunit6.ppt

unit6.ppt unit6.pptunit6.pptunit6.pptunit6.ppt

1. Unit
Indices and Factors
Presentation 1Square and Square Roots
Presentation 2Cube and Cube Roots
Presentation 3Index Notation
Presentation 4Rules of Indices
Presentation 5Factors
Presentation 6Prime Factors
Presentation 7HCF and LCM
Presentation 8Negative Indices

2. Unit 6
Indices and Factors
Square and Square Roots

3. What is
We say that 4 is the square root of 16

4. So is also a square root of 16
We write
What
is

5. What is the square root of 25?
as

6. You have finished viewing the presentation
Square and Square Roots
Please choose an option
Return to Start
Presentation 2Cube and Cube Roots
Presentation 3Index Notation
Presentation 4Rules of Indices
Presentation 5Factors
Presentation 6Prime Factors
Presentation 7HCF and LCM
Presentation 8Negative Indices

7. Unit 6
Indices and Factors
Cube and Cube Roots

8. What is
We say that the cube root of 125 is 5 and that
or

9. What is
Also

10. You have finished viewing the presentation
Cube and Cube Roots
Please choose an option
Return to Start
Presentation 1Square and Square Roots
Presentation 3Index Notation
Presentation 4Rules of Indices
Presentation 5Factors
Presentation 6Prime Factors
Presentation 7HCF and LCM
Presentation 8Negative Indices

11. Unit 6
Indices and Factors
Index Notation

12. What is

13. What is

14. Find n if
So

15. You have finished viewing the presentation
Index Notation
Please choose an option
Return to Start
Presentation 1Square and Square Roots
Presentation 2Cube and Cube Roots
Presentation 4Rules of Indices
Presentation 5Factors
Presentation 6Prime Factors
Presentation 7HCF and LCM
Presentation 8Negative Indices

16. Unit 6
Indices and Factors
Rules of Indices

17. Verify rule for
(using rule)
But
(as before!)
m and n are integers

18. Verify rule for
But
(as before!)

19. Verify rule for
But
(as before!)

20. You have finished viewing the presentation
Rules of Indices
Please choose an option
Return to Start
Presentation 1Square and Square Roots
Presentation 2Cube and Cube Roots
Presentation 3Index Notation
Presentation 5Factors
Presentation 6Prime Factors
Presentation 7HCF and LCM
Presentation 8Negative Indices

21. Unit 6
Indices and Factors
Factors

22. A factor of a positive whole number is any
positive whole number that will divide
exactly into it.
Example:Find all the factors of 20
You can write 20 as:
So factors of 20 in increasing order are:
12451020

23. You have finished viewing the presentation
Factors
Please choose an option
Return to Start
Presentation 1Square and Square Roots
Presentation 2Cube and Cube Roots
Presentation 3Index Notation
Presentation 4Rules of Indices
Presentation 6Prime Factors
Presentation 7HCF and LCM
Presentation 8Negative Indices

24. Unit 6
Indices and Factors
Prime Factors

25. Any positive whole number can be written
uniquely as the product of its prime factors.
Example:Write the number 276 as a
product of its prime factor
This is unique
?
?
?

26. You have finished viewing the presentation
Prime Factors
Please choose an option
Return to Start
Presentation 1Square and Square Roots
Presentation 2Cube and Cube Roots
Presentation 3Index Notation
Presentation 4Rules of Indices
Presentation 5Factors
Presentation 7HCF and LCM
Presentation 8Negative Indices

27. Unit 6
Indices and Factors
HCF and LCM

28. The HCF (Highest Common Factor) of two
(or more) positive integers is the largest
number which is a factor of both (or all) the
numbers.
Example:Find the HCF of 120 and 105
So, HCF = 3 x 5 = 15
Check: ,

29. The LCM (Lowest Common Multiple) of two
(or more) positive integers in the lowest
number into which both (or all) of the
numbers can divide exactly.
Example:Find the LCM of 24 and 60
Multiples of 24 are:
Multiples of 60 are:
So LCM = 120
Check ,
24,48,72,96,120,144, . . .
60,120,180,240,300, . . .

30. You have finished viewing the presentation
HCF and LCM
Please choose an option
Return to the Start
Presentation 1Square and Square Roots
Presentation 2Cube and Cube Roots
Presentation 3Index Notation
Presentation 5Negative Indices
Presentation 6Standard Form
Presentation 7Calculations and Standard Form

31. Unit 6
Indices and Factors
Negative Indices

32. We define
Evaluate

33. Evaluate
Evaluate

34. Evaluate

35. You have finished viewing the presentation
Negative Indices
Please choose an option
Return to Start
Presentation 1Square and Square Roots
Presentation 2Cube and Cube Roots
Presentation 3Index Notation
Presentation 4Rules of Indices
Presentation 5Factors
Presentation 6Prime Factors
Presentation 7HCF and LCM