1. Unit 6 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

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

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