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Mastering Indices and Factors

Learn about squares, cubes, factors, prime factors, HCF, LCM, and negative indices in this comprehensive presentation. Test your knowledge with interactive options!

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Mastering Indices and Factors

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  1. Unit 6Indices and Factors

  2. Unit 6 Indices and Factors Square and Square Roots

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

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

  5. What is the square root of 25? as

  6. You have finished viewing the presentation Square and Square Roots Please choose an option

  7. Unit 6Indices 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

  11. Unit 6Indices 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

  16. Unit 6Indices 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

  21. Unit 6Indices 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: 1 2 4 5 10 20

  23. You have finished viewing the presentation Factors Please choose an option

  24. Unit 6Indices 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

  27. Unit 6Indices 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

  31. Unit 6Indices 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

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