Math unit6 indices and factors
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This document contains 8 presentations on indices and factors: 1) Square and square roots 2) Cube and cube roots 3) Index notation 4) Rules of indices 5) Factors 6) Prime factors 7) Highest common factor and lowest common multiple 8) Negative indices Each presentation explains a concept and provides examples.
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Math unit6 indices and factors
- 1. Unit 6 Indices and Factors Presentation 1 Square and Square Roots Presentation 2 Cube and Cube Roots Presentation 3 Index Notation Presentation 4 Rules of Indices Presentation 5 Factors Presentation 6 Prime Factors Presentation 7 HCF and LCM Presentation 8 Negative 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 2 Cube and Cube Roots Presentation 3 Index Notation Presentation 4 Rules of Indices Presentation 5 Factors Presentation 6 Prime Factors Presentation 7 HCF and LCM Presentation 8 Negative 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 1 Square and Square Roots Presentation 3 Index Notation Presentation 4 Rules of Indices Presentation 5 Factors Presentation 6 Prime Factors Presentation 7 HCF and LCM Presentation 8 Negative 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 1 Square and Square Roots Presentation 2 Cube and Cube Roots Presentation 4 Rules of Indices Presentation 5 Factors Presentation 6 Prime Factors Presentation 7 HCF and LCM Presentation 8 Negative 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 1 Square and Square Roots Presentation 2 Cube and Cube Roots Presentation 3 Index Notation Presentation 5 Factors Presentation 6 Prime Factors Presentation 7 HCF and LCM Presentation 8 Negative 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: 1 2 4 5 10 20
- 23. You have finished viewing the presentation Factors Please choose an option Return to Start Presentation 1 Square and Square Roots Presentation 2 Cube and Cube Roots Presentation 3 Index Notation Presentation 4 Rules of Indices Presentation 6 Prime Factors Presentation 7 HCF and LCM Presentation 8 Negative 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 1 Square and Square Roots Presentation 2 Cube and Cube Roots Presentation 3 Index Notation Presentation 4 Rules of Indices Presentation 5 Factors Presentation 7 HCF and LCM Presentation 8 Negative 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 1 Square and Square Roots Presentation 2 Cube and Cube Roots Presentation 3 Index Notation Presentation 5 Negative Indices Presentation 6 Standard Form Presentation 7 Calculations and Standard Form
- 31. Unit 6 Indices and Factors Negative Indices
- 34. Evaluate
- 35. You have finished viewing the presentation Negative Indices Please choose an option Return to Start Presentation 1 Square and Square Roots Presentation 2 Cube and Cube Roots Presentation 3 Index Notation Presentation 4 Rules of Indices Presentation 5 Factors Presentation 6 Prime Factors Presentation 7 HCF and LCM