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Algebraic Operations

S5 Int2. Algebraic Operations. Adding / Sub Indices. Negative Indices. www.mathsrevision.com. Fraction Indices. Harder Indices. S5 Int2. 1. Simplify the following fractions : . Starter Questions. Algebraic Operations. S5 Int2. Learning Intention. Success Criteria.

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Algebraic Operations

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  1. S5 Int2 Algebraic Operations Adding / Sub Indices Negative Indices www.mathsrevision.com Fraction Indices Harder Indices www.mathsrevision.com

  2. S5 Int2 1. Simplify the following fractions : Starter Questions www.mathsrevision.com

  3. Algebraic Operations S5 Int2 Learning Intention Success Criteria • To explain how to multiply and divide indices by adding / subtracting powers. • Understand basic rules for indices. • 2. Simplify indices. www.mathsrevision.com www.mathsrevision.com

  4. S5 Int2 an is a short hand way of writing a x a x a ……. (n factors) a is called the base number and n is called the index number Indices x 2 x 2 Calculate : 23 x 22 2 x 2 x 2 = 32 Calculate : 25 = 32 Can you spot the connection ! www.mathsrevision.com

  5. S5 Int2 Indices Calculate : 43÷ 42 4 x 4 x 4 = 4 ÷ 4 x 4 Calculate : 41 = 4 Can you spot the connection ! am x an = a(m + n)simply add powers am÷ an = a(m - n)simply subtract powers www.mathsrevision.com

  6. What Goes In The Box ? S5 Int2 f4 x g5 = b3 x b5= b8 a3 x a0 = y9÷ y5 = y4 Exercise 11 Page 209 www.mathsrevision.com

  7. S5 Int2 1. Simplify the following fractions : Starter Questions www.mathsrevision.com

  8. Algebraic Operations S5 Int2 Learning Intention Success Criteria • To explain how to hand fractional indices of powers. • Understand basic rules for fractional indices. • 2. Simplify fractional indices. www.mathsrevision.com www.mathsrevision.com

  9. S5 Int2 Fractions as Indices More Rules By the division rule www.mathsrevision.com

  10. S5 Int2 Fractions as Indices More Rules www.mathsrevision.com

  11. S5 Int2 More Rules Fractions as Indices www.mathsrevision.com

  12. S5 Int2 Fractions as Indices Exercise 12 Page 210 www.mathsrevision.com

  13. S5 Int2 1. Rationalise the denominator : Starter Questions www.mathsrevision.com

  14. Algebraic Operations S5 Int2 Learning Intention Success Criteria • To explain how to hand fractional indices of powers. • Understand basic rules for fractional indices. • 2. Simplify fractional indices. www.mathsrevision.com www.mathsrevision.com

  15. S5 Int2 Fractions as Indices www.mathsrevision.com

  16. S5 Int2 Fractions as Indices www.mathsrevision.com

  17. S5 Int2 Fractions as Indices In general we have www.mathsrevision.com

  18. S5 Int2 Examples : Simplify the following Fractions as Indices www.mathsrevision.com

  19. S5 Int2 Fractions as Indices Exercise 13 Page 211 www.mathsrevision.com

  20. S5 Int2 1. Rationalise the denominator : Starter Questions www.mathsrevision.com

  21. Algebraic Operations S5 Int2 Learning Intention Success Criteria • To show how to simplify harder fractional indices. • Simplify harder fractional indices. www.mathsrevision.com www.mathsrevision.com

  22. S5 Int2 Fractions as Indices Final Rule www.mathsrevision.com

  23. S5 Int2 Fractions as Indices Examples www.mathsrevision.com

  24. S5 Int2 Fractions as Indices Examples www.mathsrevision.com

  25. S5 Int2 Example : Change to index form Fractions as Indices Example : Change to surd form www.mathsrevision.com

  26. S5 Int2 Fractions as Indices Exercise 213 Page 213 www.mathsrevision.com

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