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

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Presentation transcript:

Algebraic Operations Adding / Sub Indices Negative Indices Fraction Indices Harder Indices S5 Int2

Starter Questions 1.Simplify the following fractions : S5 Int2

Learning Intention Success Criteria 1.To explain how to multiply and divide indices by adding / subtracting powers. 1.Understand basic rules for indices. Algebraic Operations 2.Simplify indices. S5 Int2

Indices a n 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 Calculate :2 3 x 2 2 x 2 x 2 2 x 2 x 2= 32 Calculate :2 5 = 32 Can you spot the connection ! S5 Int2

Indices Calculate :4 3 ÷ 4 2 ÷ 4 x 4 4 x 4 x 4= 4 Calculate :4 1 = 4 Can you spot the connection ! a m x a n = a (m + n) simply add powers a m ÷ a n = a (m - n) simply subtract powers S5 Int2

What Goes In The Box ? b 3 x b 5 = y 9 ÷ y 5 = f 4 x g 5 = a 3 x a 0 = b8b8 y4y4 Exercise 11 Page 209 S5 Int2

Starter Questions 1.Simplify the following fractions : S5 Int2

Learning Intention Success Criteria 1.To explain how to hand fractional indices of powers. 1.Understand basic rules for fractional indices. Algebraic Operations 2.Simplify fractional indices. S5 Int2

More Rules By the division rule Fractions as Indices S5 Int2

More Rules Fractions as Indices S5 Int2

More Rules Fractions as Indices S5 Int2

Fractions as Indices Exercise 12 Page 210 S5 Int2

Starter Questions 1.Rationalise the denominator : S5 Int2

Learning Intention Success Criteria 1.To explain how to hand fractional indices of powers. 1.Understand basic rules for fractional indices. Algebraic Operations 2.Simplify fractional indices. S5 Int2

Fractions as Indices S5 Int2

Fractions as Indices S5 Int2

Fractions as Indices In general we have S5 Int2

Fractions as Indices Examples : Simplify the following S5 Int2

Fractions as Indices Exercise 13 Page 211 S5 Int2

Starter Questions 1.Rationalise the denominator : S5 Int2

Learning Intention Success Criteria 1.To show how to simplify harder fractional indices. 1.Simplify harder fractional indices. Algebraic Operations S5 Int2

Fractions as Indices Final Rule S5 Int2

Fractions as Indices Examples S5 Int2

Fractions as Indices Examples S5 Int2

Fractions as Indices Example :Change to index form Example :Change to surd form S5 Int2

Fractions as Indices Exercise 213 Page 213 S5 Int2