1 / 26

# Algebraic Operations - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Algebraic Operations' - tailynn

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Algebraic Operations

Negative Indices

www.mathsrevision.com

Fraction Indices

Harder Indices

www.mathsrevision.com

1. Simplify the following fractions :

### Starter Questions

www.mathsrevision.com

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

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

### 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

S5 Int2

f4 x g5 =

b3 x b5=

b8

a3 x a0 =

y9÷ y5 =

y4

Exercise 11 Page 209

www.mathsrevision.com

1. Simplify the following fractions :

### Starter Questions

www.mathsrevision.com

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

### Fractions as Indices

More Rules

By the division rule

www.mathsrevision.com

### Fractions as Indices

More Rules

www.mathsrevision.com

More Rules

### Fractions as Indices

www.mathsrevision.com

### Fractions as Indices

Exercise 12 Page 210

www.mathsrevision.com

1. Rationalise the denominator :

### Starter Questions

www.mathsrevision.com

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

### Fractions as Indices

www.mathsrevision.com

### Fractions as Indices

www.mathsrevision.com

### Fractions as Indices

In general we have

www.mathsrevision.com

Examples : Simplify the following

### Fractions as Indices

www.mathsrevision.com

### Fractions as Indices

Exercise 13 Page 211

www.mathsrevision.com

1. Rationalise the denominator :

### Starter Questions

www.mathsrevision.com

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

### Fractions as Indices

Final Rule

www.mathsrevision.com

### Fractions as Indices

Examples

www.mathsrevision.com

### Fractions as Indices

Examples

www.mathsrevision.com

Example : Change to index form

### Fractions as Indices

Example : Change to surd form

www.mathsrevision.com

### Fractions as Indices

Exercise 213 Page 213

www.mathsrevision.com