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Algebraic Operations

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# algebraic operations - PowerPoint PPT Presentation

S4 Credit. Algebraic Operations. Adding / Sub Indices. Negative Indices. www.mathsrevision.com. Fraction Indices. Harder Indices. S4 Credit. Starter Questions. 1. True or false. Algebraic Operations. S4 Credit. Learning Intention. Success Criteria.

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S4 Credit

### Algebraic Operations

Adding / Sub Indices

Negative Indices

www.mathsrevision.com

Fraction Indices

Harder Indices

www.mathsrevision.com

S4 Credit

### Starter Questions

1. True or false

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Algebraic Operations

S4 Credit

Learning Intention

Success Criteria

• To explain how to multiply and divide indices by adding / subtracting powers.
• Understand basic rules for indices.
• 2. Simplify indices.

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www.mathsrevision.com

S4 Credit

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 !

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S4 Credit

4 x 4 x 4

= 4

### Indices

÷ 4 x 4

Calculate : 43÷ 42

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

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What Goes In The Box ?

S4 Credit

3f4 x 3g5 =

b3 x b5=

2m4 x 3m33=

6m37

b8

8a3 x 7a0 =

y9÷ y5 =

10s23÷2s11 =

56a3

y4

5s12

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Indices

S4 Credit

Now try MIA

Ex 2.1 & Ex3.1

Ch9 (page 176)

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Created by Mr Lafferty Maths Dept

S4 Credit

1. True or false

### Starter Questions

www.mathsrevision.com

Algebraic Operations

S4 Credit

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

S4 Credit

### Fractions as Indices

More Rules

By the division rule

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S4 Credit

### Fractions as Indices

More Rules

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What Goes In The Box ?

S4 Credit

Re-write each with positive indices

w11

9a3

1

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S4 Credit

More Rules

### Fractions as Indices

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What Goes In The Box ?

S4 Credit

(b3)5=

(2m4)2 =

4m8

b15

(y9)-5 =

(10s2)3 =

y-45

1000s6

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Indices

S4 Credit

Now try MIA

Ex 4.1 & Ex5.1

Ch9 (page 178)

Created by Mr Lafferty Maths Dept

S4 Credit

### Starter Questions

1. Does 5 + 2 x 3 = 11 or 21

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Algebraic Operations

S4 Credit

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

S4 Credit

### Fractions as Indices

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S4 Credit

### Fractions as Indices

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S4 Credit

### Fractions as Indices

In general we have

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S4 Credit

### Fractions as Indices

Final Rule

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S4 Credit

Examples : Simplify the following

### Fractions as Indices

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S4 Credit

### Fractions as Indices

Examples

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S4 Credit

### Fractions as Indices

Examples

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S4 Credit

Example : Change to index form

### Fractions as Indices

Example : Change to radical sign √

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Indices

S4 Credit

Now try MIA

Ex 6.1

Ch9 (page 181)

Created by Mr Lafferty Maths Dept