Algebraic%20Operations

1
Algebraic Operations
S4 Credit
Adding / Sub Indices
Negative Indices
www.mathsrevision.com
Fraction Indices
Harder Indices
2
Starter Questions
S4 Credit
1. True or false
3
Algebraic Operations
S4 Credit
Learning Intention
Success Criteria

1. To explain how to multiply and divide indices by
   adding / subtracting powers.

1. Understand basic rules for indices.

2. Simplify indices.
www.mathsrevision.com
4
Indices
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
Calculate 23 x 22
x 2 x 2
2 x 2 x 2
32
Calculate 25
32
Can you spot the connection !
5
Indices
S4 Credit
4 x 4 x 4
4
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
6
What Goes In The Box ?
S4 Credit
b3 x b5
3f4 x 3g5
2m4 x 3m33
b8
6m37
y9 y5
8a3 x 7a0
10s23 2s11
56a3
y4
5s12
7
Indices
S4 Credit
Now try MIA Ex 2.1 Ex3.1 Ch9 (page 176)
www.mathsrevision.com
8
Starter Questions
S4 Credit
1. True or false
9
Algebraic Operations
S4 Credit
Learning Intention
Success Criteria

1. To explain how to hand fractional indices of
   powers.

1. Understand basic rules for fractional indices.

2. Simplify fractional indices.
www.mathsrevision.com
10
Fractions as Indices
S4 Credit
More Rules
By the division rule
11
Fractions as Indices
S4 Credit
More Rules
12
What Goes In The Box ?
S4 Credit
Re-write each with positive indices
w11
9a3
1
13
Fractions as Indices
S4 Credit
More Rules
14
What Goes In The Box ?
S4 Credit
(b3)5
(2m4)2
4m8
b15
(y9)-5
(10s2)3
y-45
1000s6
15
Indices
S4 Credit
Now try MIA Ex 4.1 Ex5.1 Ch9 (page 178)
16
Starter Questions
S4 Credit
1. Does 5 2 x 3 11 or 21
17
Algebraic Operations
S4 Credit
Learning Intention
Success Criteria

1. To explain how to hand fractional indices of
   powers.

1. Understand basic rules for fractional indices.

2. Simplify fractional indices.
www.mathsrevision.com
18
Fractions as Indices
S4 Credit
19
Fractions as Indices
S4 Credit
20
Fractions as Indices
S4 Credit
In general we have
21
Fractions as Indices
S4 Credit
Final Rule
22
Fractions as Indices
S4 Credit
Examples Simplify the following
23
Fractions as Indices
S4 Credit
Examples
24
Fractions as Indices
S4 Credit
Examples
25
Fractions as Indices
S4 Credit
Example Change to index form
Example Change to radical sign v
26
Indices
S4 Credit
Now try MIA Ex 6.1 Ch9 (page 181)