1. Index Notation
Saturday, 27 April 2019

2. Example
Work out each of the following a) b) c) d)
e) −2
Negative Indices

3. Example
Work out each of the following
a) −3
b) −2
c) −2
d) −2

4. Standard Form
A number expressed in standard form is a number written between 1 and 10 multiplied by 10 to an appropriate power.
The use of standard form is to represent very small numbers or very large numbers
For example
represented in standard form will be
represented in standard form will be

5. Example
Express each of the following in standard form
46200
90 000
0.004

6. Example
Express each of the following in standard form
90 000

7. Example
Express each of the following as ordinary numbers
(i)
(ii)
(iii)
(iv)

8. Example
The surface of the earth is about km2. Express this in standard form correct to two significant figures.

9. Example
Write the following list in order of size starting with the smallest
, , , ,

10. Example
Without a calculator work out the following and give your answer in standard form.
(a) 30 x
(b) x
(c)
(d)
(e)

11. Example
Given that and work out, without a calculator
(i) (ii)