1. 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

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

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

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

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

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

7. Example Work out the following
(b)

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

9. work out , in standard form (i) (ii)
Example
Given that and
work out , in standard form
(i) (ii)
Here we use the button for the standard form and type for X
EXP
EXP 1 . 2 – 5
And for Y we type
EXP 5 – 9

10. Example
A rectangle has length AB = km and width BC = km.
Giving your answer in standard form, find
the area,
the perimeter of this rectangle.