1. Standard form is used to express and work with very large and very small numbers, without writing out all the zeros.
can be written as 3.4 x 109
can be written as 7.2 x 10-5
Both of these types of standard form numbers have two parts, the first part has to be between 1 and ….. and the second part, which has to be x 10n, tells you the size of the number.
Your calculator may show these types of numbers differently.
Type in x to see how it show the answer of

2. How to convert ordinary numbers into standard form numbers
A x 10n
First work out what the first part of the standard form number, this must be between 1 and …….
540000
5.4
Next work out the second part, this shows the size and must go x 10n
5.4 x 105
One way of doing this is to see how many places the decimal has to move to match its position in the first part. If the number doesn’t have a decimal then it goes on the end.
This has moved 5 times, so x 105. A positive power means a large number.

3. How to convert ordinary numbers into standard form numbers
What would these be:
8.963
1.204
8.963 x 107
1.204 x 106
670000
6.7 1
6.7 x 105
1 x 108

4. How to convert ordinary numbers into standard form numbers
What would these be:
8.9
1.204
8.9 x 10-5
1.204 x 10-3
0.001
6.7 1
6.7 x 10-7
1 x 10-3

5. How to convert ordinary numbers into standard form numbers
What would these be:
23 x 106
0.56 x 10-4
2.3 x 101 x 106
5.6 x 10-1 x 10-4
2.3 x 107
5.6 x 10-5

6. How to convert standard form numbers into ordinary numbers
The x 105 tells you this is going to be a large number and the decimal point need to move 5 place (to the right)
5.4 x 105
5.4
Fill the gaps with zeros.
What would these be:
3.4 x 105
3.6 x 10-7
340000

7. 1

10. 2

12. 3

14. 4