2. The Long Way
4700
= 470 x 10
= 47 x 10 x 10
= 4.7 x 10 x 10 x 10
4.7 x 10 x 10 x 10 = 4.7 x (103
)

3. Definitions
4.7 x (103
) is called the standard form
of 4700.
It is in scientific notation if the
number at the start (4.7) lies
between 1 and 10

4. Examples
Write the following in scientific notation.
1. 83000
= 8300 x 10
= 830 x 10 x 10
= 83 x 10 x 10 x 10
= 8.3 x 10x 10 x 10 x 10
= 8.3 x (104
)
8.3 lies bewteen 1 and 10

5. Examples
Write the following in scientific notation.
2. 361000
= 36100 x 10
= 3610 x 10 x 10
= 361 x 10 x 10 x 10
= 36.1 x 10 x 10 x 10 x 10
= 3.61 x 10 x 10 x 10 x 10 x 10
= 3.61 x (105
)
3.61 lies bewteen 1 and 10

6. The Short Way
Let’s look again at the examples
1. 83000
= 8300 x 10
= 830 x 10 x 10
= 83 x 10 x 10 x 10
= 8.3 x 10x 10 x 10 x 10
= 8.3 x (104
)
Changing 83000 to 8.3 meant
moving the point 4 places

7. The Short Way
Let’s look again at the examples
1. 631000
= 63100 x 10
= 6310 x 10 x 10
= 631 x 10 x 10 x 10
= 63.1 x 10x 10 x 10 x 10
= 6.31 x 10 x 10 x 10 x 10 x 10
= 6.31 x (105
)
Changing 631000 to 6.31 meant
moving the point 5 places

8. Examples
Write in scientific notation.
1. 29000
2. 3300
3. 987000
4. 50000
5. 701000

9. Examples
Write in scientific notation.
1. 29000 = 2.9 x 104
2. 3300 = 3.3 x 103
3. 987000 = 9.87 x 105
4. 50000 = 5 x 104
5. 701000 = 7.01 x 105

10. Example
Convert form scientific notation to number form
1. 8.3 x (104
)
= 8.3 x 10 x 10 x 10 x 10
= 83 x 10 x 10 x 10
= 830 x 10 x 10
= 8300 x 10
= 83000

11. Example
Convert form scientific notation to number form
1. 6.31 x (105
)
= 6.31 x 10 x 10 x 10 x 10 x 10
= 63.1 x 10 x 10 x 10 x 10
= 631 x 10 x 10 x 10
= 6310 x 10 x 10
= 63100 x 10
= 631000

12. The Short Way
Let’s look again at the examples
1. 8.3 x (104
)
= 8.3 x 10 x 10 x 10 x 10
= 83 x 10 x 10 x 10
= 830 x 10 x 10
= 8300 x 10
= 83000
Changing 8.3 to 83000 meant
moving the point 4 places to
the right

13. The Short Way
1. 6.31 x (105
)
= 6.31 x 10 x 10 x 10 x 10 x 10
= 63.1 x 10 x 10 x 10 x 10
= 631 x 10 x 10 x 10
= 6310 x 10 x 10
= 63100 x 10
= 631000
Changing 631000 to 6.31 meant
moving the point 5 places to
the right

14. Examples
Write in number form.
1. 7.4 x 103 =
2. 1.3 x 106 =
3. 5.51 x 104 =
4. 3 x 101 =
5. 4.27 x 107 =

15. Examples
Write in number form.
1. 7.4 x 103
= 7400
2. 1.3 x 106
= 1300000
3. 5.51 x 104
= 55100
4. 3 x 101
= 30
5. 4.27 x 107
= 42700000

16. Textbook pg 19 Ex 1.11
Questions 1 - 5