1. Short hand ! www.mathsrevision.com 10 100 = 10 x 10
1 000 = 10 x 10 x 10
= 10 x 10 x 10 x 10
= 10 x 10 x 10 x 10 x 10
= 10 x 10 x 10 x 10 x 10 x 10

2. Scientific Notation
It’s how we make veryyyy Big numbers smaller

3. Standard Form www.mathsrevision.com This is also known as
200 = 2 x 100
4 000 = 4 x 1000
= 7 x
= 5 x
= 3 x
This is also known as
Scientific Notation.

4. Standard Form Exercise 1 2 000 = 2 x 1000 (2) 20 000 (3) 500
(4)
(5)
= 2 x 1000
= 2 x
= 5 x 100
= 8 x
= 9 x

5. A short cut 8 000 000 . . www.mathsrevision.com
Move the point to get a
number between 1 and 10
The point moved 6 places . .
Add the
decimal point
Between 1 and 10

6. A short cut 92 000 000 . . www.mathsrevision.com
Move the point to get a
number between 1 and 10
The point moved 7 places . .
Add the
decimal point
Between 1 and 10

7. A short cut 2 200 000 000 . . Move the point to get a
number between 1 and 10
The point moved 9 places . .
Add the
decimal point
Between 1 and 10

8. A short cut 228 000 000 . . Move the point to get a
number between 1 and 10
The point moved 8 places . .
Add the
decimal point
Between 1 and 10

9. Standard Form Give answers to 1 decimal place (1) 30 000 (2) 700 000
(3) 5 300
(4)
(5)
(6)
(7)
(8)
(9)
(10)

10. Add 7 zeros, although you probably won’t need them all.
Changing back
The point moves 7 places
8.6 . =
Zeros after the point aren’t needed.
Hint:
Add 7 zeros, although you probably won’t need them all.

11. Add 5 zeros, although you probably won’t need them all.
Changing back
The point moves 5 places
3.46
00000 . =
Hint:
Add 5 zeros, although you probably won’t need them all.
Zeros after the point aren’t needed.

12. Changing back (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) = 600 000
= 8 000 = = = = = = = =

13. Negative Notations= small VERY VERY small numbers
Convert to scientific notation
Must be a number 1-10
The decimal must be moved behind the 9
9.02
The decimal moves seven spaces to the right, making the exponent -7
9.02 x 10-7

14. 5.45 x 10-3      

15. Practice Change the following numbers to standard notation
8.85 x 104  
1.847 x 102
x 10-3
88500                     
184.7                             .