Download Thursday 3rd March Index laws and notation - first

Standard Form
Objective:
To be able to understand and
use standard form
Standard Form
x
10
A number between 1 and 10
(but not including 10)
A power of 10
Example
20000000000000000000000000
number
is HUGE!!
It isThis
much
easier
25to write the
number in standard form
x
2 10
A number between 1 and 10
(but not including 10)
A power of 10
Example
0.000000000000006
number
is Tiny!!
It isThis
much
easier
-15to write the
number in standard form
x
6 10
A number between 1 and 10
(but not including 10)
A power of 10
Let’s try some together...
a) 900000
b) 78000000
c) 0.0000005
d) 0.00000123
YOUR TURN!
a) 7000
b) 86000
c) 340000000
d) 0.00000012
e) 0.056
f) 0.0000478
Multiply two numbers
4 x 1018 x 3 x 104
Numbers
NOT Std
Form!
Powers of 10
4x3
x 1018 x 104
= 12 x
1022
= 1.2 x 101 x 1022
= 1.2 x 1023
ADD powers
Let’s try some together...
(2x 102) x (4 x 105)
(8 x 108) x (2 x 10-5)
(25 x 108) ÷ (5 x 102)
Try these....
1. (3 x 104) x (2 x 105)
2. (4 x 103) x (3 x 105)
3. (7 x 104) x (2 x 10-3)
4. (8 x 106) ÷ (2 x 102)
5. (20 x 104) ÷ (4 x 108)
BINGO