Scientific Notation and Unitary Rates

Scientific notation: is used to express very large or very small numbers using powers of 10.

In scientific notation it's written like: 

                  a × 10^b

In scientific notation, the  a can not be smaller then 0 or greater then 10 therefore we must move the decimal place.

Examples would be:

Ordinary decimal notation	Scientific notation (normalized)
300	3×102
4,000	4×103
5,720,000,000	5.72×109
0.0000000061	6.1×10−9

We can also express scientific notation in standard form...

Ex. a) 3.25 x 10⁹

         = 3 250 000 000

       b) 8.76 x 10⁻³

            

            = 0.00876

Instead of doing the calculations by hand we can plug it into a calculator by:

- Plugging in the number (example 3.25)

- Press EXP or EE 

- Then an exponent looking like 00 will show up 

- Plug in however many numbers you want in the exponent 

- Press the "=" sign and you have your answer! 

Unitary Rates:

Ex. If 1m is 100 cm, what is 1 m^2?

1m^{2 = 10000 cm2} 

Practices:

Convert a) 8.1 m^{3  to km3} 

 

b) 2.4 m^{3  to 8.2 cm2}