1. Do First
Actions: Turn density lab into drawer if you did not turn it on Friday.
Questions:
What is the density of water?
Why was coke’s density greater than the diet coke?

2. Agenda
Scientific Notation Notes
Scientific Notation Practice

3. Scientific Notation

4. Why Scientists Use Scientific Notation
The Hope Diamond contains about 460,000,000,000,000,000,000,000 atoms of carbon
Each carbon atom has a mass of g
To calculate the mass of the Hope Diamond, you would multiply the number of carbon atoms by the mass of one carbon atom

5. Why Scientists Use Scientific Notation
Sounds easy enough, except for the fact that all those zeros would get in the way!
Using a calculator offers no help, as it won’t let you enter numbers this large or this small
Numbers such as these are best expressed in scientific notation
This method allows scientists to restate numbers without changing their value

6. Scientific Notation
Scientific notation can be used to express any number as a number from 1 through 9 (known as the coefficient) multiplied by 10 raised to a power (known as the exponent)
Carbon atoms in Hope Diamond = 4.6 x 1023
Mass of one carbon atom = 2 x 10-23
Coefficient
Exponent

7. Scientific Notation
In each case, the number 10 raised to an exponent replaced the zeros that preceded or followed the nonzero numbers
For numbers greater than 1, a positive exponent is used to indicate how many times the coefficient must be multiplied by 10 in order to obtain the original number
For numbers less than 1, a negative exponent indicates how many times the coefficient must be divided by 10 in order to obtain the original number

8. Scientific Notation
Determining the exponent to use when writing a number in scientific notation is easy!
Simply count the number of places the decimal point must be moved to give a coefficient from 1 through 9
The number of places moved equals the value of the exponent
The exponent is positive when the decimal moves to the left
The exponent is negative when the decimal moves to the right

9. Scientific Notation 460,000,000,000,000,000,000,000.  4.6 x 1023
Because the decimal point moves 23 places to the left, the exponent is 23
 2 x 10-23
Because the decimal point moves 23 places to the right, the exponent is -23

10. Scientific Notation Practice
Express each number in scientific notation
700 = 7 x 102
45,000,000 = 4.5 x 107
= 8 x 10-10
Express each quantity in regular notation along with its appropriate unit
3.60 x 105 s = 360,000 s
5.4 x 10-5 g/cm3 = g/cm3
5.060 x 103 km = 5060 km

11. Arithmetic and Scientific Notation
This is easy when using your calculator – JUST MAKE SURE YOU KNOW HOW TO DO IT!!
Practice
(3 x 104) + (5 x 10-8) = 3 x 104
(2 x 106) - (1 x 107) = -8 x 106
(6 x 109) x (2 x 10-3) = 1.2 x 107
(8 x 103) ÷ (4 x 10-2) = 2 x 105

12. Scientific Notation Practice

13. DYL
1. In scientific notation, does a positive exponent imply a big or small number? 2. In scientific notation, does a negative exponent imply a big or small number?