1. Chapter 2: Scientific Notation

2. # x 10n # = greater than or equal to 1 and less than 10.
n = any number …-2,-1,0,1,2…

3. Scientific Notation m m

4. Scientific Notation and Significant Digits
When a measurement is expressed in scientific notation all the digits in the number are significant however the 10n is not a part of the significant digits in that it only tells use how to move the decimal point.
3.60 x 1025 mg

5. Scientific Notation and Significant Digits
Scientific Notation eliminates the need to use a bar over the zero to make the zero significant.
1000g

6. Scientific Notation m m

7. Scientific Notation
7.75 x 10-6 m
2.07 x 1019 m

8. Scientific Notation 7.75 x 10-6 m 2.07 x 1019 m
Now multiply them together

9. (7.75 x 10-6 m) x (2.07 x 1019 m) =
x 1014

10. (7.75 x 10-6 m) x (2.07 x 1019 m) =
x 1014
1.60 x 1014 m2

11. Write the number in scientific notation.
There are copper atoms in this sample of copper sulfate.

12. 8.02 x 1023 Cu atoms
There are copper atoms in this sample of copper sulfate.

13. Write the number in scientific notation.
The mass of a proton is g

14. 1.67267 x 10-24g The mass of a proton is

15. Practice Problem
8.02 x 1023 copper atoms

16. Practice Problem 8.02 x 1023 copper atoms
Each copper atom contains 29 protons

17. Practice Problem 8.02 x 1023 copper atoms
Each copper atom contains 29 protons
Mass of a proton is x grams

18. Practice Problem 8.02 x 1023 copper atoms.
Each copper atom contains 29 protons
Mass of a proton is x grams
What is the mass of all of copper’s protons in the sample?

19. Practice Problem 8.02 x 1023 copper atoms.
Each copper atom contains 29 protons
Mass of a proton is x grams
What is the mass of all of copper’s protons in the sample?
(8.02 x 1023)(29)( x g)

20. Practice Problem 8.02 x 1023 copper atoms.
Each copper atom contains 29 protons
Mass of a proton is x grams
What is the mass of all of copper’s protons in the sample?
(8.02 x 1023)(29)( x g) = g

21. Practice Problem 8.02 x 1023 copper atoms.
Each copper atom contains 29 protons
Mass of a proton is x grams
What is the mass of all of copper’s protons in the sample?
(8.02 x 1023)(29)( x g) = g = 38.9g

22. Homework Worksheet: Significant Digits and Rounding (due tomorrow).
Worksheet: Scientific Notation (due in two days).