1. Scientific Notation Way to simplify BIG and small numbers

2. Scientific Notation Coefficient x 10 exponent 602000000000000000000000 can be 6.02 x 10 23 exponent coefficient

3. Scientific Notation Coefficient x 10 exponent Coefficient MUST be between 1 and 9 Exponent can be either positive or negative + exponent  large # (> 1) - exponent  small # (< 1)

4. Scientific Notation Convert the following into of scientific notation 35893 = ____________ 3.5893 x 10 4

5. Your turn! 0.00548 = ___________ 10.25 = ___________ 5.48 x 10 -3 1.025 x 10 1

6. Scientific Notation Convert the following out of scientific notation 2.579 x 10 4 = ________ 25790 8.647 x 10 -5 = ________ 0.00008647

7. Put into Scientific Notation

9. Put INTO Sci. Not.

10. Convert out of Sci.Not.

11. Dimensional Analysis Used to convert between units You need to use a conversion factor

12. Conversion Factor Ratio equal to “1” Contains the unit that you currently have (given in problem) and the unit that you want to convert to

13. Examples: 12 inches = 1 foot 60 seconds = 1 minute 12 inches 1 foot 12 inches 1 foot OR 60 seconds 1 minute 60 seconds 1 minute OR

14. Dimensional Analysis Conversion Unit that you have Unit that you have Unit that you want = Unit that You want X  T-diagram Conversion Factor

15. Single-step conversions 30 seconds = ? minutes 30 seconds 60 seconds 1 minute = 0.5 minute

16. Example How many inches are in 3.7 feet? (12 inches = 1 ft) 3.7 ft 1 ft 12 in= 44 in

17. Multi-Step Conversion The conversion factor does NOT contain both the unit that you have and the unit that you want. The unit conversion requires multiple (more than one) steps.

18. Example How many Liters are there in 8.2 quarts? 8.2 qt 32 oz 1 qt = Conversion factors: 1 qt = 32 oz 1 qt =.94 Liters 32 oz.94 L = 7.71 Liters

19. You can do this! How many minutes are in 2 days? (given) 2 days

20. You can do this! How many minutes are in 2 days? (given) 2 days (given) 1 day 24 hours 1 hour 60 minutes = 2880 minutes BUT… since there is only 1 digit in the given, there can only be 1 digit in the answer so… = 3,000 minutes

21. Examples

22. Last one smarty pants! How many seconds are in 2 decades?

23. Last one smarty pants! How many seconds are in 2 decades? 2 decades 1 day1 year1 decade 24 hours 365.25 days 10 years 1 minute 1 hour 60 seconds60 minutes = 631,152,000 seconds BUT… since there is only 1 digit in the given, there can only be 1 digit in the answer so… = 600,000,000 seconds Now in scientific notation… = 6 x 10 8 seconds

24. The Fundamental SI Units (le Système International, SI)

25. SI Prefixes Common to Chemistry PrefixUnit Abbr.Exponent Kilok10 3 Decid10 -1 Centic10 -2 Millim10 -3 Micro  10 -6 Nanon10 -9