1. Scientific Notation

2. How far away is the nearest Star besides our Sun (Proxima Centauri)? ________________________ (__________) This number is written in decimal notation. When numbers get this large, it is easier to write them in scientific notation.

3. A number is expressed in scientific notation when it is in the form _______ where __ is between 1 and 10 and __ is an integer (neg. and pos. whole number)

4. Write the distance to Proxima Centauri in scientific notation. 40 000 000 000 000 km Where is the decimal point now? After the last zero. Where would you put the decimal to make this number be between 1 and 10? _________________________

5. 4. 0,000,000,000,000. How many decimal places did you move the decimal? _____ When the original number is more than 1, the exponent is positive. The answer in scientific notation is ________

6. 1) Express 0.0000000902 in scientific notation. Where would the decimal go to make the number be between 1 and 10? ____ The decimal was moved how many places? ___ When the original number is less than 1, the exponent is negative. ________

7. Write 28750.9 in scientific notation. 1. 2.87509 x 10 -5 2. 2.87509 x 10 -4 3. 2.87509 x 10 4 4. 2.87509 x 10 5

8. Example 1 Given: 289,800,000 Use: ________ Answer: _____________

9. Example 2 Given: 0.000567 Use: ______ Answer: _________

10. 2) Express 1.8 x 10 -4 in decimal notation. ____________ 3) Express 4.58 x 10 6 in decimal notation. _____________

11. Write in PROPER scientific notation. (Notice the number is not between 1 and 10) 8) 234.6 x 10 9 ____________ 9) 0.0642 x 10 4 ____________

12. Write 531.42 x 10 5 in scientific notation. 1..53142 x 10 2 2. 5.3142 x 10 3 3. 53.142 x 10 4 4. 531.42 x 10 5 5. 53.142 x 10 6 6. 5.3142 x 10 7 7..53142 x 10 8

13. Example 3 Given: 5.093 x 10 6 Answer: ________________________________

14. Example 4 Given: 1.976 x 10 -4 Answer: ___________________________________

15. Significant Digits and Scientific Notation When trying to determine the number of significant digits within scientific notation we leave it the way it is and follow the same rules and pretend the x 10 n is not there. E.g. 0.01130x10 -4 has ___ significant digits 5.3x10 15 has ___ significant digits