1. Scientific Notation AP Chemistry August 11 th, 2015

2. Scientific Notation  To represent very large numerical values or very small numerical values, we will use scientific notation!

3. Scientific Notation To be in proper scientific notation the number must be written with * a coefficient term between 1 and 10 * and multiplied by a power of ten 23 X 10 5 is not in proper scientific notation. Why?

4. Scientific Notation  A positive exponent shows that the decimal point is shifted that number of places to the right. (Number is large aka greater than 1)  A negative exponent shows that the decimal point is shifted that number of places to the left. (Number is small aka less than 1)

5. Scientific Notation- Powers of Ten

6. Scientific Notation  Using scientific notation, rewrite the following numbers. Or convert back to standard notation.  347,000.  902,000,000.  61,400.  1.23 X 10 5  6.806 X 10 6

7. Scientific Notation  Using scientific notation, rewrite the following numbers. Or convert back to standard notation.  347,000.  3.47 X 10 5  902,000,000.  9.02 X 10 8  61,400.  6.14 X 10 4  1.23 X 10 5  123,000  6.806 X 10 6  6,806,000

8. Scientific Notation  4,000  2.48 X 10 3  6.123 X 10 6  306,000,000

9. Scientific Notation  4,000  4 X 10 3  2.48 X 10 3  2,480  6.123 X 10 6  6,123,000  306,000,000  3.06 X 10 8

10. Scientific Notation  Negative powers of ten:

11. Scientific Notation Using Scientific Notation, rewrite the following numbers.  0.000882  0.00000059  0.00004

12. Scientific Notation Using Scientific Notation, rewrite the following numbers.  0.000882  8.82 X 10 -4  0.00000059  5.9 X 10 -7  0.00004  4 X 10 -5

13. Scientific Notation  0.0004  1.248 X 10 -6  6.123 X 10 -5  0.00000306  0.000892

14. Scientific Notation  0.0004  4 X 10 -4  1.248 X 10 -6  0.000001248  6.123 X 10 -5  0.00006123  0.00000306  3.06 X 10 -6  0.000892  8.92 X 10 -4

15. Multiplication When multiplying numbers written in scientific notation…..multiply the first factors and add the exponents. Sample Problem: Multiply (3.2 x 10 -3 ) (2.1 x 10 5 )

16. Division Divide the numerator by the denominator. Subtract the exponent in the denominator from the exponent in the numerator. Sample Problem: Divide (6.4 x 10 6 ) by (1.7 x 10 2 )

17. Practice 1.(3.05 x 10 6 ) ÷ (4.55 x 10¯ 10 ) 1.(2.68 x 10¯ 5 ) x (4.40 x 10¯ 8 ) 3. (8.41 x 10 6 ) x (5.02 x 10 12 ) 4. (9.21 x 10¯ 4 ) ÷ (7.60 x 10 5 )