1. Scientific Notation

2. 10 1 = 10 10 2 = 10 x 10 = 100 10 3 = 10 x 10 x 10 = 1000

3. Scientific Notation, cont. 10 -1 = 1/10 = 0.1 10 -2 = 1/(10x10) = 0.01 10 -3 = 1/(10x10x10) = 0.001

4. Using Scientific Notation For Large Numbers: 4.5 billion = 5283 = Rules Write number with only one non-zero digit before the decimal point. Count how many places to the left the decimal point was moved to accomplish this. Write this number as a positive exponent of ten.

5. Using Scientific Notation For Large Numbers: 4.5 billion = 4,500,000,000= 4.5 x 10 9 5283 = 5.283 x 10 3 Rules Write number with only one non-zero digit before the decimal point. Count how many places to the left the decimal point was moved to accomplish this. Write this number as a positive exponent of ten.

6. Using Scientific Notation, cont. For Small Numbers: 0.00137 = 0.000068 = Rules Write number with only one non-zero digit before the decimal point. Count how many places to the right the decimal point was moved to accomplish this. Write this number as a negative exponent of ten.

7. Using Scientific Notation, cont. For Small Numbers: 0.00137 = 1.37 x 10 -4 0.000068 = 6.8 x 10 -5 Rules Write number with only one non-zero digit before the decimal point. Count how many places to the right the decimal point was moved to accomplish this. Write this number as a negative exponent of ten.

8. Putting it Together: Sig Figs & Scientific Notation ) x (2.60 x 10 6 ) = (2.340 x 10 -3 ) x (2.60 x 10 6 ) = (5.405 x 10 6 ) + (3.09 x 10 5 ) = (5.405 x 10 6 ) + (3.09 x 10 5 ) =

9. Assignment Read Ch 2.7 in text Do assigned homework problems found in the range 2.83-2.124. Note: NOT all problems in this range, just the assigned ones.