1. Scientific and Standard Notation

2. Why do we use Scientific Notation Used to make very large (or small) confusing numbers easy to read. Used to make very large (or small) confusing numbers easy to read.

3. Scientific Notation Written in the form of M X 10 n M is a number between 1 and 9.999…..but not 10!! “N” is the number of times we move the decimal

4. +N Tells us it’s a number >1 (Large number) Move the decimal to the right. 4.6 x 10 5 -N Tells us it’s a number <1 (Small number) Move the decimal to the left. 4.6 x 10 -5

5. Examples Distance between the Earth to the nearest star Distance between the Earth to the nearest star 40,000,000,000,000 miles Diameter of a nucleus of an atom Diameter of a nucleus of an atom 0.000 000 01 centimeters 0.000 000 01 centimeters

6. Standard to Scientific Notation 40,000,000,000,000 0.000 000 01

7. Scientific to Standard Notation Average distance between the Earth and Sun 1.49 x 10 11 km = _________________________ 1.49 0 0 0 0 0 0 0 0 0. 0 km 149,000,000,000.0 km

8. Scientific to Standard Notation 0.2 x 10 -5 = _________________________ 0.2 0 0 0.000 002 0 0 0.

9. Common Numbers We See

11. Quick Review: Put these values into Scientific Notation: – 6,870,000 – 0.000000000478 – 2.0 Put these values into Standard Notation: – 4.6 X 10 9 – 7.86 X 10 -5 – 3.2 X 10 0

12. a)What is % Error? 1.How far from the true or accepted answer my calculation is 2.How “ wrong ” I am 3.The percent error in my calculation or measurement b)Add formula to your ESRT p. 1 (equations box) c)Used to evaluate the validity of a measurement or calculation

13. % Error = mv – av X 100 av mv = measured value av = accepted value

14. Practice…. 1.Mr. Babicz measured the height of his new bookcase to be 4.85 m. The manufacturer ’ s measurement of the bookcase ’ s height is 4.50 m. Calculate Mr. Babicz’s percent error: 1.The actual density of water is 1.0 g/mL. A student measured the density to be 1.14 g/mL. What is the percent error of this calculation?