3. Converting a Decimal to Scientific Notation 1. Count the number N of places that the decimal point must be moved in order to arrive at a number x, where 1 < x < 10. 2. If the original number is greater than or equal to 1, the scientific notation is If the original number is between 0 and 1, the scientific notation is

4. Examples: Scientific Notation Write the number 5,100,000,000 in scientific notation. Solution: Write the number 0.00032 in scientific notation. Solution: Write as a decimal. Solution: 0.000043

6. Exponents: Basic Definitions If a is a real number and n is a positive integer,

7. Examples:

8. Using your calculator For Scientific Calculators: Evaluate: Keystrokes: 3.4 4= 133.6336 For Graphing Calculators: Evaluate: Keystrokes: 3.44= 133.6336 ^

9. Converting a Decimal to Scientific Notation 1. Count the number N of places that the decimal point must be moved in order to arrive at a number x, where 1 < x < 10. 2. If the original number is greater than or equal to 1, the scientific notation is If the original number is between 0 and 1, the scientific notation is

10. Examples: Scientific Notation Write the number 5,100,000,000 in scientific notation. Solution: Write the number 0.00032 in scientific notation. Solution: Write as a decimal. Solution: 0.000043

11. Stop for 7 th grade

12. Laws of Exponents

13. Example: Simplify the expression. Express the answer so only positive exponents occur.

14. Example: