1. Scientific Notation

2. What is Scientific Notation?
A way to express either very large or very small numbers

3. Scientific Notation
Each number represented in scientific notation has 3 parts:
The coefficient must be greater than 1 or less than 10
The exponent can be positive or negative
Write down the 3 parts

4. Scientific Notation
Circle the numbers that are in scientific notation. 14.5x x x x x100
Ask about the zero

5. Scientific Notation

6. Converting from Standard form to Scientific Notation
Standard Form Scientific Notation
(original number is less than 1) _____________
22,598.7 (original number is greater than 10) ______________
_______________
4.7 x 10-3
x 104
5.95 x 102

7. Converting from Scientific Notation to Standard Form
A positive exponent means the number is very big
Move the decimal to the right
A negative exponent means the number is very small
Move the decimal to the left

8. Converting from Scientific Notation to Standard Form
Draw in the loops to indicate how many zeros you need to add

9. Converting from Scientific Notation to Standard Form
Scientific Notation Standard Form 3.772x104 (exponent is positive) _____________ 9.8x10-3 (exponent is negative) _____________ x106 ______________
37,720
.0098
5,360,420

10. Performing Calculations in Scientific Notation
***use the “ee” button on your calculator Example: (3.4x106)(8.792x109) = 2.99x1016 In your calculator, enter “3.4 2nd ee 6 X nd ee 9 enter”

11. Practice Calculations
(5.44x10-3)(6.669x108) = or x 106 (1.72x1016)(3.99x10-5) = or 8.46x107 (8.116x103)