Scientific Notation

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

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

Scientific Notation Circle the numbers that are in scientific notation. 14.5x108 3.9x10-4 1.6984275x1014 0.682x10-1 1.90x100 Ask about the zero

Scientific Notation

Converting from Standard form to Scientific Notation Standard Form Scientific Notation 0.0047 (original number is less than 1) _____________ 22,598.7 (original number is greater than 10) ______________ 595 _______________ 4.7 x 10-3 2.25987 x 104 5.95 x 102

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

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

Converting from Scientific Notation to Standard Form Scientific Notation Standard Form 3.772x104 (exponent is positive) _____________ 9.8x10-3 (exponent is negative) _____________ 5.36042x106 ______________ 37,720 .0098 5,360,420

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 8.792 2nd ee 9 enter”

Practice Calculations (5.44x10-3)(6.669x108) = 3627936 or 3.62796 x 106 (1.72x1016)(3.99x10-5) = 84558896.01 or 8.46x107 (8.116x103)