Lesson 6.9: Scientific Notation Standards: NS 1.1, AF 2.1 Objectives: Write scientific notation. Use scientific notation.

Objective - To use scientific notation to write very large or very small numbers. Examples: 6,320,000,000 = 9 jumps 0.000027 = 5 jumps

Large Numbers (positive exponent) 59,000,000 = 7 jumps 140,000,000,000 = 11 jumps Small Numbers (negative exponent) 0.000426 = 4 jumps 0.000009 = 6 jumps

Write using scientific notation. 1) 81,000 4) 0.00015 4 jumps 4 jumps 2) 1,396,000 5) 0.0000317 6 jumps 5 jumps 3) 80,000,000,000 10 jumps

Write each number in standard form. 1) 4) 1.9 3.41 190,000 0.00000341 2) 5) 2.43 6 0.000000243 600,000,000 3) 5.28 5,280,000,000

Multiplying Scientific numbers (2.3 x 106)(5 x 103) = Multiply the COEFFICIENTS (2.3 x 5) = 11.5 Add the EXPONENTS 6 + 3 = 109 Move decimal in final answer AND change exponent by 1. 11.5  1.15 x 1010

Comparing Numbers in Scientific Notation Order the following from greatest to least. middle largest smallest