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Lesson 1-2

Lesson 1-2. Scientific Notation. Dealing with Micro and Macro. Scales in Chemistry Eames Movie: Powers of Ten Exponential (and Scientific) Notation A mathematical system that keeps number easier to manage. In Chemistry the Numbers are astronomically large!.

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Lesson 1-2

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  1. Lesson 1-2 Scientific Notation

  2. Dealing with Micro and Macro • Scales in Chemistry • Eames Movie: Powers of Ten • Exponential (and Scientific) Notation • A mathematical system that keeps number easier to manage

  3. In Chemistry the Numbers are astronomically large! • Atoms are tiny, and to work with enough to measure we need huge numbers of them • 234,000,000,000 • 53,000,000,000,000,000,000 • 602,000,000,000,000,000,000,000 • Demonstration – number of molecules in 1 ml water • Chemists use a mathematical shortcut called “scientific notation” in order to keep the math manageable

  4. Scientific Notation • Scientific Notation is a shortcut that uses powers of 10 • Scientific Notation is when a whole number is multiplied by some factor of ten 90 = 9 x 101 900 = 9 x 102 9,000 = 9 x 103 90,000 = 9 x 104 900,000 = 9 x 105 4 x 103 = 4,000 5 x 105 = • All Numbers can be expressed this way using the format # x 10x

  5. Writing Numbers in Scientific Notation • Write 250 in scientific notation • What we want: a number in the form 2.5 x 10x • What we do: move decimal from the end until it gets next to the two250 . = 2.5 x 102

  6. More Practice • 450,000 = 4.5 x 10? • 345,678,000 = 3.45678 x 10? • 8765,000,000 =

  7. Positive and Negative Exponents • A positive exponent on the number ten means a number is greater than 1 300 = 3 x 102 3,000 = 3 x 103 30,000 = 3 x 104 • A negative exponent on the number ten means a number is less than 1 0.2 = 2 x 10-1 0.02 = 2 x 10-2 0.002 = 2 x 10-3

  8. Are the Exponents Positive or Negative? • When converting numbers to scientific notation we keep track of the direction and how many spaces we move a decimal… 0.00356 = 267,000 =

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